Robust block preconditioners for biot’s model

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

Resumen: In this paper, we design robust and efficient block preconditioners for the two-field formulation of Biot’s consolidation model, where stabilized finite-element discretizations are used. The proposed block preconditioners are based on the well-posedness of the discrete linear systems. Block diagonal (norm-equivalent) and block triangular preconditioners are developed, and we prove that these methods are robust with respect to both physical and discretization parameters. Numerical results are presented to support the theoretical results.

Idioma: Inglés

DOI: 10.1007/978-3-319-93873-8_1

Año: 2018

Publicado en: Lecture Notes in Computational Science and Engineering 125 (2018), 3-16
ISSN: 1439-7358

Factor impacto SCIMAGO: 0.4 - Computational Mathematics (Q1) - Control and Optimization (Q1) - Modeling and Simulation (Q1) - Engineering (miscellaneous) (Q1) - Discrete Mathematics and Combinatorics (Q1)

Tipo y forma: Comunicación congreso (PostPrint)

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