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math.NA2022
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-…
math.NA2022
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…