1 citations · 2 across the 5 of their papers we have counts for
5 papers
Optimal error estimates of the diffuse domain method for semilinear parabolic equations
Yuejin Xu
In this paper, we mainly discuss the convergence behavior of diffuse domain method (DDM) for solving semilinear parabolic equations with Neumann boundary condition defined in gener…
Optimal error estimates of the diffuse domain method for parabolic equations
Wenrui Hao, Lili Ju, Yuejin Xu
In this paper, we study the convergence behavior of the diffuse domain method (DDM) for solving a class of second-order parabolic partial differential equations with Neumann bounda…
A Parareal exponential integrator finite element method for linear parabolic equations
Jianguo Huang, Yuejin Xu
In this paper, for solving a class of linear parabolic equations in rectangular domains, we have proposed an efficient Parareal exponential integrator finite element method. The pr…
Exponential integrator Fourier Galerkin methods for semilinear parabolic equations
Jianguo Huang, Yuejin Xu
In this paper, in order to improve the spatial accuracy, the exponential integrator Fourier Galerkin method (EIFG) is proposed for solving semilinear parabolic equations in rectang…
Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations
Jianguo Huang, Lili Ju, Yuejin Xu
In this paper, we propose an efficient exponential integrator finite element method for solving a class of semilinear parabolic equations in rectangular domains. The proposed metho…