Pàgina inicial del RECERCAT
>
Universitat Politècnica de Catalunya
>
Documents de recerca
>
Visualitza document
Per accedir als documents amb el text complet, si us plau, seguiu el següent enllaç: http://hdl.handle.net/2117/132678
| dc.contributor | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
|---|---|
| dc.contributor | Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica |
| dc.contributor.author | Badia, Santiago |
| dc.contributor.author | Martín Huertas, Alberto Francisco |
| dc.contributor.author | Olm Serra, Marc |
| dc.date | 2019-09 |
| dc.identifier.citation | Badia, S.; Martín, A. F.; Olm, M. Scalable solvers for complex electromagnetics problems. "Finite elements in analysis and design", Setembre 2019, vol. 161, p. 16-31. |
| dc.identifier.citation | 0168-874X |
| dc.identifier.citation | https://arxiv.org/abs/1901.08783 |
| dc.identifier.citation | 10.1016/j.finel.2019.04.003 |
| dc.identifier.uri | http://hdl.handle.net/2117/132678 |
| dc.description.abstract | In this work, we present scalable balancing domain decomposition by constraints methods for linear systems arising from arbitrary order edge finite element discretizations of multi-material and heterogeneous 3D problems. In order to enforce the continuity across subdomains of the method, we use a partition of the interface objects (edges and faces) into sub-objects determined by the variation of the physical coefficients of the problem. For multi-material problems, a constant coefficient condition is enough to define this sub-partition of the objects. For arbitrarily heterogeneous problems, a relaxed version of the method is defined, where we only require that the maximal contrast of the physical coefficient in each object is smaller than a predefined threshold. Besides, the addition of perturbation terms to the preconditioner is empirically shown to be effective in order to deal with the case where the two coefficients of the model problem jump simultaneously across the interface. The new method, in contrast to existing approaches for problems in curl-conforming spaces does not require spectral information whilst providing robustness with regard to coefficient jumps and heterogeneous materials. A detailed set of numerical experiments, which includes the application of the preconditioner to 3D realistic cases, shows excellent weak scalability properties of the implementation of the proposed algorithms. |
| dc.description.abstract | Peer Reviewed |
| dc.language.iso | eng |
| dc.relation | https://www.sciencedirect.com/science/article/pii/S0168874X19300496 |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights | info:eu-repo/semantics/openAccess |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Física::Electromagnetisme |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| dc.subject | Electromagnetism--Mathematical models |
| dc.subject | Finite element method Maxwell equations Domain decomposition Electromagnetics Solvers |
| dc.subject | Electromagnetisme -- Models matemàtics |
| dc.title | Scalable solvers for complex electromagnetics problems |
| dc.type | info:eu-repo/semantics/submittedVersion |
| dc.type | info:eu-repo/semantics/article |
Documents relacionats
Altres documents del mateix autor/a
Olm Serra, Marc; Badia, Santiago; Martín Huertas, Alberto Francisco
Olm Serra, Marc; Badia, Santiago; Martín Huertas, Alberto Francisco
Badia, Santiago; Olm Serra, Marc
Badia, Santiago; Olm Serra, Marc
Badia, Santiago; Verdugo Rojano, Francesc; Martín Huertas, Alberto Francisco