Dealing with Cross-Points in a Non-Overlapping Domain Decomposition Solution of the Helmholtz Equation

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 ◽

10.1007/978-3-642-55856-6_51 ◽

2003 ◽

pp. 319-324

Author(s):

Y. Boubendir ◽

A. Bendali

Keyword(s):

Helmholtz Equation ◽

Domain Decomposition ◽

Overlapping Domain Decomposition

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An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation

SIAM Journal on Scientific Computing ◽

10.1137/18m1196170 ◽

2019 ◽

Vol 41 (2) ◽

pp. A1252-A1277 ◽

Author(s):

Wei Leng ◽

Lili Ju

Keyword(s):

Helmholtz Equation ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Overlapping Domain Decomposition

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A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation

Journal of Computational Physics ◽

10.1016/j.jcp.2011.08.007 ◽

2012 ◽

Vol 231 (2) ◽

pp. 262-280 ◽

Author(s):

Y. Boubendir ◽

X. Antoine ◽

C. Geuzaine

Keyword(s):

Helmholtz Equation ◽

Domain Decomposition ◽

Decomposition Algorithm ◽

Overlapping Domain Decomposition ◽

Domain Decomposition Algorithm

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Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.027 ◽

2018 ◽

Vol 75 (6) ◽

pp. 1900-1911 ◽

Author(s):

Yassine Boubendir ◽

Dawid Midura

Keyword(s):

Helmholtz Equation ◽

Domain Decomposition ◽

Transmission Conditions ◽

Decomposition Algorithm ◽

Overlapping Domain Decomposition ◽

Domain Decomposition Algorithm

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Quasi-local transmission conditions for non-overlapping domain decomposition methods for the Helmholtz equation

Comptes Rendus Physique ◽

10.1016/j.crhy.2014.04.005 ◽

2014 ◽

Vol 15 (5) ◽

pp. 403-414 ◽

Author(s):

Matthieu Lecouvez ◽

Bruno Stupfel ◽

Patrick Joly ◽

Francis Collino

Keyword(s):

Helmholtz Equation ◽

Domain Decomposition ◽

Decomposition Methods ◽

Transmission Conditions ◽

Domain Decomposition Methods ◽

Overlapping Domain Decomposition ◽

Local Transmission

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A method for solving an exterior boundary value problem for the Laplace equation by overlapping domain decomposition

Sibirskii zhurnal industrial'noi matematiki ◽

10.33048/sibjim.2019.22.309 ◽

2019 ◽

Vol 22 (3) ◽

pp. 104-113

Author(s):

A. O. Savchenko ◽

A. V. Petukhov

Keyword(s):

Boundary Value Problem ◽

Domain Decomposition ◽

Laplace Equation ◽

Boundary Value ◽

Exterior Boundary ◽

Overlapping Domain Decomposition ◽

Exterior Boundary Value Problem

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Convergence of a fully overlapping domain decomposition method

2011 XXXth URSI General Assembly and Scientific Symposium ◽

10.1109/ursigass.2011.6050245 ◽

2011 ◽

Author(s):

Tao Peng ◽

Kubilay Sertel ◽

John L. Volakis

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Overlapping Domain Decomposition

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An improved sweeping domain decomposition preconditioner for the Helmholtz equation

Advances in Computational Mathematics ◽

10.1007/s10444-016-9475-y ◽

2016 ◽

Vol 43 (1) ◽

pp. 45-76 ◽

Author(s):

Christiaan C. Stolk

Keyword(s):

Helmholtz Equation ◽

Domain Decomposition

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An overlapping domain decomposition based near-far field coupling method for wave structure interaction simulations

Coastal Engineering ◽

10.1016/j.coastaleng.2017.04.009 ◽

2017 ◽

Vol 126 ◽

pp. 37-50 ◽

Author(s):

Xin Lu ◽

Dominic Denver John Chandar ◽

Yu Chen ◽

Jing Lou

Keyword(s):

Domain Decomposition ◽

Wave Structure ◽

Coupling Method ◽

Far Field ◽

Structure Interaction ◽

Field Coupling ◽

Overlapping Domain Decomposition ◽

Wave Structure Interaction

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A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2010070 ◽

2010 ◽

Vol 45 (4) ◽

pp. 675-696 ◽

Author(s):

Hani Benhassine ◽

Abderrahmane Bendali

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Stokes Problem ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Overlapping Domain Decomposition

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On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1882 ◽

2007 ◽

Vol 70 (3) ◽

pp. 322-350 ◽

Author(s):

P.-A. Guidault ◽

T. Belytschko

Keyword(s):

Domain Decomposition ◽

Lagrange Multipliers ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Overlapping Domain Decomposition

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