L
Long Chen
Researcher at University of California, Irvine
Publications - 117
Citations - 2858
Long Chen is an academic researcher from University of California, Irvine. The author has contributed to research in topics: Finite element method & Multigrid method. The author has an hindex of 27, co-authored 105 publications receiving 2332 citations. Previous affiliations of Long Chen include University of California, San Diego & Beijing University of Technology.
Papers
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The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation
TL;DR: This article apparently gives the first rigorous convergence result for a numerical discretization technique for the nonlinear Poisson-Boltzmann equation with delta distribution sources, and it introduces the first provably convergent adaptive method for the equation.
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Optimal anisotropic meshes for minimizing interpolation errors in $L^p$-norm
Long Chen,Pengtao Sun,Jinchao Xu +2 more
TL;DR: This paper presents a new optimal interpolation error estimate in L p norm (1 < p ≤ ∞) for finite element simplicial meshes in any spatial dimension and gives new functionals for the global moving mesh method.
Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations.
TL;DR: The computational cost of proposed new mesh smoothing schemes in the isotropic case is as low as Laplacian smoothing while the error-based mesh quality is provably improved.
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An interface-fitted mesh generator and virtual element methods for elliptic interface problems ☆
TL;DR: A simple and efficient interface-fitted mesh generation algorithm which can produce a semi-structured interface- fitted mesh in two and three dimensions quickly is developed in this paper.