Name
Title | ||
|---|---|---|
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-Poincare 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 Robin subdomain problems involved in the OSWR method and a convergence proof of the OSWR algorithm are given for the mixed formulation. Numerical results for two-dimensional problems with strong heterogeneities are presented to illustrate the performance of the two methods. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/130914401 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
mixed formulations,space-time domain decomposition,diffusion problem,time-dependent Steklov-Poincare operator,optimized Schwarz waveform relaxation,nonconforming time grids | Convergence (routing),Space time,Mathematical optimization,Mathematical analysis,Waveform,Operator (computer programming),Schwarz alternating method,Domain decomposition methods,Mathematics | Journal |
Volume | Issue | ISSN |
51 | 6 | 0036-1429 |
Citations | PageRank | References |
9 | 0.63 | 9 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thao-Phuong Hoang | 1 | 12 | 2.10 |
| Jérôme Jaffré | 2 | 67 | 9.52 |
| Caroline Japhet | 3 | 38 | 6.64 |
| Michel Kern | 4 | 19 | 2.67 |
| Jean E. Roberts | 5 | 57 | 7.97 |