A majorized Newton-CG augmented Lagrangian-based finite element method for 3D restoration of geological models

In this paper, we propose a majorized Newton-CG augmented Lagrangian-based finite element method for 3D elastic frictionless contact problems. In this scheme, we discretize the restoration problem via the finite element method and reformulate it to a constrained optimization problem. Then we apply t...

Full description

Saved in:
Bibliographic Details
Published in:Computers & geosciences 2016-04, Vol.89, p.200-206
Main Authors: Tang, Peipei, Wang, Chengjing, Dai, Xiaoxia
Format: Article
Language:English
Subjects:
Finite element method
Frictionless contact problems
Geology
Majorized augmented Lagrangian method
Mathematical analysis
Mathematical models
Optimization
Restoration
Restoration of geological models
Three dimensional
Three dimensional models
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we propose a majorized Newton-CG augmented Lagrangian-based finite element method for 3D elastic frictionless contact problems. In this scheme, we discretize the restoration problem via the finite element method and reformulate it to a constrained optimization problem. Then we apply the majorized Newton-CG augmented Lagrangian method to solve the optimization problem, which is very suitable for the ill-conditioned case. Numerical results demonstrate that the proposed method is a very efficient algorithm for various large-scale 3D restorations of geological models, especially for the restoration of geological models with complicated faults. •The 3D restoration problem is reformulated to a constrained optimization problem.•We apply the majorized Newton-CG augmented Lagrangian method to solve the problem.•This approach can be used to solve large-scale 3D restorations of geological models.•Numerical results show the efficiency of the cases with complicated faults.
ISSN:0098-3004
1873-7803
DOI:10.1016/j.cageo.2016.01.013