253 citations · 476 across the 75 of their papers we have counts for
7 papers · 2 filters
Convergence of finite elements on an evolving surface driven by diffusion on the surface
Balázs Kovács, Buyang Li, Christian Lubich +1
For a parabolic surface partial differential equation coupled to surface evolution, convergence of the spatial semidiscretization is studied in this paper. The velocity of the evol…
An Analysis of the Crank-Nicolson Method for Subdiffusion
Bangti Jin, Buyang Li, Zhi Zhou
In this work, we analyze a Crank-Nicolson type time stepping scheme for the subdiffusion equation, which involves a Caputo fractional derivative of order in time. It h…
Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity
Peer C. Kunstmann, Buyang Li, Christian Lubich
For a large class of fully nonlinear parabolic equations, which include gradient flows for energy functionals that depend on the solution gradient, the semidiscretization in time b…
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations
Georgios Akrivis, Buyang Li, Christian Lubich
We analyze fully implicit and linearly implicit backward difference formula (BDF) methods for quasilinear parabolic equations, without making any assumptions on the growth or decay…
Maximum norm analysis of implicit-explicit backward difference formulas for nonlinear parabolic equations
Georgios Akrivis, Buyang Li
We establish optimal order a priori error estimates for implicit-explicit BDF methods for abstract semilinear parabolic equations with time-dependent operators in a complex Banach…
Discrete maximal regularity of time-stepping schemes for fractional evolution equations
Bangti Jin, Buyang Li, Zhi Zhou
In this work, we establish the maximal -regularity for several time stepping schemes for a fractional evolution model, which involves a fractional derivative of order $α\in…
Convergence of a decoupled mixed FEM for the dynamic Ginzburg--Landau equations in nonsmooth domains with incompatible initial data
Buyang Li
In this paper, we propose a fully discrete mixed finite element method for solving the time-dependent Ginzburg--Landau equations, and prove the convergence of the finite element so…