A 3D frequency-domain electromagnetic solver employing a high order compact finite-difference scheme

Vilanakis N.D.; Mathioudakis E.; Economou N.Vafidis A.

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A 3D frequency-domain electromagnetic solver employing a high order compact finite-difference scheme

机译：A 3D frequency-domain electromagnetic solver employing a high order compact finite-difference scheme

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? 2023 Elsevier LtdThree-dimensional (3D) electromagnetic (EM) modeling is an important tool for geophysical applications. In EM induction methods the modified Helmholtz equation is often used to describe scattered or residual electric fields in three dimensions. Throughout this paper, a high order compact finite difference scheme for the solution of that equation for vertical magnetic dipole source (VMD) is presented. The approximation of the residual electric field intensity using a fourth order compact finite difference (FD) discretizer is achieved with the solution of a block linear system, the coefficient matrices are large and sparse with a particular structure, implying the application of a matrix-free Krylov subspace method for an efficient numerical solution. The proposed solver is being examined using a number of test problems in uniform and non-uniform grid spacing where numerical and analytical solutions for the homogeneous half-space cases are being compared.

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《Computers & geosciences》 |2023年第9期|1.1-1.19|共19页
作者
Vilanakis N.D.; Mathioudakis E.; Economou N.Vafidis A.;
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作者单位

Applied Mathematics and Computers Laboratory Technical University of Crete;

Applied Geophysics Laboratory School of Mineral Resources Engineering Technical University of Crete||Earth Sciences Department College of Science Sultan Qaboos University;

Applied Geophysics Laboratory School of Mineral Resources Engineering Technical University of Crete;

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正文语种英语
中图分类计算机的应用;天文学、地球科学;
关键词
EM induction Method; FDFD Solver; High-order scheme; Parallel algorithm;

A 3D frequency-domain electromagnetic solver employing a high order compact finite-difference scheme

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