Premium
Recovery of the optimal mesh density function and near‐optimal meshes with rectangular elements in the mapped domain
Author(s) -
Hugger Jens
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.1690110506
Subject(s) - polygon mesh , finite element method , representation (politics) , domain (mathematical analysis) , mathematics , simple (philosophy) , algorithm , mathematical optimization , function (biology) , volume mesh , mesh generation , geometry , mathematical analysis , structural engineering , evolutionary biology , biology , philosophy , epistemology , politics , political science , law , engineering
A method is developed for the recovery and representation of near‐optimal finite‐element meshes of rectangular elements in the mapped domain. The method extends a previously known method, which was restricted to square elements in the mapped domain. The method was developed to obtain a simple, cost‐effective representation of computational meshes for adaptive finite‐element methods solving parametrized problems. © 1995 John Wiley & Sons, Inc.