High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface

An extrapolative approach to integration over hypersurfaces in the level set framework

(2018) Catherine Kublik et al.   MATHEMATICS OF COMPUTATION

A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces

(2017) Lukas Drescher et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Automated Parallel and Body-Fitted Mesh Generation in Finite Element Simulation of Macromolecular Systems

(2016) Yan Xie et al.   Communications in Computational Physics

High order unfitted finite element methods on level set domains using isoparametric mappings

(2016) Christoph Lehrenfeld   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Higher-order accurate integration of implicit geometries

(2015) Thomas-Peter Fries et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles

(2015) R. I. Saye   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Highly accurate surface and volume integration on implicit domains by means of moment-fitting

(2013) B. Müller et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems

(2012) Ralf Massjung   SIAM JOURNAL ON NUMERICAL ANALYSIS

The adaptive immersed interface finite element method for elliptic and Maxwell interface problems

(2009) Zhiming Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions

(2008) Yan Gong et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS