A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries-Reference-Cited by-同舟云学术

A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries

Published:2005-08 Issue:3-4 Volume:54 Page:450-469
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Baines M.J.,Hubbard M.E.,Jimack P.K.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference26 articles.

1. Variational algorithms and pattern formation in dendritic solidification;Almgren;J. Comput. Phys.,1993

2. Moving Finite Elements;Baines,1994

3. Algorithms for optimal discontinuous piecewise linear and constant L2 fits to continuous functions with adjustable nodes in one and two dimensions;Baines;Math. Comp.,1994

4. A moving mesh finite element method for the solution of two-dimensional Stefan problems;Beckett;J. Comput. Phys.,2001

5. Numerical solution of a diffusion consumption problem with a free boundary;Berger;SIAM J. Numer. Anal.,1975

Cited by 54 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Two Finite Element Approaches for the Porous Medium Equation That Are Positivity Preserving and Energy Stable;Journal of Scientific Computing;2024-08-06

2. A velocity-based moving mesh virtual element method;Computers & Mathematics with Applications;2024-02

3. A High-Order Arbitrary Lagrangian-Eulerian Virtual Element Method for Convection-Diffusion Problems;2024

4. A Moving Mesh Method for Porous Medium Equation by the Onsager Variational Principle;2024

5. Solving heat conduction problems in the start-up stage of direct chill casting processes via a temperature-enthalpy mixed formulation based on the improved element-free Galerkin method;International Journal of Heat and Mass Transfer;2023-09