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Dimensionally adaptive hp-finite element simulation and inversion of 2D magnetotelluric measurements
Magnetotelluric (MT) problems often contain different subdomains where the conductivity of the media depends upon one, two, or three spatial variables. Traditionally, when a MT problem incorporates a three-dimensional (3D) ...
Quantities of interest for surface based resistivity geophysical measurements
The objective of traditional goal-oriented strategies is to construct an optimal mesh that minimizes the problem size needed to achieve a user prescribed tolerance error for a given quantity of interest (QoI). Typical ...
A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
In some geophysical problems, it is sometimes possible to divide the subsurface resistivity distribution as a one dimensional (1D) contribution plus some two dimensional (2D) inhomogeneities. Assuming this scenario, we ...