scholarly journals GetDDM: An open framework for testing optimized Schwarz methods for time-harmonic wave problems

2016 ◽  
Vol 203 ◽  
pp. 309-330 ◽  
Author(s):  
B. Thierry ◽  
A. Vion ◽  
S. Tournier ◽  
M. El Bouajaji ◽  
D. Colignon ◽  
...  
Keyword(s):  
Harmonic Wave ◽  
Schwarz Methods ◽  
Open Framework ◽  
Time Harmonic ◽  
Wave Problems ◽  
Optimized Schwarz Methods

scholarly journals Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping

2012 ◽  
Vol 34 (4) ◽  
pp. A2048-A2071 ◽  
Author(s):  
M. El Bouajaji ◽  
V. Dolean ◽  
M. J. Gander ◽  
S. Lanteri
Keyword(s):  
Maxwell Equations ◽  
Schwarz Methods ◽  
Time Harmonic ◽  
Optimized Schwarz Methods

Asynchronous optimized Schwarz methods with and without overlap

2017 ◽  
Vol 137 (1) ◽  
pp. 199-227 ◽  
Author(s):  
Frédéric Magoulès ◽  
Daniel B. Szyld ◽  
Cédric Venet
Keyword(s):  
Schwarz Methods ◽  
Optimized Schwarz Methods

Optimized Schwarz Methods with Elliptical Domain Decompositions

2021 ◽  
Vol 86 (2) ◽  
Author(s):  
Xin Chen ◽  
Martin J. Gander ◽  
Yingxiang Xu
Keyword(s):  
Schwarz Methods ◽  
Optimized Schwarz Methods

Topological sensitivity analysis revisited for time-harmonic wave scattering problems. Part I: the free space case

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Frédérique Le Louër ◽  
María-Luisa Rapún
Keyword(s):  
Free Space ◽  
Order Term ◽  
Harmonic Wave ◽  
Dirichlet Condition ◽  
Point Sources ◽  
Neumann Condition ◽  
Scattering Problems ◽  
Content Type ◽  
Time Harmonic ◽  
Topological Gradient

PurposeIn this paper, the authors revisit the computation of closed-form expressions of the topological indicator function for a one step imaging algorithm of two- and three-dimensional sound-soft (Dirichlet condition), sound-hard (Neumann condition) and isotropic inclusions (transmission conditions) in the free space.Design/methodology/approachFrom the addition theorem for translated harmonics, explicit expressions of the scattered waves by infinitesimal circular (and spherical) holes subject to an incident plane wave or a compactly supported distribution of point sources are available. Then the authors derive the first-order term in the asymptotic expansion of the Dirichlet and Neumann traces and their surface derivatives on the boundary of the singular medium perturbation.FindingsAs the shape gradient of shape functionals are expressed in terms of boundary integrals involving the boundary traces of the state and the associated adjoint field, then the topological gradient formulae follow readily.Originality/valueThe authors exhibit singular perturbation asymptotics that can be reused in the derivation of the topological gradient function that generates initial guesses in the iterated numerical solution of any shape optimization problem or imaging problems relying on time-harmonic acoustic wave propagation.

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