Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems
type: Item
instance of: scholarly article
title: Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems
zbMATH Open document ID: 1456.65100
author: Jan Nordström
author: Philipp Öffner
author: Svetlana Tokareva
author: R. Abgrall
published in: Journal of Scientific Computing
publication date: 2021-01-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1912.08108
review text: This article discusses the stabilization for finite element method. The approach relies on the use of weakly boundary conditions and specific boundary operators are constructed such that they guarantee stability. No internal dissipation is needed even if unstructured grids are used. Numerical experiments are included to support the theoretical findings.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7299268
zbMATH Keywords: continuous Galerkin
zbMATH Keywords: stability
zbMATH Keywords: simultaneous approximation terms
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: hyperbolic conservation laws
Wikidata QID: Q102054124
describes a project that uses: PETSc
MaRDI profile type: Publication
OpenAlex ID: W2996615006
arXiv ID: 1912.08108
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DOI: 10.1007/S10915-020-01349-Z
description: scientific article