Publications

Papers in peer-reviewed journals

2023

• A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems
  Axel Modave and Théophile Chaumont-Frelet
  Journal of Computational Physics, vol. 493, pp. 112459, nov, 2023   

2022

• A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation
  Anthony Royer, Christophe Geuzaine, Eric Béchet and Axel Modave
  Computer Methods in Applied Mechanics and Engineering, vol. 395, pp. 115006, Elsevier, may, 2022   
• Multidirectionnal sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems
  Ruiyang Dai, Axel Modave, Jean-François Remacle and Christophe Geuzaine
  Journal of Computational Physics, vol. 453, pp. 110887, Elsevier, mar, 2022   

2021

• An automatic perfectly matched layer for acoustic finite element simulations in convex domains of general shape
  Hadrien Beriot and Axel Modave
  International Journal for Numerical Methods in Engineering, vol. 122, mar, 2021   
• Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media
  Damien Chicaud, Patrick Ciarlet Jr. and Axel Modave
  SIAM Journal on Mathematical Analysis, vol. 53, pp. 2691-2717, may, 2021   

2020

• An optimized Schwarz domain decomposition method with cross-point treatment for time-harmonic acoustic scattering
  Axel Modave, Anthony Royer, Xavier Antoine and Christophe Geuzaine
  Computer Methods in Applied Mechanics and Engineering, vol. 368, pp. 113162, aug, 2020   
• Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering
  Axel Modave, Christophe Geuzaine and Xavier Antoine
  Journal of Computational Physics, vol. 401, pp. 109029, Elsevier, jan, 2020   

2017

• A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility
  Axel Modave, Andreas Atle, Jesse Chan and Tim Warburton
  International Journal for Numerical Methods in Engineering, vol. 112 (11), pp. 1659-1686, Wiley, dec, 2017   
• Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations
  Axel Modave, Jonathan Lambrechts and Christophe Geuzaine
  Computers and Mathematics with Applications, vol. 73 (4), pp. 684-700, Elsevier, feb, 2017   

2016

• GPU performance analysis of a nodal discontinuous Galerkin method for acoustic and elastic models
  Axel Modave, Amik St-Cyr and Tim Warburton
  Computers and Geosciences, vol. 91, pp. 64 - 76, Elsevier, jun, 2016   
• GPU-accelerated discontinuous Galerkin methods on hybrid meshes
  Jesse Chan, Zheng Wang, Axel Modave, Jean-Francois Remacle and Tim Warburton
  Journal of Computational Physics, vol. 318, pp. 142 - 168, Elsevier, aug, 2016   

2015

• A nodal discontinuous Galerkin method for reverse-time migration on GPU clusters
  Axel Modave, Amik St-Cyr, Wim Mulder and Tim Warburton
  Geophysical Journal International, vol. 203 (2), pp. 1419 - 1435, Oxford University Press (OUP), nov, 2015   

2014

• Optimizing perfectly matched layers in discrete contexts
  Axel Modave, Eric Delhez and Christophe Geuzaine
  International Journal for Numerical Methods in Engineering, vol. 99 (6), pp. 410 - 437, Wiley, aug, 2014   

2010

• On the parameters of absorbing layers for shallow water models
  Axel Modave, Eric Deleersnijder and Eric Delhez
  Ocean Dynamics, vol. 60 (1), pp. 65 - 79, Springer Verlag, feb, 2010   

International conferences with proceedings

2019

• An efficient domain decomposition method with cross-point treatment for Helmholtz problems
  Axel Modave, Xavier Antoine and Christophe Geuzaine
  14e Colloque National en Calcul des Structures - CSMA 2019, Giens (France), may, 2019   
• An efficient domain decomposition method with cross-point treatment for Helmholtz problems
  Axel Modave, Xavier Antoine, Anthony Royer and Christophe Geuzaine
  14th International Conference on Mathematical and Numerical Aspects of Wave Propagation - WAVES 2019, Vienna (Austria), aug, 2019   

2018

• An efficient domain decomposition method with cross-point treatment for Helmholtz problems
  Axel Modave, Xavier Antoine and Christophe Geuzaine
  XXXIX Ibero-Latin American Congress on Computational Methods in Engineering - Compiègne/Paris, France, nov, 2018   

2017

• A nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility
  Axel Modave, Andreas Atle, Jesse Chan and Tim Warburton
  13th International Conference on Mathematical and Numerical Aspects of Waves Propagation (WAVES 2017) – Minneapolis (USA), aug, 2017   
• High-order absorbing boundary conditions with edge and corner compatibility for the Helmholtz equation
  Axel Modave, Vanessa Mattesi and Christophe Geuzaine
  7th International Conference on Advanced Computational Methods in Engineering (ACOMEN 2017) - Ghent (Belgium), sep, 2017   

Conferences without proceedings

2018

• An Efficient DDM with Cross-points for the Parallel Finite Element Solution of Helmholtz Problems
  Axel Modave, Xavier Antoine and Christophe Geuzaine
  13th World Congress on Computational Mechanics (WCCM 2018) – New York City (NY, USA), jul, 2018   
• An efficient DDM with cross-points for the parallel finite Element solution of scattering problems
  Axel Modave, Christophe Geuzaine and Xavier Antoine
  Workshop "Advanced theoretical and numerical methods for waves in structured media" - Paris (France), mar, 2018   
• Conditions aux limites absorbantes d’ordre élevé pour l’équation de Helmholtz : traitement des coins et application en DDM
  Axel Modave, Xavier Antoine et Christophe Geuzaine
  44e Congrès National d’Analyse Numérique (CANUM 2018) – Cap d’Agde (France), mai 2018   

2017

• High-Order Absorbing Boundary Conditions for Time-Domain Wave Propagation with DG Methods
  Axel Modave, Andreas Atle, Jesse Chan, Russell Hewett and Tim Warburton
  SIAM Conference on Computational Science and Engineering (CSE17) – Atlanta (Georgia, USA), feb, 2017