Aurelien Citrain defended his PhD thesis entitled: Hybrid finite element methods for seismic wave simulation: coupling of Discontinuous Galerkin and Spectral Element discretizations To solve wave equations in heterogeneous media with finite elements with a reasonable numerical cost, we couple the Discontinuous Galerkin method (DGm) with Spectral Elements method (SEm). We use hybrid meshes composed …
Tag: PhD
Dec 07
PhD defense – Elvira Shishenina
Elvira Shishenina defended his PhD thesis entitled: Space-Time Discretization of Elasto-Acoustic Wave Equation in Polynomial Trefftz-DG Bases Discontinuous Finite Element Methods (DG FEM) have proven flexibility and accuracy for solving wave problems in complex media. However, they require a large number of degrees of freedom, which increases the corresponding computational cost compared with that of …
Nov 29
PhD defense – Florian Faucher
Florian Faucher defended his PhD thesis entitled: Contributions to Seismic Full Waveform Inversion for Time Harmonic Wave Equations: Stability Estimates, Convergence Analysis, Numerical Experiments involving Large Scale Optimization Algorithms In this project, we investigate the recovery of subsurface Earth parameters. We consider the seismic imaging as a large scale iterative minimization problem, and deploy the …
Dec 15
PhD defense – Marie Bonnasse-Gahot
Marie Bonnasse-Gahot defended his PhD thesis entitled: High order discontinuous Galerkin methods for time-harmonic elastodynamics The main objective of this work is the design of an efficient numerical strategy to solve the Helmholtz equation in highly heterogeneous media. We propose a methodology based on coarse meshes and high order polynomials together with a special quadrature …
Dec 12
PhD defense – Lionel Boillot
Lionel Boillot defended his PhD thesis entitled: Contributions to the mathematical modeling and to the parallel algorithmic for the optimization of an elastic wave propagator in anisotropic media
