FEMdemo

有限元讨论班的代码。 参考教材：Jacob Fish 和 Ted Belytschko 的《A First Course in Finite Elements》。 您可以去 b-ok.cc（可能需要翻墙）或者 清华网盘 下载。

Demo codes for FEM (Finite Element Method) workshop. We are following A First Course in Finite Elements by Jacob Fish and Ted Belytschko.

Part 1: Finite element formulation for one-dimensional problems

• Part1.ipynb

  一维梁的拉伸（或压缩），截面均匀和不均匀情况。 Tensile of 1D beams with uniform and non-uniform cross-section.

  视频讲解：b站, Youtube

Part 2: Finite element formulation for scalar field problems in multidimensions

• Example8-1.ipynb, Example8-2.ipynb

  参考教材的两道例题，三角形网格和四边形上的二维热传导方程，使用 SymPy 辅助推导。 Example 8.1 and 8.2 of Fish's A First Course in Finite Elements in which a heat conduction problem is solved. SymPy is used for symbolic computations.

  视频讲解：b站

• two_dim_heat.py by soundsinteresting

  二维圆盘的热传导方程，三角网格。 Heat equation for a 2d disk with triangular mesh.

  视频讲解：b站

• Part2.ipynb

  二维热传导方程，四边形网格。网格在 square5x5.ply 中。 2D heat conduction with quadrilateral mesh. One can find the mesh we used in square5x5.ply.

  视频讲解：b站

Part 3: Finite element formulation for vector field problems in two dimensions

• Beam3D.py and Beam3D.ipynb by soundsinteresting

  三维杆的弯曲，三角形网格。网格数据在 Beam.*.vtk 中。 Bend of 3-dim beam with tetrahedron mesh. One can find the mesh we used in Beam.*.vtk.

• doing by dashu233

  纳维斯托克斯方程

Miscellaneous

• packages-compare.md

  选择各种 Python 包的笔记。 Notes about choosing Python packages.