Jilu Wang
13 papers 85 citations h-index 3 2008–2025
Optimal error estimates of a Crank--Nicolson finite element projection method for magnetohydrodynamic equations
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 Galerkin finite...
Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data
A class of stochastic Besov spaces $B^p L^2(\Omega;\dot H^\alpha(\mathcal{O}))$, $1\le p\le\infty$ and $\alpha\in[-2,2]$, is introduced to characterize the regularity of the noise in the...
Optimal error estimates of a second-order projection finite element method for magnetohydrodynamic equations
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--Nicolson method is...
Detaching Range from Depth: Personalized Recommendation Meets Personalized PageRank
A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in 2D nonsmooth and nonconvex domains
A new fully discrete linearized $H^1$-conforming Lagrange finite element method is proposed for solving the two-dimensional magneto-hydrodynamics equations based on a magnetic potential...
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise
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, with finite element...
Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise
The stochastic time-fractional equation $\partial_t \psi -\Delta\partial_t^{1-\alpha} \psi = f + \dot W$ with space-time white noise $\dot W$ is discretized in time by a backward-Euler convolution...
Analysis of $L1$-Galerkin FEMs for time-fractional nonlinear parabolic problems
This paper is concerned with numerical solutions of time-fractional nonlinear parabolic problems by a class of $L1$-Galerkin finite element methods. The analysis of $L1$ methods for...
Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
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 stable and, under a...
Optimal ${L^2}$ error estimates for 2D/3D incompressible Cahn--Hilliard--magnetohydrodynamic equations
This paper focuses on an optimal error analysis of a fully discrete finite element scheme for the Cahn--Hilliard--magnetohydrodynamic (CH-MHD) system. The method use the standard inf-sup stable...
Convergence of Arbitrary Lagrangian-Eulerian Second-order Projection Method for the Stokes Equations on an Evolving Domain
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-order...