56 citations · 368 across the 53 of their papers we have counts for
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math.NA2010★ 3 cited
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…
math.NA2010
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…
math.NA2010
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…