The system of linear elasticity for compressible composite materials is discretized with Isogeometric Analysis and the resulting discrete system is solved iteratively by PCG with an Overlapping Schwarz preconditioner, requiring the solution of local elasticity problems on overlapping subdomains and the solution of a coarse elasticity problem associated with the subdomain coarse mesh. The proposed preconditioner has an optimal convergence rate bound that is scalable in the number of subdomains and is linear in the ratio between subdomain and overlap sizes. This study also shows the preconditioner robustness with respect to the presence of discontinuous elastic coefficients in composite materials and to domain deformation.

Robust isogeometric Schwarz preconditioners for composite elastic materials / L. Beirão da Veiga, D. Cho, L. F. Pavarino, S. Scacchi (LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING). - In: Domain Decomposition Methods in Science and Engineering 21 / [a cura di] J. Erhel, M.J. Gander, L. Halpern, G. Pichot, T. Sassi, O.B. Widlund. - [s.l] : Springer, 2014. - ISBN 978-3-319-05789-7. - pp. 341-350 [10.1007/978-3-319-05789-7__31]

Robust isogeometric Schwarz preconditioners for composite elastic materials

L. Beirão da Veiga
Primo
;
L.F. Pavarino
Penultimo
;
S. Scacchi
Ultimo
2014

Abstract

The system of linear elasticity for compressible composite materials is discretized with Isogeometric Analysis and the resulting discrete system is solved iteratively by PCG with an Overlapping Schwarz preconditioner, requiring the solution of local elasticity problems on overlapping subdomains and the solution of a coarse elasticity problem associated with the subdomain coarse mesh. The proposed preconditioner has an optimal convergence rate bound that is scalable in the number of subdomains and is linear in the ratio between subdomain and overlap sizes. This study also shows the preconditioner robustness with respect to the presence of discontinuous elastic coefficients in composite materials and to domain deformation.
Settore MAT/08 - Analisi Numerica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/249376
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