Research-A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems

Research

Computational & Applied Math Seminar

A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems

Speaker: Guanyu Zhou (University of Electronic Science and Technology of China)
Time: May 14, 2021, 14:00-15:00
Location: Tencent Meeting ID 318 476 453, Passcode 210514

Abstract

A new time discretization method for strongly nonlinear parabolic systems is con- structed by combining the fully explicit two-step backward difference formula and a second-order stabilization of wave type. The proposed method linearizes and decouples a nonlinear parabolic system at every time level, with second-order consistency error. The convergence of the proposed method is proved by combining energy estimates for evolution equations of parabolic and wave types with the generating function technique that is popular in studying ordinary differential equations. Several numerical examples are provided to support the theoretical result.