Moving mesh strategies of adaptive methods for solving nonlinear partial differential equations
type: Item
instance of: scholarly article
title: Moving mesh strategies of adaptive methods for solving nonlinear partial differential equations
zbMATH Open document ID: 1461.65235
author: Qinjiao Gao
author: Shenggang Zhang
published in: Algorithms
publication date: 2019-03-26T00:00:00Z
review text: Summary: This paper proposes moving mesh strategies for the moving mesh methods when solving the nonlinear time dependent partial differential equations (PDEs). Firstly we analyse Huang's moving mesh PDEs (MMPDEs) and observe that, after Euler discretion they could be taken as one step of the root searching iteration methods. We improve Huang's MMPDE by adding one Lagrange speed term. The proposed moving mesh PDE could draw the mesh to equidistribution quickly and stably. The numerical algorithm for the coupled system of the original PDE and the moving mesh equation is proposed and the computational experiments are given to illustrate the validity of the new method.
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M25
zbMATH DE Number: 7042395
zbMATH Keywords: numerical solution
zbMATH Keywords: moving mesh
zbMATH Keywords: adaptive method
zbMATH Keywords: nonlinear partial differential equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a9040086
OpenAlex ID: W2562688388
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DOI: 10.3390/A9040086
description: scientific article; zbMATH DE number 7042395