We present a finite-volume method for the modeling of wave propagation on irregular triangular grids. This method is based on an integral formulation of the wave equation via Gauss's theorem and on spatial discretization via Delaunay and Dirichlet tessellations. We derive the equations for both SH and P-SV wave propagation in 2-D. The method is of second-order accuracy in time. For uniform triangular grids it is also second-order accurate in space, while the accuracy is first-order in space for nonuniform grids. This method has an advantage over finite-difference techniques because irregular interfaces in a model can be represented more accurately. Moreover, it may be computationally more efficient for complex models.United States. A...
We develop embedded boundary methods to handle arbitrarily shaped topography to ac- curately simulat...
Solution of the wave equation using techniques such as finite difference or finite element methods c...
A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-...
We present a finite-volume method for the modeling of wave propagation on irregular triangular grids...
International audienceA new numerical technique for solving the 2D elastodynamic equations based on ...
A generalization of Godunov's method for systems of conservation laws has been developed and analyze...
International audienceA Triangular Spectral Element Method (TSEM) is presented to simulate elastic w...
The construction of the two-dimensional finite volume numerical scheme based on the representation o...
Wave propagation problems can be modeled by partial differential equations. In this thesis, we study...
We propose and analyze a high-order Discontinuous Galerkin Finite Element Method for the approximate...
Surface topography and the weathered zone (i.e., heterogeneity near the earth’s surface) have great ...
A direct boundary element method that uses the full-space Green's function is proposed for calc...
accepted and to be published in Geophys. J. Int.International audienceA method is proposed for accur...
We develop embedded boundary methods to handle arbitrarily shaped topography to ac- curately simulat...
Solution of the wave equation using techniques such as finite difference or finite element methods c...
A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-...
We present a finite-volume method for the modeling of wave propagation on irregular triangular grids...
International audienceA new numerical technique for solving the 2D elastodynamic equations based on ...
A generalization of Godunov's method for systems of conservation laws has been developed and analyze...
International audienceA Triangular Spectral Element Method (TSEM) is presented to simulate elastic w...
The construction of the two-dimensional finite volume numerical scheme based on the representation o...
Wave propagation problems can be modeled by partial differential equations. In this thesis, we study...
We propose and analyze a high-order Discontinuous Galerkin Finite Element Method for the approximate...
Surface topography and the weathered zone (i.e., heterogeneity near the earth’s surface) have great ...
A direct boundary element method that uses the full-space Green's function is proposed for calc...
accepted and to be published in Geophys. J. Int.International audienceA method is proposed for accur...
We develop embedded boundary methods to handle arbitrarily shaped topography to ac- curately simulat...
Solution of the wave equation using techniques such as finite difference or finite element methods c...
A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-...