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# practice_fem

#### Introduction
Coding practice of the online course (Nov. 2020 -- Apr. 2021) ‘__Introduction and Basic Implementation for Finite Element Method__’, which is taught by Prof. Xiaoming He from Missouri University of Science & Technology.

#### Contents
| File | Description |
| :-: | :- |
| HW1.m             | Solve 1D elliptic equation by linear elements with Dirichlet BC.  |
| HW2.m             | Solve 1D elliptic equation by quadratic elements with Dirichlet BC. |
| HW3.m             | Solve 1D elliptic equation by quadratic elements with Robin BC. | 
| HW5_linear.m      | Solve 2D elliptic equation by linear elements with Dirichlet BC. |
| HW5_quad.m        | Solve 2D elliptic equation by quadratic elements with Dirichlet BC. |
| HW6_ex2_linear.m  | Solve 2D elliptic equation by linear elements with Dirichlet & Neumann BC. |
| HW6_ex2_quad.m    | Solve 2D elliptic equation by quadratic elements with Dirichlet & Neumann BC. |
| HW6_ex3_linear.m  | Solve 2D elliptic equation by linear elements with Dirichlet & Robin BC. |
| HW6_ex3_quad.m    | Solve 2D elliptic equation by quadratic elements with Dirichlet & Robin BC. |
| HW7_linear.m      | Solve 2D parabolic equation by linear elements with Dirichlet BC (theta-method for time-stepping). |
| HW7_quad.m        | Solve 2D parabolic equation by quadratic elements with Dirichlet BC (theta-method for time-stepping). |
| HW8_linear.m      | Solve 2D steady linear elasticity equation by linear elements with Dirichlet BC. |
| HW8_quad.m        | Solve 2D steady linear elasticity equation by quadratic elements with Dirichlet BC. |
| HW9.m             | Solve 2D steady Stokes equation by Taylor-Hood elements with Dirichlet BC. |
| HW10.m            | Solve 2D steady Navier-Stokes equation by Taylor-Hood elements with Dirichlet BC. |
| HW11.m            | Solve 2D unsteady Stokes equation by Taylor-Hood elements with Dirichlet BC (theta-method for time-stepping). |
| HW12.m            | Solve 2D unsteady Navier-Stokes equation by Taylor-Hood elements with Dirichlet BC (backward-Euler for time-stepping). |

#### Usage

Each file can be run as a Matlab script independently.

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提交于 2021-10-08 05:41 . update README.md.

# practice_fem

#### Introduction
Coding practice of the online course (Nov. 2020 -- Apr. 2021) ‘__Introduction and Basic Implementation for Finite Element Method__’, which is taught by Prof. Xiaoming He from Missouri University of Science & Technology.


#### Contents
| File | Description |
| :-: | :- |
| HW1.m             | Solve 1D elliptic equation by linear elements with Dirichlet BC.  |
| HW2.m             | Solve 1D elliptic equation by quadratic elements with Dirichlet BC. |
| HW3.m             | Solve 1D elliptic equation by quadratic elements with Robin BC. | 
| HW5_linear.m      | Solve 2D elliptic equation by linear elements with Dirichlet BC. |
| HW5_quad.m        | Solve 2D elliptic equation by quadratic elements with Dirichlet BC. |
| HW6_ex2_linear.m  | Solve 2D elliptic equation by linear elements with Dirichlet & Neumann BC. |
| HW6_ex2_quad.m    | Solve 2D elliptic equation by quadratic elements with Dirichlet & Neumann BC. |
| HW6_ex3_linear.m  | Solve 2D elliptic equation by linear elements with Dirichlet & Robin BC. |
| HW6_ex3_quad.m    | Solve 2D elliptic equation by quadratic elements with Dirichlet & Robin BC. |
| HW7_linear.m      | Solve 2D parabolic equation by linear elements with Dirichlet BC (theta-method for time-stepping). |
| HW7_quad.m        | Solve 2D parabolic equation by quadratic elements with Dirichlet BC (theta-method for time-stepping). |
| HW8_linear.m      | Solve 2D steady linear elasticity equation by linear elements with Dirichlet BC. |
| HW8_quad.m        | Solve 2D steady linear elasticity equation by quadratic elements with Dirichlet BC. |
| HW9.m             | Solve 2D steady Stokes equation by Taylor-Hood elements with Dirichlet BC. |
| HW10.m            | Solve 2D steady Navier-Stokes equation by Taylor-Hood elements with Dirichlet BC. |
| HW11.m            | Solve 2D unsteady Stokes equation by Taylor-Hood elements with Dirichlet BC (theta-method for time-stepping). |
| HW12.m            | Solve 2D unsteady Navier-Stokes equation by Taylor-Hood elements with Dirichlet BC (backward-Euler for time-stepping). |


#### Usage

Each file can be run as a Matlab script independently.

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