37 citations · 59 across the 12 of their papers we have counts for
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Decay bounds for Bernstein functions of Hermitian matrices with applications to the fractional graph Laplacian
Marcel Schweitzer
For many functions of matrices , it is known that their entries exhibit a rapid -- often exponential or even superexponential -- decay away from the sparsity pattern of the m…
A dimension-oblivious domain decomposition method based on space-filling curves
Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
In this paper we present an algebraic dimension-oblivious two-level domain decomposition solver for discretizations of elliptic partial differential equations. The proposed paralle…
A Fracture Multiscale Model for Peridynamic enrichment within the Partition of Unity Method
Matthias Birner, Patrick Diehl, Robert Lipton +1
Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Different physical models can exis…
A fault-tolerant domain decomposition method based on space-filling curves
Michael Griebel, Marc-Alexander Schweitzer, Lukas Troska
We propose a simple domain decomposition method for -dimensional elliptic PDEs which involves an overlapping decomposition into local subdomain problems and a global coarse prob…