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Calcolo
Published in: Calcolo 4/2020

01-12-2020

A discontinuous Galerkin recovery scheme with stabilization for diffusion problems

Authors: Mauricio Osorio, Wilmar Imbachí

Published in: Calcolo | Issue 4/2020

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Abstract

In this work, ideas previously introduced for a discontinuous Galerkin recovery method in one dimension, that involves a penalty stabilization term, are extended to an elliptic differential equation in several dimensions and different types of boundary conditions and meshes. Using standard arguments for other existing discontinuous Galerkin methods, we show results of existence and uniqueness of the solution. Also, optimal convergence rates are proved theoretically and confirmed numerically. Likewise, the numerical experiments allow us to analyze of the effect of the stabilization parameter.
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Metadata
Title
A discontinuous Galerkin recovery scheme with stabilization for diffusion problems
Authors
Mauricio Osorio
Wilmar Imbachí
Publication date
01-12-2020
Publisher
Springer International Publishing
Published in
Calcolo / Issue 4/2020
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-020-00384-4

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