Speaker: Chen hao (Associate professor, Chongqing Normal University)

Title(1): Preconditioned iterative methods for implicit Runge-Kutta and boundary value method discretizations of parabolic PDEs

Abstract: In this talk, we discuss preconditioned iterative methods for linear systems arising in numerical integration of parabolic PDEs by implicit Runge-Kutta and boundary value methods. Preconditioning strategies based on Kronecker product –based splitting are proposed, and some useful properties of the preconditioned matrix are established.

Time: 9:00Am,26/08/2019

Location: room811, Science and technology building(south)

Title(2): Kronecker product-based preconditioners for fractional diffusion equations

Abstract: In this talk, we will consider preconditioned iterative methods for linear systems arising in the numerical discretizations of fractional diffusion equations. Fractional diffusion equations of 1,2,3-dimensional are covered. Preconditioning strategies based on a Kronecker product-based splitting and structure preserving approximation to 1D discretized fractional diffusion operator are proposed. Numerical examples are presented to illustrate the effectiveness of the approachx.

Time:10:20Am,26/08/2019

Location: room811, Science and technology building(south)

Title(3): Some splitting preconditioners for the Bidomain model

Abstract: In this talk, we consider fast iterative solvers for block two-by-two linear systems arising in numerical discretizations of the Bidomain model. Time integration schemes including Strang splitting and implicit Runge-Kutta methods are discussed. Some alternating splitting iteration methods are established and analyzed. The potential of the approaches is illustrated by numerical experiments.

Time:3:00Pm,26/08/2019

Location: room811, Science and technology building(south)

Title(4):Fast iterative solver for boundary value method discretizations of a parabolic optimal control problem

Abstract: In this talk, a distributed optimal control problem with the constrained of a parabolic PDE is considered. Boundary value methods are used to solve the coupled initial/final value problems arising from the first order optimality conditions for this problem. Preconditioning method based on a matching strategy and a Kronecker product-based splitting technique is established. Numerical experiments are presented to illustrate the accuracy and computational efficiency of the approach.

Time:4:20Pm,26/08/2019

Location: room811, Science and technology building(south)