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math.NA2021
Stable finite difference methods for Kirchhoff-Love plates on overlapping grids
Longfei Li, Hangjie Ji, Qi Tang
In this work, we propose and develop efficient and accurate numerical methods for solving the Kirchhoff-Love plate model in domains with complex geometries. The algorithms proposed…
math.NA2020★ 1 cited
Stable and accurate numerical methods for generalized Kirchhoff-Love plates
Duong T. A. Nguyen, Longfei Li, Hangjie Ji
Efficient and accurate numerical algorithms are developed to solve a generalized Kirchhoff-Love plate model subject to three common physical boundary conditions: (i) clamped; (ii)…
math.NA2019
A split-step finite-element method for incompressible Navier-Stokes equations with high-order accuracy up-to the boundary
Longfei Li
An efficient and accurate finite-element algorithm is described for the numerical solution of the incompressible Navier-Stokes (INS) equations. The new algorithm that solves the IN…