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    ARTICLE

    Fictitious Domain Approach for Spectral/hp Element Method

    L. Parussini 1

    CMES-Computer Modeling in Engineering & Sciences, Vol.17, No.2, pp. 95-114, 2007, DOI:10.3970/cmes.2007.017.095

    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. More >

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