An Efficient Linear Solver for Nonlinear Parameter Identification Problems

Authors:
Yee Lo Keung;Jun Zou
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2000

Citing 0
Cited 2

Evolutionary Algorithm for Identifying Discontinuous Parameters of Inverse Problems

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part IV: ICCS 2007
A Modified Nonlinear Inexact Uzawa Algorithm with a Variable Relaxation Parameter for the Stabilized Saddle Point Problem

SIAM Journal on Matrix Analysis and Applications

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Abstract

In this paper, we study some efficient numerical methods for parameter identifications in elliptic systems. The proposed numerical methods are conducted iteratively and each iteration involves only solving positive definite linear algebraic systems, although the original inverse problems are ill-posed and highly nonlinear. The positive definite systems can be naturally preconditioned with their corresponding block diagonal matrices. Numerical experiments are presented to illustrate the efficiency of the proposed algorithms.