WIT Press


Green Element Method Solutions To Steady Inverse Contaminant Transport Problems

Price

Free (open access)

Paper DOI

10.2495/BEM130091

Volume

54

Pages

10

Page Range

93 - 102

Published

2013

Size

877 kb

Author(s)

E. K. Onyari & A. E. Taigbenu

Abstract

Inverse contaminant transport problems, unlike direct problems, may result in non-unique and unstable solutions because of the ill-conditioned nature of the coefficient matrix. In this work the Green element method (GEM) is used to solve steady inverse contaminant transport problems. The ill-conditioned, overdetermined system of equations that arises from the Green element discretization is solved by the least square method with the singular value decomposition technique and Tikhonov regularization. Two examples of steady inverse contaminant transport problems with constant and variable velocity are simulated by GEM with good prediction obtained for the concentration and fluxes. Keywords: Green element method, steady inverse contaminant transport, convection-diffusion, singular value decomposition.

Keywords

Green element method, steady inverse contaminant transport, convection-diffusion, singular value decomposition