Journal ArticleDOI
Numerical Modelling in Geo-Electromagnetics: Advances and Challenges
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TLDR
This review of recent developments in the discrete solution of the 3-D induction problem in the time and frequency domains reviews advantages and disadvantages of the common numerical techniques for solving partial differential equations such as the Finite Difference and Finite Element methods.Abstract:
During the last decade, tremendous advances have been observed in the broad field of numerical modelling for geo-electromagnetic applications. This trend received support due to increasing industrial needs, mainly caused by hydrocarbon and ore exploration industry. On the other hand, the increasing reliability and accuracy of data acquisition techniques further spurs this development. In this review, we will focus on advances and challenges in numerical modelling in geo-electromagnetics. We review recent developments in the discrete solution of the 3-D induction problem in the time and frequency domains. Particularly, advantages and disadvantages of the common numerical techniques for solving partial differential equations such as the Finite Difference and Finite Element methods will be considered.read more
Citations
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Journal ArticleDOI
A goal-oriented adaptive finite-element approach for plane wave 3-D electromagnetic modelling
TL;DR: A goal-oriented adaptive finite element approach for plane wave 3D electromagnetic modeling is proposed in this paper, which is based on adaptive finite-element (AEFES) approach.
Journal ArticleDOI
Three-dimensional adaptive higher order finite element simulation for geo-electromagnetics—a marine CSEM example
TL;DR: A new 3-D vector finite element code is presented and its strength is demonstrated by modelling a realistic marine CSEM scenario which shows that seafloor topography gives an important response which needs to be reproduced by numerical modelling to avoid the misinterpretation of measurements.
Journal ArticleDOI
A parallel finite-element method for three-dimensional controlled-source electromagnetic forward modelling
Vladimir Puzyrev,Jelena Koldan,Josep de la Puente,Guillaume Houzeaux,Mariano Vázquez,José María Cela +5 more
TL;DR: A nodal finite-element method that can be used to compute in parallel highly accurate solutions for 3-D controlled-source electromagnetic forward-modelling problems in anisotropic media and demonstrates the performance in large problems with tens and even hundreds of millions of degrees of freedom.
Journal ArticleDOI
Three-Dimensional Magnetotelluric Inversion: An Introductory Guide for Developers and Users
TL;DR: The goal of this paper is to summarize all the important issues involving 3-D inversions, and to show how inversion works and how to use it properly.
References
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Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Journal ArticleDOI
A 2dvEv- bit distributed algorithm for the directed Euler trail problem
Wen-Huei Chen,Chuan Yi Tang +1 more
TL;DR: The algorithm can be used as a building block for solving other distributed graph problems, and can be slightly modified to run on a strongly-connected diagraph for generating the existent Euler trail or to report that no Euler trails exist.
Book
Iterative Methods for Sparse Linear Systems
TL;DR: This chapter discusses methods related to the normal equations of linear algebra, and some of the techniques used in this chapter were derived from previous chapters of this book.
Journal ArticleDOI
A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
Journal ArticleDOI
Mixed finite elements in ℝ 3
TL;DR: In this article, the authors present two families of non-conforming finite elements, built on tetrahedrons or on cubes, which are respectively conforming in the spacesH(curl) and H(div).