Partial differential-algebraic systems of second order with symmetric convection
type: Item
instance of: scholarly article
title: Partial differential-algebraic systems of second order with symmetric convection
zbMATH Open document ID: 1070.65087
author: Xianqiang Yang
published in: Applied Numerical Mathematics
publication date: 2005-04-21T00:00:00Z
review text: The paper deals with the approximate solutions of the partial differential algebraic equation \[ Au_t + B(t,x)\Delta u + \sum_{j=1}^d D_j(t,x) \partial _j u + E(t,x)u + F(t,x,u) u = f(t,x), \] where the convection terms are assumed to be symmetric. The author proves an estimate of the \(L^2\)-norm \(| | u-u_h| | \) in terms of the mesh parameter \(h\), where \(u_h\) is the solution of the respective semidiscretized system.
reviewed by: Emil Minchev
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 2160268
zbMATH Keywords: partial differential algebraic equations
zbMATH Keywords: finite element method
zbMATH Keywords: error bound
zbMATH Keywords: semidiscretization
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.08.016
OpenAlex ID: W2062540748
cites work: Q3890207
cites work: Symmetric hyperbolic linear differential equations
cites work: Symmetric positive linear differential equations
cites work: Q4000463
cites work: Q4692703
cites work: Finite element methods for symmetric hyperbolic equations
cites work: On quasi-linear PDAEs with convection: Applications, indices, numerical solution
DOI: 10.1016/J.APNUM.2004.08.016
description: scientific article; zbMATH DE number 2160268