publication . Preprint . Article . 2006

A moving mesh method with variable relaxation time

Ali Reza Soheili; John M. Stockie;
Open Access English
  • Published: 17 Feb 2006
Abstract
We propose a moving mesh adaptive approach for solving time-dependent partial differential equations. The motion of spatial grid points is governed by a moving mesh PDE (MMPDE) in which a mesh relaxation time \tau is employed as a regularization parameter. Previously reported results on MMPDEs have invariably employed a constant value of the parameter \tau. We extend this standard approach by incorporating a variable relaxation time that is calculated adaptively alongside the solution in order to regularize the mesh appropriately throughout a computation. We focus on singular problems involving self-similar blow-up to demonstrate the advantages of using a variab...
Subjects
free text keywords: Mathematics - Numerical Analysis, 65M50, 65M06, 35K57, Applied Mathematics, Numerical Analysis, Computational Mathematics, Boundary value problem, Differential equation, Relaxation (iterative method), Numerical stability, Parabola, Partial differential equation, Mathematical optimization, Mathematical analysis, Mathematics, Initial value problem
Related Organizations
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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publication . Preprint . Article . 2006

A moving mesh method with variable relaxation time

Ali Reza Soheili; John M. Stockie;