An \(h\)-adaptive SUPG-FEM solution of the pure advection equation
type: Item
instance of: scholarly article
title: An \(h\)-adaptive SUPG-FEM solution of the pure advection equation
zbMATH Open document ID: 0895.65044
DOI: 10.1016/S0168-9274(97)00087-1
author: Asif S. Usmani
published in: Applied Numerical Mathematics
publication date: 1998-09-27T00:00:00Z
review text: A standard \(h\)-adaptive finite element procedure based on a posteriori error estimation is described. The first-order wave equation (pure advection) is solved using the SUPG form of the finite element method (FEM). A benchmark problem is solved which has a uniform flow advecting a function with a boundary discontinuity. The \(h\)-adaptive procedure is used in combination with the SUPG formulation and after a number of adaptive cycles produces a high quality solution.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 1115965
zbMATH Keywords: pure advection equation
zbMATH Keywords: streamline upwind Petrov Galerkin method
zbMATH Keywords: \(h\)-version
zbMATH Keywords: error estimation
zbMATH Keywords: wave equation
zbMATH Keywords: finite element method
reviewed by: Pavel Burda
MaRDI profile type: Publication
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full work available at URL: s0168-9274(97)00087-1
OpenAlex ID: W2078646521
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description: scientific article; zbMATH DE number 1115965