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A moving grid finite‐element method using grid deformation
Author(s) -
Semper Bill,
Liao Guojun
Publication year - 1995
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690110606
Subject(s) - grid , finite element method , deformation (meteorology) , galerkin method , mathematics , work (physics) , convection , front (military) , tracking (education) , petrov–galerkin method , geometry , mechanics , structural engineering , meteorology , mechanical engineering , engineering , physics , psychology , pedagogy
A new front tracking method based on grid deformation is combined with a streamline upwind Petrov–Galerkin finite element method to produce an adaptive method for application to convection‐dominated transport equations. In this work, we examine the practicality of this approach and demonstrate the method on one‐dimensional examples. © 1995 John Wiley & Sons, Inc.