The ability of the extended and generalized finite element methods of modeling discontinuities independent of mesh alignment requires a suitable representation for the discontinuity surfaces. In the present paper a method for constructing level set functions based on vector data and geometric operations in three dimensions is presented. In contrast to classical level set methods, the proposed approach does not require the integration of differential evolution equations, resulting in a particularly simple structure and easy implementation.

A new method for the representation and evolution of three dimensional discontinuity surfaces in XFEM/GFEM / Ventura, Giulio. - ELETTRONICO. - (2011), pp. 1-10. (Intervento presentato al convegno XX Congresso dell'Associazione Italiana di Meccanica Teorica e Applicata tenutosi a Bologna (IT) nel Sept. 12-15, 2011).

A new method for the representation and evolution of three dimensional discontinuity surfaces in XFEM/GFEM

VENTURA, Giulio
2011

Abstract

The ability of the extended and generalized finite element methods of modeling discontinuities independent of mesh alignment requires a suitable representation for the discontinuity surfaces. In the present paper a method for constructing level set functions based on vector data and geometric operations in three dimensions is presented. In contrast to classical level set methods, the proposed approach does not require the integration of differential evolution equations, resulting in a particularly simple structure and easy implementation.
2011
9788890634017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2503524
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