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A painless multi-level automatic goal-oriented hp-adaptive coarsening strategy for elliptic and non-elliptic problems
Caro, F.V.
; Darrigrand, V.; Alvarez-Aramberri, J.; Alberdi, E.; Pardo, D. (2022-11-01)
; Darrigrand, V.; Alvarez-Aramberri, J.; Alberdi, E.; Pardo, D. (2022-11-01)
This work extends an automatic energy-norm $hp$-adaptive strategy based on performing quasi-optimal unrefinements to the case of non-elliptic problems and goal-oriented adaptivity. The proposed approach employs a multi-level ...
1D Painless Multi-level Automatic Goal-Oriented h and p Adaptive Strategies Using a Pseudo-Dual Operator
Caro, F.V.; Darrigrand, V.; Alvarez-Aramberri, J.; Alberdi, E.; Pardo, D. (2022-01-01)
; Darrigrand, V.; Alvarez-Aramberri, J.; Alberdi, E.; Pardo, D. (2022-01-01)
The main idea of our Goal-Oriented Adaptive (GOA) strategy is based on performing global and uniform h- or p-refinements (for h- and p-adaptivity, respectively) followed by a coarsening step, where some basis functions are ...
A Simulation Method for the Computation of the E
Omella, A. J.; Alvarez-Aramberri, J.; Strugaru, M.; Darrigrand, V.; Pardo, D.; Gonzalez, H.; Santos, C. (2021-03)
; Strugaru, M.; Darrigrand, V.; Pardo, D.; Gonzalez, H.; Santos, C. (2021-03)
We propose a set of numerical methods for the computation of the frequency-dependent eff ective primary wave velocity of heterogeneous rocks. We assume the rocks' internal microstructure is given by micro-computed tomography ...
Using Covariance Matrix Adaptation Evolutionary Strategy to boost the search accuracy in hierarchic memetic computations
Sawicki, J.; Los, M.; Smolka, M.; Alvarez-Aramberri, J. (2019-04)
(2019-04)
Many global optimization problems arising naturally in science and engineering exhibit some form of intrinsic ill-posedness, such as multimodality and insensitivity. Severe ill-posedness precludes the use of standard ...
Magnetotelluric characterization of the alhama de murcia fault (Eastern Betics) - Preliminary results
Martí, A.; Queralt, P.; Ledo, J.J.; Marcuello, A.; Alvarez-Aramberri, J.; Martínez-Díaz, J.J. (2016-12-31)
; Martínez-Díaz, J.J. (2016-12-31)
The Lorca Earthquake (11/5/2011, Mw 5.2) stands as the most destructive in Spain over the last 50 years. It was interpreted as having occurred in an intersegment zone of the strike-slip Alhama de Murcia Fault (AMF). Within ...
A multi-objective memetic inverse solver reinforced by local optimization methods
Gajda-Zagórska, E.; Schaefer, R.; Smolka, M.; Pardo, D.; Alvarez-Aramberri, J. (2016-09-01)
; Alvarez-Aramberri, J. (2016-09-01)
We propose a new memetic strategy that can solve the multi-physics, complex inverse problems, formulated as the multi-objective optimization ones, in which objectives are misfits between the measured and simulated states ...
Dimensionally adaptive hp-finite element simulation and inversion of 2D magnetotelluric measurements
Alvarez-Aramberri, J.; Pardo, D. (2016-09-01)
; Pardo, D. (2016-09-01)
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) ...
Multi-objective hierarchic memetic solver for inverse parametric problems
Gajda-Zagórska, E.; Smolka, M.; Schaefer, R.; Pardo, D.; Alvarez-Aramberri, J. (2015-12-31)
; Alvarez-Aramberri, J. (2015-12-31)
We propose a multi-objective approach for solving challenging inverse parametric problems. The objectives are misfits for several physical descriptions of a phenomenon under consideration, whereas their domain is a common ...
Quantities of interest for surface based resistivity geophysical measurements
Alvarez-Aramberri, J.; Bakr, S.A.; Pardo, D.; Barucq, H. (2015-12-31)
; Bakr, S.A.; Pardo, D.; Barucq, H. (2015-12-31)
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
Alvarez-Aramberri, J.; Pardo, D.; Barucq, E. (2015-12-31)
; Pardo, D.; Barucq, E. (2015-12-31)
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 ...