2 citations · 3 across the 4 of their papers we have counts for
5 papers
Error estimates for the scalar auxiliary variable (SAV) scheme to the Cahn-Hilliard equation
Shu Ma, Weifeng Qiu, Xiaofeng Yang
The optimal error estimate that depending only on the polynomial degree of is established for the temporal semi-discrete scheme of the Cahn-Hilliard equation, w…
A semi-implicit low-regularity integrator for Navier-Stokes equations
Buyang Li, Shu Ma, Katharina Schratz
A new type of low-regularity integrator is proposed for Navier-Stokes equations, coupled with a stabilized finite element method in space. Unlike the other low-regularity integrato…
Analysis of fully discrete finite element methods for 2D Navier--Stokes equations with critical initial data
Buyang Li, Shu Ma, Yuki Ueda
First-order convergence in time and space is proved for a fully discrete semi-implicit finite element method for the two-dimensional Navier--Stokes equations with initial dat…
A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
Buyang Li, Shu Ma
A variable stepsize exponential multistep integrator, with contour integral approximation of the operator-valued exponential functions, is proposed for solving semilinear parabolic…
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation
Xiaobing Feng, Buyang Li, Shu Ma
A family of arbitrarily high-order fully discrete space-time finite element methods are proposed for the nonlinear Schrödinger equation based on the scalar auxiliary variable formu…