Page of Axel Modave

Axel
Modave 		Researcher
Chargé de Recherche
H.D.R. since 2024
PhD defended in 2013

Personal web page
ENSTA UMA
office 2.2.29
Phone : (0) 18 187 2082

Research Activities

Topics:
  • Numerical simulation of wave propagation (acoustic, electromagnetic and elastic waves)
  • Absorbing boundary conditions and perfectly matched layers
  • High-order methods, discontinuous finite element methods and domain decomposition methods
  • High performance scientific computing and modern architectures

Teachings

  • SIM203 - Introduction to high performance computing - [lectures, tutorials, projects] - Spring  (Website)
  • AMS301 - Parallel scientific computing - [lectures, tutorials, projects] - Fall  (Website)

Papers in peer-reviewed journal

R.-C. Meyer, H. Bériot, G. Gabard, A. Modave
Coupling of discontinuous Galerkin and pseudo-spectral methods for time-dependent acoustic problems (To appear)
 
A. Modave, T. Chaumont-Frelet
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems (2023)
Journal of Computational Physics - vol. 493 (pp 112459 ) 
R. Dai, A. Modave, J.-F. Remacle, C. Geuzaine
Multidirectionnal sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems (2022)
Journal of Computational Physics - Elsevier - vol. 453 (pp 110887 ) 
A. Royer, C. Geuzaine, E. Béchet, A. Modave
A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation (2022)
Computer Methods in Applied Mechanics and Engineering - Elsevier - vol. 395 (pp 115006 ) 
D. Chicaud, P. Ciarlet, A. Modave
Analysis of variational formulations and low-regularity solutions for time-harmonic electromagnetic problems in complex anisotropic media (2021)
SIAM Journal on Mathematical Analysis - vol. 53 (pp 2691-2717 ) 
H. Beriot, A. Modave
An automatic perfectly matched layer for acoustic finite element simulations in convex domains of general shape (2021)
International Journal for Numerical Methods in Engineering - vol. 122 
A. Modave, C. Geuzaine, X. Antoine
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering (2020)
Journal of Computational Physics - Elsevier - vol. 401 (pp 109029 ) 
A. Modave, A. Royer, X. Antoine, C. Geuzaine
An optimized Schwarz domain decomposition method with cross-point treatment for time-harmonic acoustic scattering (2020)
Computer Methods in Applied Mechanics and Engineering - vol. 368 (pp 113162 ) 
A. Modave, J. Lambrechts, C. Geuzaine
Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations (2017)
Computers and Mathematics with Applications - Elsevier - vol. 73 (4) (pp 684-700 ) 
A. Modave, A. Atle, J. Chan, T. Warburton
A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility (2017)
International Journal for Numerical Methods in Engineering - Wiley - vol. 112 (11) (pp 1659-1686 ) 

International conferences with proceedings

A. Modave, X. Antoine, C. Geuzaine
An efficient domain decomposition method with cross-point treatment for Helmholtz problems (2019)
 
A. Modave, X. Antoine, A. Royer, C. Geuzaine
An efficient domain decomposition method with cross-point treatment for Helmholtz problems (2019)
 
A. Modave, X. Antoine, C. Geuzaine
An efficient domain decomposition method with cross-point treatment for Helmholtz problems (2018)
 
A. Modave, A. Atle, J. Chan, T. Warburton
A nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility (2017)
 
A. Modave, V. Mattesi, C. Geuzaine
High-order absorbing boundary conditions with edge and corner compatibility for the Helmholtz equation (2017)
 

Conferences without proceedings

A. Modave, C. Geuzaine, X. Antoine
An efficient DDM with cross-points for the parallel finite Element solution of scattering problems (2018)
Workshop "Advanced theoretical and numerical methods for waves in structured media" - Paris (France) 
A. Modave, X. Antoine, C. Geuzaine
Conditions aux limites absorbantes d’ordre élevé pour l’équation de Helmholtz : traitement des coins et application en DDM (2018)
44e Congrès National d’Analyse Numérique (CANUM 2018) – Cap d’Agde (France) 
A. Modave, X. Antoine, C. Geuzaine
An Efficient DDM with Cross-points for the Parallel Finite Element Solution of Helmholtz Problems (2018)
13th World Congress on Computational Mechanics (WCCM 2018) – New York City (NY, USA) 
A. Modave, A. Atle, J. Chan, R. Hewett, T. Warburton
High-Order Absorbing Boundary Conditions for Time-Domain Wave Propagation with DG Methods (2017)
SIAM Conference on Computational Science and Engineering (CSE17) – Atlanta (Georgia, USA) 

H.D.R.

A. Modave
Contributions to Efficient Finite Element Solvers for Time-Harmonic Wave Propagation Problems (2024)
- Institut Polytechnique de Paris 

Preprint

P. Ciarlet, A. Modave
Analysis of time-harmonic electromagnetic problems with elliptic material coefficients (2024)