A posteriori error estimates for parabolic differential systems solved by the finite element method of lines

zbMath0822.65068MaRDI QIDQ1345763

Karel Segeth

Publication date: 3 April 1995

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32895

zbMATH Keywords

finite elementmethod of linesa posteriori error estimatesSchwarz inequalitysystem of parabolic equationslocal error indicator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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)

Related Items

Grid adjustment for parabolic systems based on a posteriori error estimates ⋮ A posteriori error estimates for optimal distributed control governed by the evolution equations ⋮ Seven decades of Professor Karel Segeth. ⋮ A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations

Uses Software

• DASSL
• LSODE

Cites Work

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• The finite element method for parabolic equations. I. A posteriori error estimation
• A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems
• A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
• A‐posteriori error estimates for the finite element method