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报告人：Professor Weiwei Sun
City University of Hong Kong
报告题目：A new approach to error analysis of linearized Galerkin FEMs for nonlinear parabolic PDEs
报告时间：2012年12月4日，星期二 16:00 pm - 17:00pm
报告地点：海韵园实验楼105
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 time step restriction ofschemes 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, which 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 error analysis of linearized semi-implicit Galerkin FEMs for a large class of nonlinear parabolic PDEs.