Speaker：Weiying Zheng (Academy of Mathematics and Systems Science, CAS)

Time：2025-3-31, 16:45

Location：Conference Room C503 at Administration Building at Haiyun Campus 

Abstract:

We propose a W-cycle p-multigrid method for solving the p-version DG discretization of elliptic problems with discontinuous coefficients. The DG scheme employs hierarchical and orthogonal bases. We provide a rigorous convergence analysis for the p-multigrid method, using both inherited and non-inherited bilinear forms of the DG formulation. The convergence rate is uniform to the mesh size h, the polynomial degree p, and the ratio of discontinuous coefficients. Our method shows competitive behavior by reducing the number of smoothing steps from O(p^2) in the literature to O(p). Extensive numerical experiments are presented to verify our theoretical results.