Mat-1.3656 Seminar on
numerical analysis and computational science
Monday, Feb 22, 2010, room
U322 at 14.15, Eirola & Stenberg
Allan Perämäki, A"
Numerical solution of the R-linear Beltrami equation
The R-linear Beltrami equation appears in applications, such as in the
inverse problem of recovering the electrical conductivity distribution in
the plane. In this paper, a new way to discretize the R-linear Beltrami
equation is considered. This gives rise to large and dense R-linear
systems of equations with structure. For their iterative solution, norm
minimizing Krylov subspace methods are devised. In the numerical
experiments, these improvements combined are shown to lead to speed-ups of
almost two orders of magnitude in the electrical conductivity problem.