A moving finite element method for the solution of two-dimensional time-dependent models

DOI10.1016/S0168-9274(02)00172-1zbMath1013.65107OpenAlexW1978856875MaRDI QIDQ1861955

Carlos Sereno, Maria do Carmo Coimbra, Alirio E. Rodrigues

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00172-1

zbMATH Keywords

evolution equationnumerical experimentsmesh generationmoving gridsmoving finite element2D time-dependent problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Uses Software

• LSODE
• NKA

Cites Work

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• Moving finite element methods for evolutionary problems. II: Applications
• \(r\)-refinement for evolutionary PDEs with finite elements or finite differences
• Grid adaptation via node movement
• Modelling multicomponent adsorption process by a moving finite element method
• Moving Finite Elements. I
• Moving Finite Elements. II
• Continuously deforming finite elements
• A new moving finite element method based on quadratic approximation functions
• Temporal Derivatives in the Finite-Element Method on Continuously Deforming Grids
• Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
• A Best Approximation Property of the Moving Finite Element Method

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