A moving mesh method with variable mesh relaxation time

DOI10.1016/j.apnum.2006.11.014zbMath1135.65366arXivmath/0602376OpenAlexW2133353386MaRDI QIDQ2479420

John M. Stockie, Ali R. Soheili

Publication date: 26 March 2008

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

Full work available at URL: https://arxiv.org/abs/math/0602376

zbMATH Keywords

stabilityrelaxation timeparabolic problemsmoving mesh methodsingular problemsself-similar blow-up

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (11)

Adaptive numerical simulation of traffic flow density ⋮ Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source ⋮ Application of variational mesh generation approach for selecting centers of radial basis functions collocation method ⋮ Moving mesh method with local time step refinement for blow-up problems ⋮ Chebyshev finite spectral method with extended moving grids ⋮ Moving collocation methods for time fractional differential equations and simulation of blowup ⋮ A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources ⋮ Adaptive grid based on geometric conservation law level set method for time dependent PDE ⋮ Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method ⋮ Moving collocation method for a reaction-diffusion equation with a traveling heat source ⋮ Adaptive numerical method for Burgers-type nonlinear equations

Uses Software

• DASSL
• NKA

Cites Work

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• Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions
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• Final Time Blowup Profiles for Semilinear Parabolic Equations via Center Manifold Theory
• Stability of Moving Mesh Systems of Partial Differential Equations
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Moving Mesh Methods for Problems with Blow-Up

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