A large time‐step implicit moving mesh scheme for moving boundary problems

DOI10.1002/num.21812zbMath1282.65097OpenAlexW2163515838MaRDI QIDQ2874180

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Publication date: 29 January 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21812

zbMATH Keywords

heat equationnumerical examplesmoving mesh methodmaximum/minimum principlesemi-implicit time-stepping scheme

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (2)

A shift‐adaptive meshfree method for solving a class of initial‐boundary value problems with moving boundaries in one‐dimensional domain ⋮ A finite difference moving mesh method based on conservation for moving boundary problems

Cites Work

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• Finite element approximation of a sixth order nonlinear degenerate parabolic equation
• A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries
• High-Order Nonlinear Diffusion
• Adaptivity with moving grids
• Waiting-Time Behavior in a Nonlinear Diffusion Equation
• Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations
• Numerical Solution of Partial Differential Equations
• A Moving Mesh Method Based on the Geometric Conservation Law
• Balanced Monitoring of Flow Phenomena in Moving Mesh Methods

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