Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions
type: Item
instance of: scholarly article
title: Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions
zbMATH Open document ID: 1447.65090
author: Andreas Rupp
author: Sanghyun Lee
published in: Journal of Scientific Computing
publication date: 2020-07-13T00:00:00Z
review text: A new version of the enriched Galerkin (EG) method for elliptic and parabolic equations is presented and analyzed, which is capable of dealing with a jump condition along submanifolds. The jump condition is known as Henry's law in a stationary diffusion process. The finite element method is constructed by enriching the continuous Galerkin finite element space by not only piecewise constants but also by piecewise polynomials with an arbitrary order. Numerical experiments illustrate the method and also verify the convergence analysis.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7219842
zbMATH Keywords: enriched Galerkin method
zbMATH Keywords: continuous Galerkin
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: jump condition
zbMATH Keywords: Henry's law
zbMATH Keywords: arbitrary enrichment
MaRDI profile type: Publication
full work available at URL: s10915-020-01255-4
OpenAlex ID: W3036336759
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DOI: 10.1007/S10915-020-01255-4
description: scientific article; zbMATH DE number 7219842