Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations

Abstract : This paper is concerned with global-in-time, nonoverlapping domain decomposition methods for the mixed formulation of the diffusion problem. Two approaches are considered: one uses the time-dependent Steklov-Poincaré operator and the other uses Optimized Schwarz Waveform Relaxation (OSWR) based on Robin transmission conditions. For each method, a mixed formulation of an interface problem on the space-time interfaces between subdomains is derived, and different time grids are employed to adapt to different time scales in the subdomains. Demonstrations of the well-posedness of the subdomain problems involved in each method and a convergence proof of the OSWR algorithm are given for the mixed formulation. Numerical results for 2D problems with strong heterogeneities are presented to illustrate the performance of the two methods.
Document type :
Journal articles
Complete list of metadatas

Cited literature [33 references]  Display  Hide  Download

https://hal.inria.fr/hal-00803796
Contributor : Thi Thao Phuong Hoang <>
Submitted on : Sunday, March 24, 2013 - 2:49:39 PM
Last modification on : Friday, April 19, 2019 - 3:24:31 PM
Long-term archiving on : Tuesday, June 25, 2013 - 2:40:09 AM

Files

RR-8271.pdf
Files produced by the author(s)

Identifiers

Citation

Thi Thao Phuong Hoang, Jérôme Jaffré, Caroline Japhet, Michel Kern, Jean Roberts. Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2013, 51 (6), pp.3532-3559. ⟨10.1137/130914401⟩. ⟨hal-00803796⟩

Share

Metrics

Record views

860

Files downloads

453