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hal-03416187v1  Journal articles
Anthony Royer, Christophe Geuzaine, Eric Béchet, Axel Modave. A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2022, 395, pp.115006. ⟨10.1016/j.cma.2022.115006⟩
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hal-01378501v2  Journal articles
Axel Modave, Jonathan Lambrechts, Christophe Geuzaine. Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations
Computers & Mathematics with Applications, Elsevier, 2017, 73 (4), pp.684-700. ⟨10.1016/j.camwa.2016.12.027⟩
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hal-01900309v1  Conference papers
Axel Modave, Xavier Antoine, Christophe Geuzaine. An efficient domain decomposition method with cross-point treatment for Helmholtz problems
XXXIX Ibero-Latin American Congress on Computational Methods in Engineering, Nov 2018, Compiègne/Paris, France
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hal-02738261v2  Journal articles
Hadrien Bériot, Axel Modave. An automatic PML for acoustic finite element simulations in convex domains of general shape
International Journal for Numerical Methods in Engineering, Wiley, 2021, 122 (5), pp.1239-1261. ⟨10.1002/nme.6560⟩
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hal-02651682v3  Journal articles
Damien Chicaud, Patrick Ciarlet, Axel Modave. Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021, 53 (3), pp.2691-2717. ⟨10.1137/20M1344111⟩
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hal-01573689v1  Conference papers
Axel Modave, Andreas Atle, Jesse Chan, Tim Warburton. A nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility
WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minneapolis, United States
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hal-02432422v2  Journal articles
Axel Modave, Anthony Royer, Xavier Antoine, Christophe Geuzaine. A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2020, 368, pp.1131622020. ⟨10.1016/j.cma.2020.113162⟩
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hal-01925160v2  Journal articles
Axel Modave, Christophe Geuzaine, Xavier Antoine. Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering
Journal of Computational Physics, Elsevier, 2020, 401, pp.109029. ⟨10.1016/j.jcp.2019.109029⟩
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hal-02353415v1  Conference papers
Axel Modave, Xavier Antoine, Christophe Geuzaine. An efficient domain decomposition method with cross-point treatment for Helmholtz problems
CSMA 2019 - 14e Colloque National en Calcul des Structures, May 2019, Giens (Var), France
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hal-03240042v1  Journal articles
Ruiyang Dai, Axel Modave, Jean-François Remacle, Christophe Geuzaine. Multidirectionnal sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems
Journal of Computational Physics, Elsevier, 2022, pp.110887. ⟨10.1016/j.jcp.2021.110887⟩
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hal-01588749v1  Conference papers
Axel Modave, Vanessa Mattesi, Christophe Geuzaine. High-order absorbing boundary conditions with edge and corner compatibility for the Helmholtz equation
ACOMEN 2017 - 7th International Conference on Advanced Computational Methods in Engineering, Sep 2017, Ghent, Belgium
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hal-02353312v1  Conference papers
Axel Modave, Xavier Antoine, Anthony Royer, Christophe Geuzaine. An efficient domain decomposition method with cross-point treatment for Helmholtz problems
WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienna, Austria