Numerical solution of a nonlinear plate equation
Témavezető: | Karátson János |
ELTE TTK, Alkalmazott Analízis és Számításmatematikai Tanszék | |
email: | karatson66@gmail.com |
Projekt leírás
The project consists of three parts:
- Understand the weak form of the nonlinear plate equation (a 4th order PDE) and prove that it has a unique weak solution.
- Theory for the numerical solution: construction and proof of convergence. It consists of finite element discretization, Newton linearization and conjugate gradient method.
- Write a Matlab code for a model problem on a square.