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A nonconforming mixed finite element method for Maxwell's equations
(World Scientific, 2000-02)
We present a nonconforming mixed finite element scheme for the approximate solution of the time-harmonic Maxwell's equations in a three-dimensional, bounded domain with absorbing boundary conditions on artificial boundaries. ...
Nonconforming Galerkin methods for the Helmholtz equation
(John Wiley & Sons Inc, 2001-09)
Nonconforming Galerkin methods for a Helmholtz-like problem arising in seismology are discussed both for standard simplicial linear elements and for several new rectangular elements related to bilinear or trilinear elements. ...
A new discrete fracture approach based on the use of coupling finite elements for modeling fluid transport in naturally fractured porous media
(2021-12-01)
The presence of natural fractures in a porous medium strongly influences the fluid flow path. The complex geometric characteristics of the fracture network create preferential channels that change the permeability of the ...
Parallel finite element algorithm with domain decomposition for three-dimensional magnetotelluric modelling
(Elsevier Science, 2000-05)
We present a new finite element (FE) method for magnetotelluric modelling of three-dimensional conductivity structures. Maxwell's equations are treated as a system of first-order partial differential equations for the ...
Numerical electroseismic modeling: A finite element approach
(Elsevier Science Inc, 2012-02)
Electroseismics is a procedure that uses the conversion of electromagnetic to seismic waves in a fluid-saturated porous rock due to the electrokinetic phenomenon. This work presents a collection of continuous and discrete ...
A posteriori error analysis for nonconforming approximation of multiple eigenvalues
(Wiley, 2017-01)
In this paper, we study an a posteriori error indicator introduced in E. Dari, R.G. Durán, and C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix–Raviart nonconforming ...
A finite volume formulation for magnetostatics of discontinuous media within a multi-region OpenFOAM framework
(Academic Press Inc Elsevier Science, 2021-05-15)
In this article we present a formulation for the numerical computation of static magnetic fields in discontinuous media. Focusing on solving magneto-fluid-structure interaction problems, we developed a finite volume ...