253 citations · 476 across the 75 of their papers we have counts for
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Numerical approximation of discontinuous solutions of the semilinear wave equation
Jiachuan Cao, Buyang Li, Yanping Lin +1
A high-frequency recovered fully discrete low-regularity integrator is constructed to approximate rough and possibly discontinuous solutions of the semilinear wave equation. The pr…
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property
Buyang Li, Zongze Yang, Zhi Zhou
In contrast with the diffusion equation which smoothens the initial data to for (away from the corners/edges of the domain), the subdiffusion equation only exhibit…
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…
Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data
Xinping Gui, Buyang Li, Jilu Wang
A class of stochastic Besov spaces , and , is introduced to characterize the regularity of the noise in the semiline…
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…