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Distributed Lagrange Multiplier Functions for Fictitious Domain Method with Spectral/hp Element Discretization

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Abstract

A fictitious domain approach for the solution of second-order linear differential problems is proposed; spectral/hp elements have been used for the discretization of the domain. The peculiarity of our approach is that the Lagrange multipliers are particular distributed functions, instead of classical \(\delta \) Dirac (impulsive) multipliers. In this paper we present the formulation and the application of this approach to 1D and 2D Poisson problems and 2D Stokes flow (biharmonic equation).

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  1. Engineering and Architecture Department, University of Trieste, Via A. Valerio 10, 34127, Trieste, Italy

    Riccardo Zamolo, Lucia Parussini & Valentino Pediroda

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  1. Riccardo Zamolo
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  2. Lucia Parussini
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  3. Valentino Pediroda
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Correspondence to Riccardo Zamolo.

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Zamolo, R., Parussini, L. & Pediroda, V. Distributed Lagrange Multiplier Functions for Fictitious Domain Method with Spectral/hp Element Discretization. J Sci Comput 74, 805–825 (2018). https://doi.org/10.1007/s10915-017-0464-1

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  • DOI: https://doi.org/10.1007/s10915-017-0464-1

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