High order unfitted finite element methods on level set domains using isoparametric mappings
DOI: 10.1016/J.CMA.2015.12.005
关键词: Piecewise 、 Mathematical optimization 、 Parametric statistics 、 Finite element method 、 Applied mathematics 、 Mixed finite element method 、 Numerical integration 、 Extended finite element method 、 Surface integral 、 Level set 、 Mathematics
摘要: Abstract We introduce a new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions. An method is suitable for the case piecewise planar interfaces combined parametric mapping underlying mesh resulting in an isoparametric method. The constructed way such that quality interface reconstruction significantly improved allowing computations (unfitted) domain surface integrals. present method, discuss implementational aspects examples demonstrate potential this
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