The determination of a coefficient in an elliptic equation from average flux data Academic Article

abstract

• We consider the question of recovering the coefficient q from the equation -uj+q(x)uj=fj(x) subject to homogeneous Dirichlet boundary conditions in a bounded domain 2. The nonhomogeneous source terms {fj(x)}j=1 form a basis for L2(). It will be proven that a unique determination is possible from data measurements consisting of measurements of the net flux { uj/ ds}1 leaving a subset of the boundary for each input source fj. A continuous dependence result and an algorithm that allows efficient numerical reconstruction of q(x) from finite data is presented.

authors

• Rundell, William

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

• Lowe, B. D., & Rundell, W.

citation count

• 3

complete list of authors

• Lowe, BD||Rundell, W

publication date

• January 1996

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• Elliptic Equation
• Inverse Problem
• Quasi-newton Scheme
• Undetermined Coefficients

Digital Object Identifier (DOI)

• 10.1016/0377-0427(95)00155-7

start page

• 173

end page

• 187

volume

• 70

issue

• 1

URL

• http://dx.doi.org/10.1016/0377-0427(95)00155-7