Domain decomposition methods applied to sedimentary basin modeling

Domain Decomposition Methods Applied to Sedimentary Basin Modeling

Domain Decomposition Method Applied to Radiation Problems

results for error analysis of finite element method We consider the following four problems: 1: (E)w: Find u ∈ V such that a(u, v) = (f, v) for all v ∈ V . 2: (Eh)w: Find uh ∈ Vh such that a(uh, vh) = (f, vh) for all vh ∈ Vh. 3: (E)w: Find u ∈ V such that a (u , v) = (f, v) for all v ∈ V . DDM APPLIED TO RADIATION PROBLEMS 389 4: (Eh )w: Find u N h ∈ Vh such that a (uh , vh) = (f, vh) for all v...

Overlapping Domain Decomposition Methods

Overlapping domain decomposition methods are efficient and flexible. It is also important that such methods are inherently suitable for parallel computing. In this chapter, we will first explain the mathematical formulation and algorithmic composition of the overlapping domain decomposition methods. Afterwards, we will focus on a generic implementation framework and its applications within Diff...

Domain Decomposition (dd) Methods

This short paper gives a review of domain decomposition methods for parallel computations of large scale problems, with a focus on computational geology.

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 ...