Computational Mathematics Seminar

Wednesday, November 2, 3-4 pm, Thackeray 704

Speaker: Prof. Valery Il'in, Institute of Computational Mathematics
and Mathematical Geophysics, SBRAS Novosibirsk

Title: Numerical Approaches for Solution of 3D Complex Helmholtz Equation

Abstract: The algorithms of numerical solution of 3D mixed boundary
value problems (BVPs),for complex Helmholtz equation, which describes
the vector electromagnetic field in frequency domain, are
considered. Approximation of BVP is made by divergence free finite
volume method, on the base of element-by-element computing the balance
matrices and assembling the global system of linear algebraic equation
(SLAE). Iterative solution of non-symmetric SLAE is implemented by
modified generalized conjugate residual (GCR) algorithm,
preconditioned by means of parametrized incomplete factorization
procedure. The results of numerical experiments for the model problems
are presented.