A finite element-based fictitious domain decomposition method for the fast solution of partially axisymmetric sound-hard acoustic scattering problems

Authors:
Ulrich Hetmaniuk;Charbel Farhat
Affiliations:
Department of Aerospace Engineering Sciences, Center for Aerospace Structures, University of Colorado at Boulder, Campus Box 429, Boulder, CO;Department of Aerospace Engineering Sciences, Center for Aerospace Structures, University of Colorado at Boulder, Campus Box 429, Boulder, CO
Venue:
Finite Elements in Analysis and Design - Special issue: 14th Robert J. Melosh competition
Year:
2003

Citing 4
Cited 0

On finite element domain imbedding methods

SIAM Journal on Numerical Analysis
Mixed and hybrid finite element methods

Mixed and hybrid finite element methods
Ficitious domain methods for the numerical solution of two-dimensional scattering problems

Journal of Computational Physics
Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems

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Abstract

We blend a fictitious domain decomposition method and the FETI-H substructuring algorithm to construct a fast finite element-based solver for exterior Helmholtz problems characterized by partially axisymmetric sound-hard scatterers. A key component of our method is an original idea for addressing a Neumann boundary condition in the general framework of a fictitious domain method. We demonstrate between one and two orders of magnitude reduction of the CPU time associated with the straightforward solution of such exterior Helmholtz problems, and highlight the added benefit of FETI-H to the proposed fictitious domain solution method.