Browsing by Subject "domain decomposition"
Now showing items 1-3 of 3
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A dimension-oblivious domain decomposition method based on space-filling curves
Griebel, Michael; Schweitzer, Marc Alexander; Troska, Lukas (2021-10)In this paper we present an algebraic dimension-oblivious two-level domain decomposition solver for discretizations of elliptic partial differential equations. The proposed parallel solver is based on a space-filling curve ... -
A fault-tolerant domain decomposition method based on space-filling curves
Griebel, Michael; Schweitzer, Marc Alexander; Troska, Lukas (2021-03)We propose a simple domain decomposition method for d-dimensional elliptic PDEs which involves an overlapping decomposition into local subdomain problems and a global coarse problem. It relies on a space-filling curve to ... -
Schwarz type solvers for hp-FEM discretizations of mixed problems
Beuchler, Sven; Purrucker, Martin (2011-07)The Stokes problem and linear elasticity problems can be viewed as a mixed variational formulation. These formulations are discretized by means of the <em>hp</em>-version of the finite element method. The system of linear ...