Speaker: Yongtao Zhang
Notre Dame ACMS
Will give a PDE, Complex Analysis and Differential Geometry Seminar entitled:
High order WENO fast sweeping schemes for solving steady state problems of hyperbolic PDEs
Abstract: Fast sweeping methods are a class of efficient iterative methods for solving steady state problems of hyperbolic PDEs. They utilize alternating sweeping strategy to cover a family of characteristics in a certain direction simultaneously in each sweeping order. Coupled with the Gauss-Seidel iterations, these methods can achieve a fast convergence speed for computations of steady state solutions of hyperbolic PDEs. In this talk, I shall first review our studies on developing high order accurate weighted essentially non-oscillatory (WENO) fast sweeping schemes for solving steady state problems of hyperbolic PDEs. Then our recent research on developing absolutely convergent fixed-point fast sweeping methods on structured and unstructured meshes to improve the convergence of high-order WENO fast sweeping methods will be presented.
Date: 04-16-2024
Time: 11:00 am
Location: 258 Hurley Bldg
Originally published at math.nd.edu.