PML Enhanced with a Self-Adaptive Goal-Oriented $hp$-Finite Element Method: Simulation of Through-Casing Borehole Resistivity Measurements

DOI10.1137/070689796zbMath1185.78019OpenAlexW2067017409MaRDI QIDQ3648597

Carlos Torres-Verdín, David Pardo, Christian Michler, Leszek F. Demkowicz

Publication date: 27 November 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070689796

zbMATH Keywords

exponential convergence goal-oriented adaptivity perfectly matched layer (PML)$hp$-finite elements through-casing resistivity measurements

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Geo-electricity and geomagnetism (86A25)

Related Items (9)

Semi-analytical solutions for the problem of the electric potential set in a borehole with a highly conductive casing ⋮ On perfectly matched layers for discontinuous Petrov-Galerkin methods ⋮ Adaptive perfectly matched layer method for multiple scattering problems ⋮ Simulation of marine controlled source electromagnetic measurements using a parallel Fourier $hp$-finite element method ⋮ Asymptotic models for the electric potential across a highly conductive casing ⋮ Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain ⋮ Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D-DC borehole resistivity measurements ⋮ Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D alternating current borehole resistivity measurements ⋮ A painless multi-level automatic goal-oriented $hp$-adaptive coarsening strategy for elliptic and non-elliptic problems

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