253 citations · 476 across the 75 of their papers we have counts for
4 papers · 1 filter
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…
Maximum-norm stability and maximal L^p regularity of FEMs for parabolic equations with Lipschitz continuous coefficients
Buyang Li
In this paper, we study the semi-discrete Galerkin finite element method for parabolic equations with Lipschitz continuous coefficients. We prove the maximum-norm stability of the…
Uniform BMO estimate of parabolic equations and global well-posedness of the thermistor problem
Buyang Li, Chaoxia Yang
Global well-posedness of the time-dependent (degenerate) thermistor problem remains open for many years. In this paper, we solve the problem by establishing a uniform-in-time BMO e…
Unconditionally optimal error analysis of fully discrete Galerkin methods for general nonlinear parabolic equations
Buyang Li, Weiwei Sun
The paper focuses on unconditionally optimal error analysis of the fully discrete Galerkin finite element methods for a general nonlinear parabolic system in with . I…