3 papers
math.NA2023
Analysis and preconditioning of a probabilistic domain decomposition algorithm for elliptic boundary value problems
Francisco Bernal, Jorge Morón-Vidal
PDDSparse is a new hybrid parallelisation scheme for solving large-scale elliptic boundary value problems on supercomputers, which can be described as a Feynman-Kac formula for dom…
math.NA2023
An explicit substructuring method for overlapping domain decomposition based on stochastic calculus
Jorge Morón-Vidal, Francisco Bernal, Atsushi Suzuki
In a recent paper [{\em F. Bernal, J. Morón-Vidal and J.A. Acebrón, Comp. Math. App. 146:294-308 (2023)}] an hybrid supercomputing algorithm for elliptic equations has been put…
math.NA2015
A Multigrid-like Algorithm for Probabilistic Domain Decomposition
Francisco Bernal, Juan A. Acebrón
We present an iterative scheme, reminiscent of the Multigrid method, to solve large boundary value problems with Probabilistic Domain Decomposition (PDD). In it, increasingly accur…