A Lagrange multiplier decomposition method for a nonlinear sedimentary basin problem

Authors:
Jonas Koko
Affiliations:
LIMOS, Université Blaise Pascal-CNRS UMR 6158 ISIMA, Campus des Cézeaux-BP 10125, 63173 Aubière cedex, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

Citing 2
Cited 0

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Domain decomposition methods applied to sedimentary basin modeling

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

We study a Lagrange multiplier based non-overlapping domain decomposition method for the nonlinear over-pressure equation. Using an additional unknown, the problem is restated as a linearly constrained minimization problem. The resulting Uzawa-type algorithm requires at each iteration the solution of one uncoupled Poisson problem.