Sign in
Back
Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem
Journal article   Peer reviewed

Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem

Salih Tatar
Inverse problems in science and engineering, Vol.21(1), pp.52-62
01/01/2013
DOI: https://doi.org/10.1080/17415977.2012.668674

Abstract

direct problem evolution equation inverse coefficient problem quasi-solution steady-state solution
In this article, we study a class of direct and inverse coefficient problems defined for a nonlinear parabolic equation. An existence of a quasi-solution of the considered inverse problem is obtained in the appropriate class of admissible coefficients. Direct problem is solved numerically by using semi-implicit finite difference scheme and then some examples are presented related to steady-state solution of the nonlinear direct problem and ill-posedness of the inverse problem.

Metrics

1 Record Views

Details