An adaptive node-moving algorithm for evolution type problems

DOI10.1016/0307-904X(92)90078-HzbMath0768.65064MaRDI QIDQ1208745

A. E. Cook, R. A. Duncan

Publication date: 16 May 1993

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

numerical resultsfinite element methodBurgers equationStefan problemadaptive finite elementsnode-moving algorithm

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35)

Related Items

Error estimates and adaptive finite element methods

Cites Work

• A node-moving algorithm with application to Burgers' equation and the Motz problem
• A Simple and Effective Self-adaptive Moving Mesh for Enthalpy Formulations of Phase Change Problems
• Moving Finite Elements. II
• On the Numerical Solution of Initial/Boundary-Value Problems in One Space Dimension
• Mesh Modification for Evolution Equations
• On a quasi-linear parabolic equation occurring in aerodynamics
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