3 papers
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
A parallel cut-cell algorithm for the free-boundary Grad-Shafranov problem
Shuang Liu, Qi Tang, Xian-Zhu Tang
A parallel cut-cell algorithm is described to solve the free-boundary problem of the Grad-Shafranov equation. The algorithm reformulates the free-boundary problem in an irregular b…
math.NA2020
An adaptive discontinuous Petrov-Galerkin method for the Grad-Shafranov equation
Zhichao Peng, Qi Tang, Xian-Zhu Tang
In this work, we propose and develop an arbitrary-order adaptive discontinuous Petrov-Galerkin (DPG) method for the nonlinear Grad-Shafranov equation. An ultraweak formulation of t…