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A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems - MaRDI portal

A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems (Q5347538)

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scientific article; zbMATH DE number 6722955

Language	Label	Description	Also known as
English	A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems	scientific article; zbMATH DE number 6722955

Statements

scholarly article

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A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems (English)

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Michael Karkulik

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SIAM Journal on Numerical Analysis

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publication date

24 May 2017

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full work available at URL

https://arxiv.org/abs/1509.07560

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zbMATH Keywords

reaction-dominated diffusion

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singularly perturbed problem

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boundary layers

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discontinuous Petrov-Galerkin method

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MaRDI profile type

MaRDI publication profile

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Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem

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Local mesh refinement in 2 and 3 dimensions

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A robust Petrov-Galerkin discretisation of convection-diffusion equations

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A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form

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A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms

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Analysis of the DPG Method for the Poisson Equation

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A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

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A class of discontinuous Petrov-Galerkin methods. III: Adaptivity

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Robust DPG Method for Convection-Dominated Diffusion Problems

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An analysis of the practical DPG method

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

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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 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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\(hp\)-finite element methods for singular perturbations

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Robust exponential convergence of \(hp\)-FEM in balanced norms for singularly perturbed reaction-diffusion equations

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Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm

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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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Robust Numerical Methods for Singularly Perturbed Differential Equations

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Uniform approximation of singularly perturbed reaction-diffusion problems by the finite element method on a Shishkin mesh

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Identifiers

zbMATH Open document ID

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10.1137/15M1041304

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5347538

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