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邀请, 香港城市大学数学系孙伟伟教授将于2013年6月26日来校访问并做学术报告。
报告题目: A New Approach to FEM Analysis for FEMs for Nonlinear Parabolic PDEs
时 间: 2013年6月26日上午10:10
地 点: 中2-2242
报告摘要：
Linearized (semi)-implicit schemes are the most commonly-used approximations in numerical solution of nonlinear parabolic equations since at each time step, the schemes only require the solution of a linear system. However the time step restriction condition of schemes is always a key issue in analysis and computation. For many nonlinear parabolic systems, error analysis of Galerkin finite element methods (or finite difference method) with linearized semi-implicit schemes in the time direction often requires certain time step conditions. Such time-step conditions may result in the use of a very small time step and extremely time-consuming in practical computations. In this talk, we introduce a new approach to unconditional stabiltity and optimal error analysis of linearized semi-implicit Galerkin FEMs for a large class of nonlinear parabolic PDEs.
欢迎广大教师和研究生参与。
