Algebraic approach to domain decomposition

Algebraic Domain Decomposition Method for Unstructured Grids

A Tupleware Approach to Domain Decomposition Methods

Domain decompositionmethods are highly parallelmethods for solving elliptic partial di erential equations. In many domain decomposition variants, the domain is partitioned into a number of (possibly overlapping) subdomains before computation begins. In contrast, the domain reduction method folds the domain into a number of smaller domains covering only a small portion of the entire domain. The ...

5 . The Indirect Approach To Domain Decomposition

1. Introduction. The main objective of DDM is, when a domain Ω and one of its partitions are given, to obtain the solution of a boundary value problem defined on it (the 'global problem'), by solving problems formulated on the subdomains of the partition (the 'local problems'), exclusively. This objective can be achieved if sufficient information about the global solution is known, on the inter...

The Direct Approach to Domain Decomposition Methods

A Process Algebraic Approach to Decomposition of Communicating SysML Blocks

The block concept is a fundamental modelling construct in the Systems Modeling Language (SysML), a visual modelling language for systems engineering applications. In a top-down systems engineering approach, an abstract block is decomposed into concrete communicating sub-blocks. However, the classifier behaviour of the abstract block must be exhibited by the composition of the concrete sub-block...