IEEE Transactions on Antennas and Propagation · 1999 · 24 citations · 6 references
ComputingElectrical EngineeringGeophysicsComputational ElectromagneticsElectromagneticsFinite Element MethodsConvergence AnalysisElectromagnetic MethodsFinite Element DiscretizationFinite Element FormulationMaxwell's EquationsSpectral MethodsDiscretization Of Maxwell's EquationsElectromagnetic Field SolverFinite Element Methods For Maxwell's EquationsFrequency Domain ProcessingFrequency-dependent DiffusionFrequency-domain ElectromagneticsMatrix Equation SolversSpectral Decomposition
A very efficient three-dimensional (3-D) solver for the diffusion of the electromagnetic fields in an inhomogeneous medium is described. The proposed method employs either the node-based or the edge-based finite-element method (FEM) to discretize Maxwell's equations. The resultant matrix equation is solved by the spectral Lanczos decomposition method (SLDM), which is based on the Krylov subspace (Lanczos) approximation of the solution in the frequency domain. By analyzing some practical geophysical problems, it is shown that the SLDM is extremely fast and, furthermore, the electromagnetic fields at many frequencies can be evaluated by performing the SLDM iteration only at the lowest frequency.
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Diffraction of axisymmetric waves in a borehole by bed boundary discontinuities
Weng Cho Chew, Sandro Barone, B. Anderson et al. · Geophysics · 1984 · 134 citations
Natural Sciences, Geophysics, Computational Fluid Dynamics +13