A comparison of the string gradient weighted moving finite element method and a parabolic moving mesh partial differential equation method for solutions of partial differential equations

DOI10.2478/s11533-012-0161-0zbMath1263.65097OpenAlexW2039743909WikidataQ115227856 ScholiaQ115227856MaRDI QIDQ1945353

Abigail Wacher

Publication date: 8 April 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/529

zbMATH Keywords

numerical experimentserror boundsmoving mesh partial differential equationsporous medium equationviscous Burgers' equationmoving meshestravelling wave solutionBarenblatt selfsimilar analytical solutionwaiting-time solutionsweighted moving finite elements

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Moving boundary problems for PDEs (35R37)

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Uses Software

• NKA

Cites Work

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