An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations

Người báo cáo: Trịnh Minh Đức

Thời gian: 9h00 đến 11h00 sáng thứ 4 ngày 12/4/2023.

Địa điểm: Phòng 302 nhà A5 Viện Toán học

Tóm tắt: In this talk, We propose an adaptive meshless discretization method to solve the 2D elliptic equations using the radial basis function (RBF) interpolation. To enhance the efficiency of the method, we introduce the error indicator threshold for the meshless adaptive refinement.

8.1.30PHP Version181msRequest Duration4MBMemory UsageGET xemina-chi-tiet/{alias}Route
    • Booting (29.8ms)
    • Application (151ms)
    • 1 x Application (83.5%)
      151ms
      1 x Booting (16.5%)
      29.80ms
      7 templates were rendered
      • client.pages.seminar.seminar_detail (resources/views/client/pages/seminar/seminar_detail.blade.php)1blade
        Params
        0
        serminar
      • client.layout.app (resources/views/client/layout/app.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.head (resources/views/client/layouts/head.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.header (resources/views/client/layouts/header.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.navbar (resources/views/client/layouts/navbar.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.column_left (resources/views/client/layouts/column_left.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      • client.layouts.footer (resources/views/client/layouts/footer.blade.php)5blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        serminar
        4
        date_start
      uri
      GET xemina-chi-tiet/{alias}
      middleware
      web, locale
      controller
      App\Http\Controllers\SeminarController@view_seminar_detail
      namespace
      prefix
      where
      as
      seminar.detail
      file
      app/Http/Controllers/SeminarController.php:38-61
      36 statements were executed, 14 of which were duplicated, 22 unique55.63ms
      • select * from `serminars` where `ser_alias` = 'an-approach-to-adaptive-refinement-for-the-rbf-fd-method-for-2d-elliptic-equations' limit 1
        3.82ms/app/Http/Controllers/SeminarController.php:40beta_math_vn
        Metadata
        Bindings
        • 0. an-approach-to-adaptive-refinement-for-the-rbf-fd-method-for-2d-elliptic-equations
        Backtrace
        • 15. /app/Http/Controllers/SeminarController.php:40
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:262
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `members` where `members`.`id` in (522)
        1.28ms/app/Http/Controllers/SeminarController.php:40beta_math_vn
        Metadata
        Backtrace
        • 20. /app/Http/Controllers/SeminarController.php:40
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:262
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `serminar_rooms` where `serminar_rooms`.`id` in (35)
        910μs/app/Http/Controllers/SeminarController.php:40beta_math_vn
        Metadata
        Backtrace
        • 20. /app/Http/Controllers/SeminarController.php:40
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:262
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `pages`
        2.3ms/app/Repositories/Pages/PagesRepository.php:30beta_math_vn
        Metadata
        Backtrace
        • 17. /app/Repositories/Pages/PagesRepository.php:30
        • 18. view::41329013d802ceb5f40c0b002e8af12e76ed34df:33
        • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `pages`
        4.75ms/app/Repositories/Pages/PagesRepository.php:30beta_math_vn
        Metadata
        Backtrace
        • 17. /app/Repositories/Pages/PagesRepository.php:30
        • 18. view::41329013d802ceb5f40c0b002e8af12e76ed34df:73
        • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `departments` where `parent_id` = 0 order by `order` asc
        1.08ms/app/Repositories/Department/DepartmentRepository.php:17beta_math_vn
        Metadata
        Bindings
        • 0. 0
        Backtrace
        • 14. /app/Repositories/Department/DepartmentRepository.php:17
        • 15. view::41329013d802ceb5f40c0b002e8af12e76ed34df:91
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `departments` where `departments`.`parent_id` in (12, 13, 14, 15, 16) order by `order` asc
        1.4ms/app/Repositories/Department/DepartmentRepository.php:17beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Department/DepartmentRepository.php:17
        • 20. view::41329013d802ceb5f40c0b002e8af12e76ed34df:91
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `departments` where `departments`.`parent_id` = 1 and `departments`.`parent_id` is not null order by `order` asc
        1.04msview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 2 and `departments`.`parent_id` is not null order by `order` asc
        950μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 2
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 3 and `departments`.`parent_id` is not null order by `order` asc
        960μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 3
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 4 and `departments`.`parent_id` is not null order by `order` asc
        870μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 4
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 5 and `departments`.`parent_id` is not null order by `order` asc
        880μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 5
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 6 and `departments`.`parent_id` is not null order by `order` asc
        840μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 6
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 7 and `departments`.`parent_id` is not null order by `order` asc
        770μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 7
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 8 and `departments`.`parent_id` is not null order by `order` asc
        610μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 8
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 9 and `departments`.`parent_id` is not null order by `order` asc
        680μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 9
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 17 and `departments`.`parent_id` is not null order by `order` asc
        790μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 17
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `departments` where `departments`.`parent_id` = 10 and `departments`.`parent_id` is not null order by `order` asc
        610μsview::41329013d802ceb5f40c0b002e8af12e76ed34df:109beta_math_vn
        Metadata
        Bindings
        • 0. 10
        Backtrace
        • 19. view::41329013d802ceb5f40c0b002e8af12e76ed34df:109
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:37
      • select * from `cadres`
        660μs/app/Repositories/Department/DepartmentRepository.php:37beta_math_vn
        Metadata
        Backtrace
        • 17. /app/Repositories/Department/DepartmentRepository.php:37
        • 18. view::41329013d802ceb5f40c0b002e8af12e76ed34df:144
        • 20. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 21. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `posts_category`
        810μs/app/Repositories/Posts/PostsRepository.php:48beta_math_vn
        Metadata
        Backtrace
        • 15. /app/Repositories/Posts/PostsRepository.php:48
        • 16. view::41329013d802ceb5f40c0b002e8af12e76ed34df:186
        • 18. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `posts` where `hot` = 1 and `posts`.`deleted_at` is null order by `date_create` desc limit 3
        3.42ms/app/Repositories/Posts/PostsRepository.php:19beta_math_vn
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 14. /app/Repositories/Posts/PostsRepository.php:19
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:15
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `conferences` where date(`date_show`) <= '2025-12-31' and ((date(`date_create`) >= '2025-01-01' and date(`date_create`) <= '2025-12-31') or (date(`date_end`) >= '2025-01-01' and date(`date_end`) <= '2025-12-31') or (date(`date_create`) <= '2025-01-01' and date(`date_end`) >= '2025-12-31')) limit 3
        3.5ms/app/Repositories/Conferences/ConferencesRepository.php:39beta_math_vn
        Metadata
        Bindings
        • 0. 2025-12-31
        • 1. 2025-01-01
        • 2. 2025-12-31
        • 3. 2025-01-01
        • 4. 2025-12-31
        • 5. 2025-01-01
        • 6. 2025-12-31
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:39
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:43
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `prints` where `pr_hot` = '1' order by `created_at` desc limit 3
        5.03ms/app/Repositories/Pages/PagesRepository.php:156beta_math_vn
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 14. /app/Repositories/Pages/PagesRepository.php:156
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:74
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select `members`.*, `same_authorsables`.`same_authors_id` as `pivot_same_authors_id`, `same_authorsables`.`members_id` as `pivot_members_id`, `same_authorsables`.`same_authors_type` as `pivot_same_authors_type` from `members` inner join `same_authorsables` on `members`.`id` = `same_authorsables`.`members_id` where `same_authorsables`.`same_authors_id` in (1134, 1135, 1137) and `same_authorsables`.`same_authors_type` = 'App\Models\Prints'
        2.06ms/app/Repositories/Pages/PagesRepository.php:156beta_math_vn
        Metadata
        Bindings
        • 0. App\Models\Prints
        Backtrace
        • 18. /app/Repositories/Pages/PagesRepository.php:156
        • 19. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:74
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1137 order by `id` asc
        1.85ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1137
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (305, 306, 671)
        790μs/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1137 order by `id` asc
        1.24ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1137
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (305, 306, 671)
        730μs/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1135 order by `id` asc
        1.35ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1135
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (138, 161, 252)
        950μs/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1135 order by `id` asc
        1.66ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1135
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (138, 161, 252)
        1.47ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1134 order by `id` asc
        1.72ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1134
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (181, 667, 668, 669, 670)
        770μs/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:78
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `same_authorsables` where `same_authors_id` = 1134 order by `id` asc
        1.96ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Bindings
        • 0. 1134
        Backtrace
        • 14. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 15. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      • select * from `members` where `members`.`id` in (181, 667, 668, 669, 670)
        1.12ms/app/Repositories/Conferences/ConferencesRepository.php:70beta_math_vn
        Metadata
        Backtrace
        • 19. /app/Repositories/Conferences/ConferencesRepository.php:70
        • 20. view::4fd68d67ec55e7902e23cc158b632c528a6199cd:79
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      App\Models\SameAuthorsables
      22
      App\Models\Prints
      3
      App\Models\Conference
      3
      App\Models\Posts
      3
      App\Models\PostsCategory
      5
      App\Models\Cadres
      7
      App\Models\Department
      16
      App\Models\Pages
      54
      App\Models\SerminarRoom
      1
      App\Models\Members
      34
      App\Models\Serminars
      1
          _token
          Y2qVQLNuvKpEHwVCky39p2nEVR5LpTIHpnCbXEoY
          _previous
          array:1 [ "url" => "https://beta.math.ac.vn/xemina-chi-tiet/an-approach-to-adaptive-refinement-for...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /xemina-chi-tiet/an-approach-to-adaptive-refinement-for-the-rbf-fd-method-for-2d-elliptic-equations
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:15 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "beta.math.ac.vn" ] ]
          request_server
          0 of 0
          array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "beta.math.ac.vn" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "beta.math.ac.vn" "SERVER_PORT" => "443" "SERVER_ADDR" => "119.17.215.180" "REMOTE_PORT" => "54059" "REMOTE_ADDR" => "18.191.37.140" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/math.ac.vn/html/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/xemina-chi-tiet/an-approach-to-adaptive-refinement-for-the-rbf-fd-method-for-2d-elliptic-equations" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/math.ac.vn/html/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1743684826.6965 "REQUEST_TIME" => 1743684826 ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Thu, 03 Apr 2025 12:53:46 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IithZFFWbXI0U3NZM0NBUDZoMm44TGc9PSIsInZhbHVlIjoicU5QVTlQRkphQVU4QkJYa2p1cFVrenBWUWV5T0tzdThMU3k1NEcxMk82c1B0bExKOCtnckRkejRXV25HWWxDMlJKN0QzOFdHWEJLUDhoOHZCYnFNSnpHVmQ2M0tVNVFENFRRamZiOEsxeU40RnR6d3ZMUmtpWGtYWDAyWnU4R28iLCJtYWMiOiI5MTA3NWM1YTczMTdjZDU3NzAwMjRhMmFlMGYwMDNiMTA2YTZlNGJlM2E1Yzg5ZWE0YWFiNjI4YTY0M2I1ODZiIiwidGFnIjoiIn0%3D; expires=Thu, 03-Apr-2025 14:53:46 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IithZFFWbXI0U3NZM0NBUDZoMm44TGc9PSIsInZhbHVlIjoicU5QVTlQRkphQVU4QkJYa2p1cFVrenBWUWV5T0tzdThMU3k1NEcxMk82c1B0bExKOCtnckRkejRXV25HWWxDMlJKN0QzO" 1 => "laravel_session=eyJpdiI6IjNjLytWTXJ4YnlsSWRUM0NSWm9XbUE9PSIsInZhbHVlIjoiendlVkVYSG50Q0ZsR3o0T0JFU09XaHhGVVkreUY2bWszL2ZxckpWWDZrZjBxaWtoREMxbWNYZVdtMFdXSU5XYnFrL3FXeFZaVStFQm51SmdwaDlTRUcwSUNlb3VNZ1o4VFN6emdYb2N4bmx2dlNiVjhnczlyNnE4Y2gxZzFaSVciLCJtYWMiOiJiZDA0Y2E3Yjc3OTQ4YmYwMmNhMDAzMTc0MzI3ZGQ0OGEyNTgzODgyODVmYjg5YWY0NDIzNjk4MTE3ZjliOThmIiwidGFnIjoiIn0%3D; expires=Thu, 03-Apr-2025 14:53:46 GMT; Max-Age=7200; path=/; httponly; samesite=laxlaravel_session=eyJpdiI6IjNjLytWTXJ4YnlsSWRUM0NSWm9XbUE9PSIsInZhbHVlIjoiendlVkVYSG50Q0ZsR3o0T0JFU09XaHhGVVkreUY2bWszL2ZxckpWWDZrZjBxaWtoREMxbWNYZVdtMFdXSU5XYnFr" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IithZFFWbXI0U3NZM0NBUDZoMm44TGc9PSIsInZhbHVlIjoicU5QVTlQRkphQVU4QkJYa2p1cFVrenBWUWV5T0tzdThMU3k1NEcxMk82c1B0bExKOCtnckRkejRXV25HWWxDMlJKN0QzOFdHWEJLUDhoOHZCYnFNSnpHVmQ2M0tVNVFENFRRamZiOEsxeU40RnR6d3ZMUmtpWGtYWDAyWnU4R28iLCJtYWMiOiI5MTA3NWM1YTczMTdjZDU3NzAwMjRhMmFlMGYwMDNiMTA2YTZlNGJlM2E1Yzg5ZWE0YWFiNjI4YTY0M2I1ODZiIiwidGFnIjoiIn0%3D; expires=Thu, 03-Apr-2025 14:53:46 GMT; path=/XSRF-TOKEN=eyJpdiI6IithZFFWbXI0U3NZM0NBUDZoMm44TGc9PSIsInZhbHVlIjoicU5QVTlQRkphQVU4QkJYa2p1cFVrenBWUWV5T0tzdThMU3k1NEcxMk82c1B0bExKOCtnckRkejRXV25HWWxDMlJKN0QzO" 1 => "laravel_session=eyJpdiI6IjNjLytWTXJ4YnlsSWRUM0NSWm9XbUE9PSIsInZhbHVlIjoiendlVkVYSG50Q0ZsR3o0T0JFU09XaHhGVVkreUY2bWszL2ZxckpWWDZrZjBxaWtoREMxbWNYZVdtMFdXSU5XYnFrL3FXeFZaVStFQm51SmdwaDlTRUcwSUNlb3VNZ1o4VFN6emdYb2N4bmx2dlNiVjhnczlyNnE4Y2gxZzFaSVciLCJtYWMiOiJiZDA0Y2E3Yjc3OTQ4YmYwMmNhMDAzMTc0MzI3ZGQ0OGEyNTgzODgyODVmYjg5YWY0NDIzNjk4MTE3ZjliOThmIiwidGFnIjoiIn0%3D; expires=Thu, 03-Apr-2025 14:53:46 GMT; path=/; httponlylaravel_session=eyJpdiI6IjNjLytWTXJ4YnlsSWRUM0NSWm9XbUE9PSIsInZhbHVlIjoiendlVkVYSG50Q0ZsR3o0T0JFU09XaHhGVVkreUY2bWszL2ZxckpWWDZrZjBxaWtoREMxbWNYZVdtMFdXSU5XYnFr" ] ]
          session_attributes
          0 of 0
          array:4 [ "_token" => "Y2qVQLNuvKpEHwVCky39p2nEVR5LpTIHpnCbXEoY" "_previous" => array:1 [ "url" => "https://beta.math.ac.vn/xemina-chi-tiet/an-approach-to-adaptive-refinement-for-the-rbf-fd-method-for-2d-elliptic-equations" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]