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An efficient two-level preconditioner based on lifting for FEM-BEM equations

Fabio Henrique Pereira et al · Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo

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Author / responsible party
Fabio Henrique Pereira et al
Publisher
Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo
ISSN
2179-1074
ISSN
2179-1074
Language
English

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The system resulting from the coupled Finite Element Method and Boundary Element Method formulations inherits all characteristics of both finite element and boundary element equation system, i. e., the system is partially sparse and symmetric and partially full and nonsymmetric. Consequently, to solve the resulting coupled equation system is not a trivial task. This paper proposes a new efficient lifting-based two level preconditioner for the coupled global system. The proposed approach is applied to solve the coupled systems resulting from the electromagnetic scattering problem and its performance is evaluated based on the number of iterations and the computational time. Traditional methods based on incomplete and complete LU decompositions are used for comparison.

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APA 7

al, F. H. P. E. (s. f.). An efficient two-level preconditioner based on lifting for FEM-BEM equations. https://doi.org/10.1590/S2179-10742010000200002

MLA

al, Fabio Henrique Pereira et. "An efficient two-level preconditioner based on lifting for FEM-BEM equations.". https://doi.org/10.1590/S2179-10742010000200002.

Chicago

al, Fabio Henrique Pereira et. s. f. "An efficient two-level preconditioner based on lifting for FEM-BEM equations.". https://doi.org/10.1590/S2179-10742010000200002.

Harvard

al, F. H. P. E. s. f, An efficient two-level preconditioner based on lifting for FEM-BEM equations, Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo, available at: https://doi.org/10.1590/S2179-10742010000200002 [Accessed 9 Aug. 2026].

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Title
An efficient two-level preconditioner based on lifting for FEM-BEM equations
Author / contributors
Fabio Henrique Pereira et al
Publisher
Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo
ISSN
2179-1074
ISSN
2179-1074
Language
English

Subjects

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FEM-BEM Equations; Lifting Technique; Preconditioner
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