Dimensionally adaptive hp-finite element simulation and inversion of 2D magnetotelluric measurements

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• 作者：J. Alvarez-Aramberri^a ; ^{julen.alvarez.aramberri@gmail.com}Author Vitae ; D. Pardo^b ; ^a ; ^cAuthor Vitae
• 关键词：Dimensionally adaptive method ; Magnetotelluric problem ; Finite element method (FEM) ; hp-Adaptivity ; Inverse problems
• 刊名：Journal of Computational Science
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：18
• 期：Complete
• 页码：95-105
• 全文大小：4040 K
• 卷排序：18

文摘

We propose a dimensionally adaptive method for the inversion and we show the gains of this approach. We illustrate the fast convergence of the multi-goal oriented self-adaptive hp-FEM in terms of the error vs. the problem size, as expected from the theory. We provide a formulation for implementing an efficient adjoint based method for the computation of the derivatives of the impedance (a non-linear Quantity of Interest (QoI)) in terms of linear QoI.