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Finite Elements and Finite Differences

Simple Matlab Project which implements Finite Elements and Finite Differences to solve (one-dimensional) differential equations with Matlab. Based on the Lecture Mathematik Fachvertiefung at TU Wien.

Structure

  • Doc : All the documentation stuff is written in Latex and stored here. Everything is written in German.
  • Matlab: Here all matlab scripts and outputs are saved.
  • Netgen: Some results using Netgen and Matlab's pdetool.

Content

Matlab/FDM.m Calculates the distribution of the electrical field inside a cylincracal capacitor using Finite Differences.

Matlab/FEM.m Example of the 1D wave-equation with a fixed and free end. Solved with Finite Elements and Time-Stepping.

Details in the Documentation (german).

Examples

Wave

Wave Equation Animation

ToDo's

Increasing rounding (?) errors lead to instabilities for long FEM simulations.

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Simple Matlab Project to solve (one-dimensional) differential equations.

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