211 citations · 218 across the 9 of their papers we have counts for
9 papers
Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
Georgios Akrivis, Sören Bartels, Michele Ruggeri +1
We construct and analyze a projection-free linearly implicit method for the approximation of flows of harmonic maps into spheres. The proposed method is unconditionally energy stab…
Convergence of Arbitrary Lagrangian-Eulerian Second-order Projection Method for the Stokes Equations on an Evolving Domain
Qiqi Rao, Jilu Wang, Yupei Xie
The numerical solution of the Stokes equations on an evolving domain with a moving boundary is studied based on the arbitrary Lagrangian-Eulerian finite element method and a second…
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…
Optimal error estimates of a Crank--Nicolson finite element projection method for magnetohydrodynamic equations
Cheng Wang, Jilu Wang, Zeyu Xia +1
In this paper, we propose and analyze a fully discrete finite element projection method for the magnetohydrodynamic (MHD) equations. A modified Crank--Nicolson method and the Galer…
Optimal error estimates of a second-order projection finite element method for magnetohydrodynamic equations
Cheng Wang, Jilu Wang, Zeyu Xia +1
In this paper, we propose and analyze a temporally second-order accurate, fully discrete finite element method for the magnetohydrodynamic (MHD) equations. A modified Crank--Nicols…
A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in 2D nonsmooth and nonconvex domains
Buyang Li, Jilu Wang, Liwei Xu
A new fully discrete linearized -conforming Lagrange finite element method is proposed for solving the two-dimensional magneto-hydrodynamics equations based on a magnetic pote…
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise
Max Gunzburger, Buyang Li, Jilu Wang
Numerical approximation of a stochastic partial integro-differential equation driven by a space- time white noise is studied by truncating a series representation of the noise, wit…
Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise
Max Gunzburger, Buyang Li, Jilu Wang
The stochastic time-fractional equation with space-time white noise is discretized in time by a backward-Euler convolution q…
Analysis of -Galerkin FEMs for time-fractional nonlinear parabolic problems
Dongfang Li, Hong-lin Liao, Weiwei Sun +2
This paper is concerned with numerical solutions of time-fractional nonlinear parabolic problems by a class of -Galerkin finite element methods. The analysis of methods fo…