Open AccessWeighted adaptive finite-element method for 3D transient EM modelling
Author(s) -
Jianbo Zheng,
Yajuan Jia,
Juanjuan Wang,
Yunhe Liu,
Yanfu Qi
Publication year - 2021
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/660/1/012063
Subject(s) - finite element method , weighting , computer science , grid , backward euler method , transient (computer programming) , euler's formula , key (lock) , algorithm , mathematics , mathematical optimization , euler equations , mathematical analysis , geometry , engineering , structural engineering , computer security , operating system , medicine , radiology
As we know, grid quality can produce big effect on the numerical precision of 3D forward modeling. How to generate high-quality grids becomes the key for high-accuracy EM responses. So we develop a weighted adaptive finite-element method based on hybrid posterior error estimation in combination with unstructured vector finite-element method and Backward Euler scheme. We introduce a weighting factor to adjust the relative weight of posterior errors defined by the continuities of normal current density and tangential magnetic field to create an effective mesh. The numerical experiments on a conductive cube model show that our algorithm performs better than the traditional adaptive method.