We are interested in solving time dependent problems using domain decomposition method. In the classical methods, one discretizes first the time dimension and then one solves a sequence of steady problems by a domain decomposition method. In this paper, we study a Schwarz Waveform Relaxation method which treats directly the time dependent problem. We propose algorithms for the viscous Shallow W...

We propose a novel network traffic matrix decomposition method named Stable Principal Component Pursuit with FrequencyDomain Regularization (SPCP-FDR), which improves the Stable Principal Component Pursuit (SPCP) method by using a frequency-domain noise regularization function. An experiment demonstrates the feasibility of this new decomposition method. key words: Traffic Matrix, Stable Princip...

The Schur complement domain decomposition method is used for solution of large linear systems. The algorithm is based on the subdivision of the domain into smaller ones and the solution of those subdomains independently. Regarding water distribution systems modeling, the hydraulic simulation could be formulated as a sequence of systems of linear equations. Therefore, this paper utilizes the dom...

Among different discretization approaches, Finite Difference Method (FDM) is widely used for acoustic and elastic full-wave form modeling. An inevitable deficit of the technique, however, is its sever requirement to computational resources. A promising solution is parallelization, where the problem is broken into several segments, and the calculations are distributed over different processors. ...

Abstract. In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the independence among the subdomains. In principle, domain decomposition methods may be applied to the...