Title
Domain decomposition methods with overlapping subdomains for time-dependent problems.
Abstract
Domain decomposition (DD) methods for solving time-dependent problems can be classified by (i) the method of domain decomposition used, (ii) the choice of decomposition operators (exchange of boundary conditions), and (iii) the splitting scheme employed. To construct homogeneous numerical algorithms, overlapping subdomain methods are preferable. Domain decomposition is associated with the corresponding additive representation of the problem operator. To solve time-dependent problems with the DD splitting, different operator-splitting schemes are used. Various variants of decomposition operators differ by distinct types of data exchanges on interfaces. They ensure the convergence of the approximate solution in various spaces of grid functions.
Year
Venue
Field
2014
CoRR
Convergence (routing),Discrete mathematics,Boundary value problem,Mathematical optimization,Homogeneous,Data type,Operator (computer programming),Approximate solution,Mathematics,Domain decomposition methods,Decomposition
DocType
Volume
Citations 
Journal
abs/1401.0798
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Petr N. Vabishchevich13727.46
Petr Zakharov200.34