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Titel:

An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to Embedded Interface Methods

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Sudhakar, Y.; Moitinho de Almeida, J.P.; Wall, W.A.
Abstract:
We present an accurate method for the numerical integration of polynomials over arbitrary polyhedra. Using the divergence theorem, the method transforms the domain integral into integrals evaluated over the facets of the polyhedra. The necessity of performing symbolic computation during such transformation is eliminated by using one dimensional Gauss quadrature rule. The facet integrals are computed with the help of quadratures available for triangles and quadrilaterals. Numerical examples, in...     »
Stichworte:
Numerical integration, polyhedra, divergence theorem, enriched partition of unity method, complex volumes, extended finite element method, embedded interface method
Dewey Dezimalklassifikation:
620 Ingenieurwissenschaften
Zeitschriftentitel:
Journal of Computational Physics
Jahr:
2014
Band / Volume:
273
Seitenangaben Beitrag:
393-415
Nachgewiesen in:
Scopus
Reviewed:
ja
Sprache:
en
Volltext / DOI:
doi:10.1016/j.jcp.2014.05.019
Status:
Verlagsversion / published
Semester:
SS 14
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