Worst scenario and domain decomposition methods in geomechanics

Worst scenario and domain decomposition methods in geomechanics

In geomechanics there are problems whose investigations lead to solving model problems based on variational formulations. Such problems are frequently formulated by variational inequalities as they physically describe the principle of virtual work in its inequality form. In the first part of the contribution the algorithm for the numerical solution of the discussed variational inequality proble...

Cavity Expansion Methods in Geomechanics

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.

Domain Decomposition Methods in Science and Engineering

FETI205 A conforming FEM for (2.7) results in the discrete optimality system K1 0 BT1 00 K̃2−B2 −C2 ΥB1 −B2 0 00−ΥC2 0 Υ  u1u2λμ = f1f200(2.8) where K̃2 ≡ K2+C2 ΥC2.Elimination of the primal variables in (2.8) results in the coarse grid problem[B1K−11 B T1 +B2K̃−12 ...