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Optimal error analysis of a loosely coupled finite element scheme for thin-structure interactions
Buyang Li, Weiwei Sun, Yupei Xie +1
Finite element methods and kinematically coupled schemes that decouple the fluid velocity and structure displacement have been extensively studied for incompressible fluid-structur…
Optimal analysis of finite element methods for the stochastic Stokes equations
Buyang Li, Shu Ma, Weiwei Sun
Numerical analysis for the stochastic Stokes equations is still challenging even though it has been well done for the corresponding deterministic equations. In particular, the pre-…
New analysis of Mixed finite element methods for incompressible Magnetohydrodynamics
Yuchen Huang, Weifeng Qiu, Weiwei Sun
The paper focuses on a new error analysis of a class of mixed FEMs for stationary incompressible magnetohydrodynamics with the standard inf-sup stable velocity-pressure space pairs…
Linearized FE approximations to a nonlinear gradient flow
Buyang Li, Weiwei Sun
We study fully discrete linearized Galerkin finite element approximations to a nonlinear gradient flow, applications of which can be found in many areas. Due to the strong nonlinea…