Robust DPG Test Spaces and Fortin Operators—The \(\boldsymbol{H^1}\) and \({\boldsymbol{H}}\boldsymbol{(\mathrm{div})}\) Cases

DOI10.1137/23m1550360OpenAlexW4392461241MaRDI QIDQ6117400

Norbert Heuer, Thomas Führer

Publication date: 20 March 2024

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/23m1550360

zbMATH Keywords

reaction-diffusionsingularly perturbed problemsFortin operatorsDPG method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• Robust DPG Method for Convection-Dominated Diffusion Problems
• An analysis of the practical DPG method
• Analysis of Some Finite Elements for the Stokes Problem
• Mixed Finite Element Methods and Applications
• A Posteriori Error Control for DPG Methods
• A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems
• The Mathematical Theory of Finite Element Methods
• Low-Order Discontinuous Petrov--Galerkin Finite Element Methods for Linear Elasticity

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