High-accuracy discretization algorithms for problems with discontinuous solutions
type: Item
instance of: scholarly article
title: High-accuracy discretization algorithms for problems with discontinuous solutions
zbMATH Open document ID: 0947.74070
DOI: 10.1007/BF02666994
author: V. S. Deineka
author: I. V. Sergienko
author: V. V. Skopetsky
published in: Cybernetics and Systems Analysis
publication date: 1999-09-15T00:00:00Z
review text: The authors consider boundary value and initial-boundary value problems for quasilinear elliptic, nonlinear parabolic and linear hyperbolic equations with discontinuous solutions, and use the finite element method to construct approximate convergent solutions. The results are applied to a static plane linear elasticity problem with a prescribed pressure on a cut, to a dynamic problem for an orthotropic elastic body of revolution, and to an eigenvalue problem with discontinuous eigenfunctions.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H10
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 1287594
zbMATH Keywords: boundary value problems
zbMATH Keywords: quasilinear elliptic equations
zbMATH Keywords: nonlinear parabolic equations
zbMATH Keywords: prescribed pressure on cut
zbMATH Keywords: initial-boundary value problems
zbMATH Keywords: linear hyperbolic equations
zbMATH Keywords: discontinuous solutions
zbMATH Keywords: finite element method
zbMATH Keywords: approximate convergent solutions
zbMATH Keywords: static plane linear elasticity problem
zbMATH Keywords: orthotropic elastic body of revolution
zbMATH Keywords: discontinuous eigenfunctions
MaRDI profile type: Publication
cites work: Galerkin Methods for Parabolic Equations
cites work: Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
cites work: Mathematical models and methods for numerical problems with discontinuous solutions.
cites work: Control of the temperature state in layered bodies of revolution
cites work: On the finite element method
full work available at URL: https://doi.org/10.1007/bf02666994
OpenAlex ID: W1998863084
description: scientific article; zbMATH DE number 1287594