From 50ec775d58908a1f6c575058bbf279a550c569e4 Mon Sep 17 00:00:00 2001 From: Christophe Geuzaine <cgeuzaine@ulg.ac.be> Date: Sat, 17 Mar 2018 13:53:38 +0100 Subject: [PATCH] up --- GetDDM/getddm.html | 104 ++++++++++++++++++++++----------------------- 1 file changed, 52 insertions(+), 52 deletions(-) diff --git a/GetDDM/getddm.html b/GetDDM/getddm.html index 73a92ea..b94fbb4 100644 --- a/GetDDM/getddm.html +++ b/GetDDM/getddm.html @@ -29,13 +29,30 @@ <img src="marmousi.png" alt=""> </div> -<h1>Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic Wave Problems</h1> +<h1>An Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic +Wave Problems</h1> <p> -GetDDM combines <a href="http://getdp.info">GetDP</a> -and <a href="http://gmsh.info">Gmsh</a> to solve large scale finite element -problems using optimized Schwarz domain decomposition methods. - + GetDDM<a href="#1"><sup>1</sup></a> combines <a href="http://getdp.info">GetDP</a> + and <a href="http://gmsh.info">Gmsh</a> to solve large scale finite element + problems using optimized Schwarz domain decomposition methods. +</p> +<p> + <a href="https://gitlab.onelab.info/doc/models/wikis/Domain-decomposition-methods-for-waves">Examples + for time-harmonic acoustic and electromagnetic wave problems</a> implement + several families of transmission conditions: zeroth- and second-order + optimized conditions<a href="#2"><sup>2-7</sup></a>, Padé-localized + square-root conditions<a href="#8"><sup>8-9</sup></a> and PML + conditions<a href="#10"><sup>10</sup></a>. Several variants of the + double-sweep preconditioner<a href="#10"><sup>10</sup></a> are also + implemented. +</p> +<p> + For more information about these methods as well as the implementation, please + refer + to <a href="http://www.montefiore.ulg.ac.be/~geuzaine/preprints/getddm_preprint.pdf">GetDDM: + an Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic Wave + Problems</a>. </p> <h2>Quick start</h2> @@ -63,72 +80,55 @@ problems using optimized Schwarz domain decomposition methods. mpirun -np 100 getdp models/GetDDM/waveguide3d.pro -solve DDM </pre> The actual commands will depend on your particular MPI setup. Sample - scripts for SLURM and PBS schedulers are also available. + scripts + for <a href="https://gitlab.onelab.info/doc/models/tree/master/DDMWaves/run_slurm.sh">SLURM</a> + and <a href="https://gitlab.onelab.info/doc/models/tree/master/DDMWaves/run_pbs.sh">PBS</a> + schedulers are also available. </ol> -(For parallel computations you will have to [recompile GetDP with MPI - support](https://gitlab.onelab.info/getdp/getdp/wikis/GetDP-compilation). Sample - [SLURM](https://gitlab.onelab.info/doc/models/tree/master/DDMWaves/run_slurm.sh) - and [PBS - scripts](https://gitlab.onelab.info/doc/models/tree/master/DDMWaves/run_pbs.sh) - are provided to to run on HPC clusters.) - - -for time-harmonic acoustic and electromagnetic wave problems. See Several -families of transmission conditions are implemented: zeroth- and second-order -optimized conditions [1-6], Padé-localized square-root conditions [7-8] and PML -conditions [9]. Several variants of the double-sweep preconditioner [9] are also -implemented. - -For more information about these methods as well as the implementation, please -refer to [GetDDM: an Open Framework for Testing Optimized Schwarz Methods for -Time-Harmonic Wave -Problems](http://www.montefiore.ulg.ac.be/~geuzaine/preprints/getddm_preprint.pdf) -[10]. - - <h2>References</h2> <div class="small"> <ol class="small"> - <li>B. Després, Méthodes de Décomposition de Domaine pour les Problèmes de - Propagation d'Ondes en Régime Harmonique. Le Théorème de Borg pour - l'Equation de Hill Vectorielle, PhD Thesis, Paris VI University, France, - 1991. - <li>B. Després, P. Joly and J. Roberts, A domain decomposition method for - the harmonic Maxwell equations, Iterative methods in linear algebra - (Brussels, 1991), pp. 475-484, North-Holland, 1992. - <li>M. Gander, F. Magoulès and F. Nataf, Optimized Schwarz methods without + <li><a name="1"></a>B. Thierry, A.Vion, S. Tournier, M. El Bouajaji, + D. Colignon, N. Marsic, X. Antoine, + C. Geuzaine. <a href="http://www.montefiore.ulg.ac.be/~geuzaine/preprints/getddm_preprint.pdf">GetDDM: + an Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic + Wave Problems</a>. Computer Physics Communications 203, 309-330, 2016. + <li><a name="2"></a>B. Després, Méthodes de Décomposition de Domaine pour les + Problèmes de Propagation d'Ondes en Régime Harmonique. Le Théorème de Borg + pour l'Equation de Hill Vectorielle, PhD Thesis, Paris VI University, + France, 1991. + <li><a name="3"></a>B. Després, P. Joly and J. Roberts, A domain decomposition + method for the harmonic Maxwell equations, Iterative methods in linear + algebra (Brussels, 1991), pp. 475-484, North-Holland, 1992. + <li><a name="4"></a>M. Gander, F. Magoulès and F. Nataf, Optimized Schwarz methods without overlap for the Helmholtz equation}, SIAM Journal on Scientific Computing, 24(1), pp. 38-60, 2002. - <li>V. Dolean, M. Gander and L. Gerardo-Giorda, Optimized Schwarz methods - for Maxwell's equations, SIAM Journal on Scientific Computing, 31(3), - pp. 2193-2213, 2009. - <li>A. Bendali and Y. Boubendir, Non-Overlapping Domain Decomposition Method - for a Nodal Finite Element Method, Numerische Mathematik 103(4), - pp.515-537, (2006). - <li>V. Rawat and J.-F. Lee, Nonoverlapping Domain Decomposition with Second - Order Transmission Condition for the Time-Harmonic Maxwell's Equations, - SIAM Journal on Scientific Computing, 32(6), pp. 3584-3603, 2010. - <li>Y. Boubendir, X. Antoine and + <li><a name="5"></a>V. Dolean, M. Gander and L. Gerardo-Giorda, Optimized + Schwarz methods for Maxwell's equations, SIAM Journal on Scientific + Computing, 31(3), pp. 2193-2213, 2009. + <li><a name="6"></a>A. Bendali and Y. Boubendir, Non-Overlapping Domain + Decomposition Method for a Nodal Finite Element Method, Numerische + Mathematik 103(4), pp.515-537, (2006). + <li><a name="7"></a>V. Rawat and J.-F. Lee, Nonoverlapping Domain Decomposition + with Second Order Transmission Condition for the Time-Harmonic Maxwell's + Equations, SIAM Journal on Scientific Computing, 32(6), pp. 3584-3603, + 2010. + <li><a name="8"></a>Y. Boubendir, X. Antoine and C. Geuzaine. <a href="http://www.montefiore.ulg.ac.be/~geuzaine/preprints/ddm_helmholtz_preprint.pdf">A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation</a>. Journal of Computational Physics 231 (2), 262-280, 2012. - <li>M. El Bouajaji, X. Antoine and + <li><a name="9"></a>M. El Bouajaji, X. Antoine and C. Geuzaine. <a href="http://www.montefiore.ulg.ac.be/~geuzaine/preprints/osrc_maxwell_preprint.pdf">Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations</a>. Journal of Computational Physics 279 241-260, 2014. - <li>A. Vion and + <li><a name="10"></a>A. Vion and C. Geuzaine. <a href="http://www.montefiore.ulg.ac.be/~geuzaine/preprints/ddm_double_sweep_preprint.pdf"> Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem</a>. Journal of Computational Physics 266, 171-190, 2014. - <li>B. Thierry, A.Vion, S. Tournier, M. El Bouajaji, D. Colignon, N. Marsic, - X. Antoine, - C. Geuzaine. <a href="http://www.montefiore.ulg.ac.be/~geuzaine/preprints/getddm_preprint.pdf">GetDDM: - an Open Framework for Testing Optimized Schwarz Methods for Time-Harmonic - Wave Problems</a>. Computer Physics Communications 203, 309-330, 2016. </ol> </div> -- GitLab