Power contraction of RAS with local impedance problems for the Helmholtz equation
报告题目:Power contraction of RAS with local impedance problems for the Helmholtz equation
报告摘要:The Helmholtz equation is notoriously difficult to solve, especially for the case of high wavenumber. The Restricted Additive Schwarz preconditioner with local impedance problems (often called the ORAS method) is arguably the most successful one-level parallel method for Helmholtz problems. This preconditioner can be applied on very general geometries, does not require parameter-tuning, and can even be robust to increasing wavenumber. To date, there is relatively little convergence analysis for this method. In the talk, I will present a novel analysis of the ORAS method.
报告人:龚世华(香港中文大学(深圳))
时间:2023年5月26日13:30 – 15:30
地点:海纳苑2幢204
报告人简介:Dr. Shihua Gong obtained his bachelor’s degree from Sun Yatsen University in 2013 and Ph.D. degree in computational mathematics from Peking University in 2018. Before joining The Chinese University of Hong Kong (Shenzhen), he worked as a postdoctoral scholar at Pennsylvania State University (2018-2019) and then as a research associate at the University of Bath (2019-2021). His research interests include scientific computing and numerical analysis, mainly focusing on finite element and preconditioning techniques for frequency-domain wave equations and coupled equations for multi-physics problems.