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math.NA2023
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…
math.NA2023
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra
Buyang Li, Weifeng Qiu, Yupei Xie +1
The weak maximum principle of the isoparametric finite element method is proved for the Poisson equation under the Dirichlet boundary condition in a (possibly concave) curvilinear…
math.NA2017
Energy estimates for two-dimensional space-Riesz fractional wave equation
Minghua Chen, Wenshan Yu
The fractional wave equation governs the propagation of mechanical diffusive waves in viscoelastic media which exhibits a power-law creep, and consequently provided a physical inte…