@Article{cmes.2007.017.095,
AUTHOR = {L. Parussini},
TITLE = {Fictitious Domain Approach for Spectral/hp Element Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {17},
YEAR = {2007},
NUMBER = {2},
PAGES = {95--114},
URL = {http://www.techscience.com/CMES/v17n2/24977},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.3970/cmes.2007.017.095}
}