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Adaptive local grid refinement algorithms for finite‐element collocation
Author(s) -
Allen Myron B.,
Curran Mark C.
Publication year - 1989
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.1690050206
Subject(s) - collocation (remote sensing) , finite element method , grid , advection , algorithm , adaptive mesh refinement , regular grid , mathematics , computer science , element (criminal law) , computational science , mathematical optimization , geometry , structural engineering , physics , machine learning , law , political science , thermodynamics , engineering
An adaptive grid refinement procedure allows accurate solutions to advection‐dominated, time‐dependent flows using finite‐element collocation. The technique relies on a data structure that is readily amenable to parallel computing. The paper discusses computational aspects of the method.