A two-dimensional mesh moving technique for time-dependent partial differential equations

DOI10.1016/0021-9991(86)90118-XzbMath0614.65128MaRDI QIDQ1819912

Joseph E. Flaherty, David C. Arney

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

robustnessefficiencyaccuracymoving meshmesh refinement

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

A moving-mesh finite element method with local refinement for parabolic partial differential equations ⋮ An adaptive local mesh refinement method for time-dependent partial differential equations ⋮ Space-time discontinuous finite element approximations for multi- dimensional nonlinear hyperbolic systems ⋮ Parallel computation with adaptive methods for elliptic and hyperbolic systems ⋮ A posteriori error estimation

Cites Work

• The finite element method for parabolic equations. I. A posteriori error estimation
• The finite element method for parabolic equations. II. A posteriori error estimation and adaptive approach
• Conservative rezoning (remapping) for general quadrilateral meshes
• Adaptive mesh refinement for hyperbolic partial differential equations
• An adaptive grid finite difference method for conservation laws
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• The numerical simulation of two-dimensional fluid flow with strong shocks
• Grid evolution in time asymptotic problems
• The moving finite element method: Applications to general partial differential equations with multiple large gradients
• Adaptive zoning for singular problems in two dimensions
• Elliptic grid generation
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• Moving Finite Elements. I
• Moving Finite Elements. II
• One-Sided Difference Approximations for Nonlinear Conservation Laws
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