Numerical integration over implicitly defined domains for higher order unfitted finite element methods
نویسندگان
چکیده
منابع مشابه
Numerical Integration over Implicitly Defined Domains for Higher Order Unfitted Finite Element Methods
The paper studies several approaches to numerical integration over a domain defined implicitly by an indicator function such as the level set function. The integration methods are based on subdivision, moment–fitting, local quasi-parametrization and Monte-Carlo techniques. As an application of these techniques, the paper addresses numerical solution of elliptic PDEs posed on domains and manifol...
متن کاملNumerical Analysis and Scientific Computing Preprint Seria Numerical integration over implicitly defined domains for higher order unfitted finite element methods
The paper studies several approaches to numerical integration over a domain defined implicitly by an indicator function such as the level set function. The integration methods are based on subdivision, moment–fitting, local quasi-parametrization and Monte-Carlo techniques. As an application of these techniques, the paper addresses numerical solution of elliptic PDEs posed on volumetric domains ...
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ژورنال
عنوان ژورنال: Lobachevskii Journal of Mathematics
سال: 2016
ISSN: 1995-0802,1818-9962
DOI: 10.1134/s1995080216050103