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math.NA2016
Numerical integration over implicitly defined domains for higher order unfitted finite element methods
Maxim Olshanskii, Danil Safin
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…
math.NA2014★ 2 cited
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces
Maxim A. Olshanskii, Danil Safin
The paper studies a method for solving elliptic partial differential equations posed on hypersurfaces in , . The method allows a surface to be given implicitly…