Green Element Method Solutions To Steady
Inverse Contaminant Transport Problems
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
Related Book
Other papers in this volume
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