Robust preconditioners for a new stabilized discretization of the poroelastic equations

Adler, J.H. ; Gaspar, F.J. (Universidad de Zaragoza) ; Hu, X. ; Ohm, P. ; Rodrigo, C. (Universidad de Zaragoza) ; Zikatanov, L.T.

Resumen: In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed in [C. Rodrigo, X. Hu, P. Ohm, J. Adler, F. Gaspar, and L. Zikatanov, Comput. Methods Appl. Mech. Engrg., 341 (2018), pp. 467-484]. The discretization is proved to be well-posed with respect to the physical and discretization parameters and thus provides a framework to develop preconditioners that are robust with respect to such parameters as well. We construct both norm-equivalent (diagonal) and field-of-value-equivalent (triangular) preconditioners for both the stabilized discretization and a perturbation of the stabilized discretization, which leads to a smaller overall problem after static condensation. Numerical tests for both two-and three-dimensional problems confirm the robustness of the block preconditioners with respect to the physical and discretization parameters.

Idioma: Inglés

DOI: 10.1137/19M1261250

Año: 2020

Publicado en: SIAM JOURNAL ON SCIENTIFIC COMPUTING 42, 3 (2020), B761-B791
ISSN: 1064-8275

Factor impacto JCR: 2.373 (2020)

Categ. JCR: MATHEMATICS, APPLIED rank: 50 / 265 = 0.189 (2020) - Q1 - T1

Factor impacto SCIMAGO: 1.673 - Computational Mathematics (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-R

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)