155 citations · 987 across the 104 of their papers we have counts for
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Local Multilevel Preconditioners for Elliptic Equations with Jump Coefficients on Bisection Grids
Long Chen, Michael Holst, Jinchao Xu +1
The goal of this paper is to design optimal multilevel solvers for the finite element approximation of second order linear elliptic problems with piecewise constant coefficients on…
A Nonconforming Finite Element Method for Fourth Order Curl Equations in R^3
Bin Zheng, Qiya Hu, Jinchao Xu
In this paper we present a nonconforming finite element method for solving fourth order curl equations in three dimensions arising from magnetohydrodynamics models. We show that th…
Convergence and Optimality of Adaptive Mixed Finite Element Methods
Long Chen, Michael Holst, Jinchao Xu
The convergence and optimality of adaptive mixed finite element methods for the Poisson equation are established in this paper. The main difficulty for mixed finite element methods…
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation
Long Chen, Michael Holst, Jinchao Xu
A widely used electrostatics model in the biomolecular modeling community, the nonlinear Poisson-Boltzmann equation, along with its finite element approximation, are analyzed in th…