A multi-domain decomposition-based Fourier finite element method for the simulation of 3D marine CSEM measurements
Copyright policy )A multi-domain decomposition-based Fourier finite element method for the simulation of 3D marine CSEM measurements
We introduce a multi-domain decomposition Fourier finite element (MDDFFE) method for the simulation of three-dimensional (3D) marine controlled source electromagnetic measurement (CSEM). The method combines a 2D finite element (FE) method in two spatial dimensions with a hybrid discretization based on a Fourier FE method along the third dimension. The method employs a secondary field formulation rather than the total field formulation. We apply the MDDFFE method to several synthetic marine CSEM examples exhibiting bathymetry and/or multiple 3D subdomains. Numerical results show that the use of the MDDFFE method reduces the problem size by as much as 87 % in terms of the number of unknowns, without any sacrifice in accuracy.
Finite element method, Multigrid methods; domain decomposition for boundary value problems involving PDEs, multi-domain decomposition, Computational methods for problems pertaining to geophysics, marine CSEM, Numerical methods in optics, finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Fourier series, Geo-electricity and geomagnetism, Multi-domain decomposition, secondary field formulation, Secondary field formulation, Marine CSEM
Finite element method, Multigrid methods; domain decomposition for boundary value problems involving PDEs, multi-domain decomposition, Computational methods for problems pertaining to geophysics, marine CSEM, Numerical methods in optics, finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Fourier series, Geo-electricity and geomagnetism, Multi-domain decomposition, secondary field formulation, Secondary field formulation, Marine CSEM
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