Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem
Axioms, 2023 We construct an overlapping additive Schwarz preconditioner for the biharmonic Dirichlet problems discretized by isogeometric analysis based on generalized B-splines (GB-splines) and analyze its optimal convergence rate bound that is cubic in the ratio ...
Durkbin Cho
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On the Convergence of the Damped Additive Schwarz Methods and the Subdomain Coloring
Mathematical and Computational Applications, 2022 In this paper, we consider that the subdomains of the domain decomposition are colored such that the subdomains with the same color do not intersect and introduce and analyze the convergence of a damped additive Schwarz method related to such a subdomain
Lori Badea
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Effect of the frequency spacing on modal damping estimation of a double-layer grid [PDF]
مهندسی عمران شریف, 2021 Although natural frequencies and mode shapes can be accurately measured by dynamic tests, error bounds in values of damping estimation can be large. Since damping strongly influences the design and control of structures, efforts are made to find the ...
S. Salehi +2 more
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Comparison of FETI-based domain decomposition methods for topology optimization problems
Acta Polytechnica CTU Proceedings, 2022 We critically assess the performance of several variants of dual and dual-primal domain decomposition strategies in problems with fixed subdomain partitioning and high heterogeneity in stiffness coefficients typically arising in topology optimization of ...
Tomáš Medřický +3 more
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Recent advances in domain decomposition methods for large-scale saddle point problems
Comptes Rendus. Mécanique, 2022 Scalability of parallel solvers for problems with high heterogeneities relies on adaptive coarse spaces built from generalized eigenvalue problems in the subdomains.
Nataf, Frédéric +1 more
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About Revisiting Domain Decomposition Methods for Poroelasticity
Mathematics, 2018 In this paper, we revisit well-established domain decomposition (DD) schemes to perform realistic simulations of coupled flow and poroelasticity problems on parallel computers.
Horacio Florez
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Grid Infrastructure for Domain Decomposition Methods in Computational ElectroMagnetics [PDF]
, 2012 The accurate and efficient solution of Maxwell's equation is the problem addressed by the scientific discipline called Computational ElectroMagnetics (CEM).
Francavilla, A. +4 more
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A brief overview of non-overlapping domain decomposition methods
Geofísica Internacional, 2011 Se presenta una visión general de los métodos de descomposición de dominio con dominios ajenos. Los métodos más eficientes que existen en la actualidad, el BDDC y el FETI–DP, se ubican en un marco 'primal' (el 'espacio de vectores derivados (DVS, por sus
Ismael Herrera +2 more
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A Recursive Variant of Schwarz Type Domain Decomposition Methods
Ratio Mathematica, 2016 In this paper a slightly different approach to the use of the domain decomposition method of the Schwarz type is proposed. Instead of the standard coarse space construction we propose to use a recursive solution on each domain.
Frantisek Bubenik, Petr Mayer
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Overlapping Domain Decomposition Methods with FreeFem++ [PDF]
, 2014 International audienceIn this note, the performances of a framework for two-level overlapping domain decomposition methods are assessed. Numerical experiments are run on Curie, a Tier-0 system for PRACE, for two second order elliptic PDE with highly ...
Hecht, Frédéric +3 more
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