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Fictitious Domain Approach for Spectral/hp Element Method

L. Parussini 1

1 University of Trieste, Mech. Eng. Dept., ITALY

Computer Modeling in Engineering & Sciences 2007, 17(2), 95-114.


We propose a fictitious domain method combined with spectral/hp elements for the solution of second-order differential problems. This paper presents the formulation, validation and application of fictitiuos domain-spectral/hp element algorithm to one- and two-dimensional Poisson problems. Fictitious domain methods allow problems formulated on an intricate domain Ω to be solved on a simpler domain Π containing Ω. The Poisson equation, extended to the new domain Π, is expressed as an equivalent set of first-order equations by introducing the gradient as an additional indipendent variable, and spectral/hp element method is used to develop the discrete model. Convergence of relative energy norm η is verified computing smooth solutions to one- and two-dimensional Poisson equations. Thermal field calculations for heatsink profile is presented to demonstrate the predictive capability of the proposed formulation.


Cite This Article

Parussini, L. (2007). Fictitious Domain Approach for Spectral/hp Element Method. CMES-Computer Modeling in Engineering & Sciences, 17(2), 95–114.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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