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:

  1. Understand the weak form of the nonlinear plate equation (a 4th order PDE) and prove that it has a unique weak solution.
  2. Theory for the numerical solution: construction and proof of convergence. It consists of finite element discretization, Newton linearization and conjugate gradient method.
  3. Write a Matlab code for a model problem on a square.

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