Talk by Prof. JunFeng Yin from Tongji University:
"A class of positive-definte operator splitting iteration methods for variable-coefficient space-fractional diffusion equations"
A class of positive-definte operator splitting iteration methods for variable-coefficient space-fractional diffusion equations
Professor JunFeng Yin (School of Mathematical Science, Tongji University)
2:00-3:00pm / January 22nd (Tuesday)
Room 1901 (19th floor), NII
After discretization by the finite volume method, the numerical solution
of fractional diffusion equations leads to a linear system with
Theoretical analysis gives the sufficient conditions to guarantee the
positive-definite property of the discretized matrix.
Moreover, we develop a class of positive-definite operator splitting
iteration method for the numerical solution of fractional diffusion
equations, which is unconditionally convergent for any positive constant.
Meanwhile, the iteration methods introduce a new preconditioner for Krylov
Numerical experiments verify the convergence of the positive-definite
operator splitting iteration methods and show the effciency of the proposed
preconditioner, compared with the existing approaches.
hayami [at] nii.ac.jp