Found 103 Documents (Results 1–100)
Robust convergence result of discontinuous Galerkin stabilization method for two-dimensional reaction-diffusion equation with discontinuous source term. (English) Zbl 07860042
A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers. (English) Zbl 1542.65158
A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. (English) Zbl 1522.35220
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts. (English) Zbl 07804201
A finite difference method for a singularly perturbed 2-D elliptic convection-diffusion PDEs on Shishkin-type meshes with non-smooth convection and source terms. (English) Zbl 1530.65142
Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions. (English) Zbl 07705770
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions. (English) Zbl 1524.65712
A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers. (English) Zbl 1540.65460
Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions. (English) Zbl 07692030
A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms. (English) Zbl 07691983
Supercloseness and post-processing of finite element method in a balanced norm for singularly perturbed reaction-diffusion equation. (English) Zbl 1538.65535
Supercloseness in a balanced norm of finite element methods on Shishkin and Bakhvalov-Shishkin rectangular meshes for reaction-diffusion problems. (English) Zbl 1527.65133
Mixed hp finite element method for singularly perturbed fourth order boundary value problems with two small parameters. (English) Zbl 1534.65249
Reviewer: Bülent Karasözen (Ankara)
Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems. (English) Zbl 1511.65069
A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem. (English) Zbl 1524.35056
Optimal convergence of finite element approximation to an optimization problem with PDE constraint. (English) Zbl 1493.65202
Error estimations in the balanced norm of finite element method on Bakhvalov-Shishkin triangular mesh for reaction-diffusion problems. (English) Zbl 1524.65837
Asymptotic analysis and a uniformly convergent numerical method for singular perturbation problems. (English) Zbl 1482.65219
Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems. (English) Zbl 1483.65124
Parameter-uniform numerical method for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers. (English) Zbl 1540.65459
Convergence and supercloseness in a balanced norm of finite element methods on Bakhvalov-type meshes for reaction-diffusion problems. (English) Zbl 1477.65250
A weighted and balanced FEM for singularly perturbed reaction-diffusion problems. (English) Zbl 1477.65231
The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems. (English) Zbl 1471.65173
Convergence of a finite element method on a Bakhvalov-type mesh for singularly perturbed reaction-diffusion equation. (English) Zbl 1508.65162
Enriched finite volume approximations of the plane-parallel flow at a small viscosity. (English) Zbl 1447.65051
Reviewer: Abdallah Bradji (Annaba)
Aliasing and two-dimensional well-balanced for drift-diffusion equations on square grids. (English) Zbl 1425.65093
Reviewer: Piotr Biler (Wrocław)
Uniformly convergent novel finite difference methods for singularly perturbed reaction-diffusion equations. (English) Zbl 1431.65198
A weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous source term. (English) Zbl 1449.65161
A mixed \(hp\) FEM for the approximation of fourth-order singularly perturbed problems on smooth domains. (English) Zbl 1462.65182
Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. (English) Zbl 1416.65464
Boundary layers for the subcritical modes of the 3D primitive equations in a cube. (English) Zbl 1483.35162
MSC:
35Q35
A two-dimensional “flea on the elephant” phenomenon and its numerical visualization. (English) Zbl 1408.35110
A parameter uniform numerical method for a nonlinear elliptic reaction-diffusion problem. (English) Zbl 1407.65246
An \(hp\) finite element method for a 4th order singularly perturbed boundary value problem in two dimensions. (English) Zbl 1397.65257
Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain. (English) Zbl 1368.35023
Boundary layer analysis of nonlinear reaction-diffusion equations in a polygonal domain. (English) Zbl 1515.35033
A robust numerical method for a control problem involving singularly perturbed equations. (English) Zbl 1362.49018
An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers. (English) Zbl 1358.65056
Boundary layers for the 3D primitive equations in a cube: the supercritical modes. (English) Zbl 1382.35306
A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem. (English) Zbl 1337.65141
Convergence and stability in balanced norms of finite element methods on Shishkin meshes for reaction-diffusion problems. (English) Zbl 1326.65163
Scaled discrete derivatives of singularly perturbed elliptic problems. (English) Zbl 1312.65171
Reviewer: Srinivasan Natesan (Assam)
Error estimates for a class of partial functional differential equation with small dissipation. (English) Zbl 1354.65167
Singularly perturbed problems with a turning point: the non-compatible case. (English) Zbl 1296.34138
Reviewer: Robert Vrabel (Trnava)
A semi-discrete tailored finite point method for a class of anisotropic diffusion problems. (English) Zbl 1416.65449
Tailored finite point method based on exponential bases for convection-diffusion-reaction equation. (English) Zbl 1262.65169
Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations. (English) Zbl 1275.49046
Reviewer: Viorel Arnăutu (Iaşi)
A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations. (English) Zbl 1253.65126
MSC:
65M06
A mixed boundary value problem for a singularly perturbed reaction-diffusion equation in an \(L\)-shaped domain. (English. Russian original) Zbl 1258.65077
Mosc. Univ. Comput. Math. Cybern. 36, No. 3, 109-119 (2012); translation from Vestn. Mosk. Univ., Ser. XV 2012, No. 3, 3-12 (2012).
Reviewer: T. C. Mohan (Dehra Dun)
A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem. (English) Zbl 1254.65119
Reviewer: Song Jiang (Beijing)
Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for singularly perturbed reaction-diffusion problems. (English) Zbl 1197.65172
Reviewer: Srinivasan Natesan (Assam)
Solution of the Dirichlet problem for a singularly perturbed reaction-diffusion equation in a square on a Bakhvalov grid. (English. Russian original) Zbl 1201.65191
Mosc. Univ. Comput. Math. Cybern. 33, No. 4, 171-180 (2009); translation from Vestn. Mosk. Univ., Ser. XV 2009, No. 4, 7-14 (2009).
Reviewer: M. Plum (Karlsruhe)
Superconvergence analysis of a finite element method for a two-parameter singularly perturbed problem. (English) Zbl 1182.65164
Uniform mesh approximation to nonsmooth solutions of a singularly perturbed convection-diffusion equation in a rectangle. (English. Russian original) Zbl 1176.65119
Differ. Equ. 45, No. 7, 973-982 (2009); translation from Differ. Uravn. 45, No. 7, 954-964 (2009).
Local projection methods on layer-adapted meshes for higher order discretisations of convection-diffusion problems. (English) Zbl 1188.65154
Reviewer: Kai Schneider (Marseille)
A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions. (English) Zbl 1198.65209
Uniform convergence of finite-difference schemes for reaction-diffusion interface problems. (English) Zbl 1229.65190
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 6th international conference, LSSC 2007, Sozopol, Bulgaria, June 5–9, 2007. Revised papers. Berlin: Springer (ISBN 978-3-540-78825-6/pbk). Lecture Notes in Computer Science 4818, 654-660 (2008).
Parameter uniform numerical methods for singularly perturbed elliptic problems with parabolic boundary layers. (English) Zbl 1155.65086
Reviewer: Srinivasan Natesan (Assam)
Convergence and superconvergence analysis of finite element methods on graded meshes for singularly and semisingularly perturbed reaction-diffusion problems. (English) Zbl 1155.65093
Reviewer: Ziwen Jiang (Shandong)
Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for semisingularly perturbed reaction-diffusion problems. (English) Zbl 1155.65092
Reviewer: Ana M. Alonso Rodriguez (Povo)
Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point. (English) Zbl 1144.81363
Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem. (English) Zbl 1201.35094
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. (English) Zbl 1125.65079
Reviewer: Othmar Koch (Baden)
An elliptic singularly perturbed problem with two parameters. I: Solution decomposition. (English) Zbl 1151.35338
A technique to prove parameter-uniform convergence for a singularly perturbed convection-diffusion equation. (English) Zbl 1117.65145
Some simple boundary value problems with corner singularities and boundary layers. (English) Zbl 1136.35344
On the accuracy of grid approximations to nonsmooth solutions of a singularly perturbed reaction-diffusion equation in the square. (English. Russian original) Zbl 1126.65095
Differ. Equ. 42, No. 7, 954-966 (2006); translation from Differ. Uravn. 42, No. 7, 895-906 (2006).
An equilibrated residual method with a computable error approximation for a singularly perturbed reaction-diffusion problem on anisotropic finite element meshes. (English) Zbl 1120.65118
Reviewer: Adrian Carabineanu (Bucureşti)
Numerical solution of a two-dimensional singularly perturbed reaction-diffusion problem with discontinuous coefficients. (English) Zbl 1113.65106
Reviewer: Georg Hebermehl (Berlin)
Superconvergence on a hybrid mesh for singularly perturbed problems with exponential layers. (English) Zbl 1097.65107
A compact finite difference scheme for 2D reaction-diffusion singularly perturbed problems. (English) Zbl 1092.65090
Reviewer: Prabhat Kumar Mahanti (Saint John)
Anisotropic meshes and streamline-diffusion stabilization for convection-diffusion problems. (English) Zbl 1081.65111
Nitsche type mortaring for singularly perturbed reaction-diffusion problems. (English) Zbl 1086.65110
Reviewer: I. N. Katz (St. Louis)
A parameter robust numerical method for a two dimensional reaction-diffusion problem. (English) Zbl 1086.65101
Reviewer: Georg Hebermehl (Berlin)
Error estimates on anisotropic \({\mathcal Q}_1\) elements for functions in weighted Sobolev spaces. (English) Zbl 1078.65094
Reviewer: Emil Minchev (Tokyo)
Corner singularities and boundary layers in a simple convection-diffusion problem. (English) Zbl 1159.35309
Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem. (English) Zbl 1049.65119
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems. (English) Zbl 1019.65091
Reviewer: Pavol Chocholatý (Bratislava)
Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems. (English) Zbl 1002.65116
Reviewer: Z.Dżygadło (Warszawa)
Optimal convergence of basic schemes for elliptic boundary value problems with strong parabolic layers. (English) Zbl 1051.65109
Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem. (English) Zbl 1200.35046
The \(p\) and \(hp\) finite element method for problems on thin domains. (English) Zbl 0974.65102
Reviewer: Plamen Yordanov Yalamov (Russe)
Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems. (English) Zbl 0976.65094
Reviewer: Isaac Yevzerov (Kyïv)
A note on \(p/hp\) finite element methods for reaction-diffusion problems in polygonal domains. (English) Zbl 0958.65101
Reviewer: Michael Sever (Jerusalem)
Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements. (English) Zbl 0946.65113
Reviewer: Thomas Sonar (Braunschweig)
An arbitrary order uniformly convergent finite element method for singular perturbation problems. (English) Zbl 0934.65123
Reviewer: Thomas Sonar (Braunschweig)
An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem. (English) Zbl 0939.65116
Reviewer: Z.Dżygadło (Warszawa)
The \(hp\) finite element method for singularly perturbed problems in nonsmooth domains. (English) Zbl 0930.65126
Reviewer: Thomas Sonar (Braunschweig)
The \(hp\) finite element method for problems in mechanics with boundary layers. (English) Zbl 0959.74073
Stabilized Galerkin methods and layer-adapted grids for elliptic problems. (English) Zbl 0951.65118
Reviewer: P.Neittaanmäki (Jyväskylä)
Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem. (English) Zbl 0933.65136
Reviewer: A.L.Pletea (Iaşi)
Avoiding slave points in an adaptive refinement procedure for convection-diffusion problems in 2D. (English) Zbl 0921.65072
Reviewer: S.K.Rangarajan (Bangalore)
Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type. (English) Zbl 0907.65109
Comput. Math. Appl. 35, No. 3, 57-70 (1998); corrigendum ibid. 59, No. 10, 3374-3376 (2010).
Reviewer: P.Chocholatý (Bratislava)
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