Improved approximations for minimum cardinality quadrangulations of finite element meshes
Author(s) -
Matthias Müller–Hannemann,
Karsten Weihe
Publication year - 1997
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-63397-9
DOI - 10.1007/3-540-63397-9_28
Subject(s) - polygon mesh , quadrilateral , computer science , time complexity , finite element method , algorithm , discrete mathematics , combinatorics , mathematics , physics , computer graphics (images) , thermodynamics
Conformal mesh refinement has gained much attention as a necessary preprocessing step forthe finite element method in the computer-aided design of machines, vehicles, and manyother technical devices. For many applications, such as torsion problems and crash simulations,it is important to have mesh refinements into quadrilaterals. In this paper, weconsider the problem of constructing a minimum-cardinality conformal mesh refinement intoquadrilaterals. However, this problem is NP--hard, which ...
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