3 papers
math.NA2023
Error analysis of energy-conservative BDF2-FE scheme for the 2D Navier-Stokes equations with variable density
Jingjing Pan, Wentao Cai
In this paper, we present an error estimate of a second-order linearized finite element (FE) method for the 2D Navier-Stokes equations with variable density. In order to get error…
math.NA2019
A linearized energy--conservative finite element method for the nonlinear Schrödinger equation with wave operator
Wentao Cai, Dongdong He, Kejia Pan
In this paper, we propose a linearized finite element method (FEM) for solving the cubic nonlinear Schrödinger equation with wave operator. In this method, a modified leap-frog sch…
math.NA2018
Analysis of fully discrete FEM for miscible displacement in porous media with Bear--Scheidegger diffusion tensor
Wentao Cai, Buyang Li, Yanping Lin +1
Fully discrete Galerkin finite element methods are studied for the equations of miscible displacement in porous media with the commonly-used Bear--Scheidegger diffusion-dispersion…