Chaima Djouhina Belfedal: Numerical solution of a nonlinear plate equation

Directed Studies 1

2020/21 II. félév

Témavezető:
Karátson János (ELTE TTK, Alkalmazott Analízis és Számításmatematikai Tanszék)
Cím:
Numerical solution of a nonlinear plate equation
Beszámoló:
final_report.pdf
Előadás:
Presentation_pbOzx0D.pptx

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.