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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Two-Grid Methods for Maxwell Eigenvalue Problems
TL;DR: Two new two-grid algorithms are proposed for solving the Maxwell eigenvalue problem and maintain asymptotically optimal accuracy, and the numerical experiments presented confirm the theoretical results.
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Optimal multilevel methods for graded bisection grids
TL;DR: It is shown that the design and analysis of optimal additive and multiplicative multilevel methods for solving H1 problems on graded grids obtained by bisection lead to optimal complexity for any dimensions and polynomial degree.
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Multigrid Methods for the Stokes Equations using Distributive Gauss---Seidel Relaxations based on the Least Squares Commutator
Ming Wang,Long Chen +1 more
TL;DR: An efficient multigrid method for finite element discretizations of the Stokes equations on both structured grids and unstructured grids and a distributive Gauss–Seidel relaxation as a smoother is shown to be very efficient and outperforms the popular block preconditioned Krylov subspace methods.
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A coarsening algorithm on adaptive grids by newest vertex bisection and its applications
Long Chen,Chen-Song Zhang +1 more
TL;DR: An efficient and easy-to-implement coarsening algorithm is proposed for adaptive grids obtained using the newest vertex bisection method in two dimemsions that is efficient when applied for multilevel preconditioners and mesh adaptivity for time-dependent problems.
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A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes
Long Chen,Long Chen,Feng Wang +2 more
TL;DR: Some virtual element methods on polytopal meshes for the Stokes problem are proposed and analyzed, and the main feature is that it exactly preserves the divergence free constraint, and therefore the error estimates for the velocity does not explicitly depend on the pressure.