A posteriori error estimate
of the discontinuous Galerkin method with
Lagrange multiplier for elliptic problems
报告专家：Mi-Young Kim 教授 （仁荷大学）
报告时间：4月13日（周一)10:30-11:30
报告地点：四川大学数学学院西202
报告摘要：
The discontinuous Galerkin method with Lagrange multipliers (DGLM) augments discontinuous Galerkin discretizations with skeletal multipliers on element interfaces, leading to a hybridized block system in which solution variables are updated elementwise and multipliers edgewise. This structure enables efficient and naturally parallel high-order schemes.
In this talk, we derive and analyze an a posteriori error estimator for DGLM applied to elliptic problems with nonsmooth Dirichlet boundary conditions. A general formulation of the DGLM method is presented, and strong stability of the discrete solution is established. An edgewise iterative scheme for the resulting DGLM system is also described.
专家简介：
Mi-Young Kim is a Professor at Inha University working in the numerical analysis of partial differential equations. She received her Ph.D. from Purdue University and has held research and academic positions in the United States and Europe. Her research focuses on finite element and discontinuous Galerkin methods for PDEs. She developed the discontinuous Galerkin method with Lagrange multipliers (DGLM) and has contributed to its analysis and the development of efficient solvers, including high-order schemes and iterative methods for elliptic and hyperbolic problems. She has given several invited talks at international conferences, including a plenary lecture at ICOSAHOM 2023.
邀请人：郭汝驰
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