85 citations · 175 across the 5 of their papers we have counts for
7 papers
A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic electromagnetic problems
Ari E. Rappaport, Théophile Chaumont-Frelet, Axel Modave
The CHDG method is a hybridizable discontinuous Galerkin (HDG) finite element method suitable for the iterative solution of time-harmonic wave propagation problems. Hybrid unknowns…
Analysis of time-harmonic electromagnetic problems with elliptic material coefficients
Patrick Ciarlet, Axel Modave
We consider time-harmonic electromagnetic problems with material coefficients represented by elliptic fields, covering a wide range of complex and anisotropic material media. The p…
Multidirectionnal sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems
Ruiyang Dai, Axel Modave, Jean-François Remacle +1
This paper explores a family of generalized sweeping preconditionners for Helmholtz problems with non-overlapping checkerboard partition of the computational domain. The domain dec…
A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility
Axel Modave, Andreas Atle, Jesse Chan +1
Discontinuous Galerkin finite element schemes exhibit attractive features for accurate large-scale wave-propagation simulations on modern parallel architectures. For many applicati…
GPU performance analysis of a nodal discontinuous Galerkin method for acoustic and elastic models
Axel Modave, Amik St-Cyr, Tim Warburton
Finite element schemes based on discontinuous Galerkin methods possess features amenable to massively parallel computing accelerated with general purpose graphics processing units…
GPU-accelerated discontinuous Galerkin methods on hybrid meshes
Jesse Chan, Zheng Wang, Axel Modave +2
We present a time-explicit discontinuous Galerkin (DG) solver for the time-domain acoustic wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal and…
Nodal Discontinuous Galerkin Simulations for Reverse-Time Migration on GPU Clusters
Axel Modave, Amik St-Cyr, Wim A. Mulder +1
Improving both accuracy and computational performance of numerical tools is a major challenge for seismic imaging and generally requires specialized implementations to make full us…