A Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion Problem (Q5113125)

scientific article; zbMATH DE number 7210676

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English	A Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion Problem	scientific article; zbMATH DE number 7210676

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instance of

scholarly article

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title

A Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion Problem (English)

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SIAM Journal on Numerical Analysis

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publication date

10 June 2020

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zbMATH Keywords

singularly perturbed

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mixed finite element

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describes a project that uses

DistMesh

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MaRDI profile type

MaRDI publication profile

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cites work

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A parameter robust numerical method for a two dimensional reaction-diffusion problem

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Localized pointwise error estimates for mixed finite element methods

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Finite Element Methods for Navier-Stokes Equations

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A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems

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Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces

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Simple efficient solvers for certain ill-conditioned systems of linear equations, including $H(\operatorname{div})$ problems

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Sharp $L_2$-Norm Error Estimates for First-Order div Least-Squares Methods

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Supercloseness of the mixed finite element method for the primary function on unstructured meshes and its applications

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A hybrid two-step finite element method for flux approximation:<i>a priori</i>estimates

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Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems

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Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type

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Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids

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Discontinuous Discretization for Least-Squares Formulation of Singularly Perturbed Reaction-Diffusion Problems in One and Two Dimensions

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A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems

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Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems

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A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions

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An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method

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A Simple Mesh Generator in MATLAB

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Q4136469

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Robust Numerical Methods for Singularly Perturbed Differential Equations

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Convergence and stability in balanced norms of finite element methods on Shishkin meshes for reaction‐diffusion problems

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On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions

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Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates

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Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

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Difference Methods for Singular Perturbation Problems

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Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation

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Q4127946

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Superconvergence in Galerkin finite element methods

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full work available at URL

https://doi.org/10.1137/19m1264229

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Identifiers

zbMATH Open document ID

1440.65188

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DOI

10.1137/19M1264229

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5113125