Grid adjustment for parabolic systems based on a posteriori error estimates

DOI10.1016/0377-0427(95)00063-1zbMath0939.65107OpenAlexW1991663513MaRDI QIDQ1917872

Karel Segeth

Publication date: 10 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00063-1

zbMATH Keywords

error estimatesparabolic systemsmethod of linesnumerical experimentgrid adjustment

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

Error estimates and adaptive finite element methods

Uses Software

• DASSL

Cites Work

• The finite element method for parabolic equations. II. A posteriori error estimation and adaptive approach
• A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems
• A posteriori error estimates for parabolic differential systems solved by the finite element method of lines
• A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
• A‐posteriori error estimates for the finite element method

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