Finite Element Method (FEM) & Comsol Multiphysics Part II ...
Finite Element Method (FEM) & Comsol Multiphysics Part II ...
Finite Element Method (FEM) & Comsol Multiphysics Part II ...
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<strong>Finite</strong> <strong>Element</strong> <strong>Method</strong> (<strong>FEM</strong>) & <strong>Comsol</strong> <strong>Multiphysics</strong><br />
<strong>Part</strong> <strong>II</strong>: Electrodynamic Fields<br />
A. Rennings<br />
Outline<br />
2<br />
1
Repetition: <strong>FEM</strong> for electrostatics<br />
Today’s topics<br />
4<br />
2
Vector wave equation - time-harmonic waves in 3D<br />
Weak form of the vector wave equation<br />
5<br />
6<br />
3
A simple approach that does not work –<br />
scalar basis functions for each component<br />
A better approach - vector (or edge) elements<br />
7<br />
8<br />
4
Node-based elements can still be useful<br />
example: in-plane TE waves<br />
Some common elements<br />
used by default in <strong>Comsol</strong> <strong>Multiphysics</strong><br />
9<br />
10<br />
5
Approximating a sine-wave with polynomials<br />
Degrees of freedom and memory demand<br />
11<br />
12<br />
6
Practical limitations - two trivial but fairly large examples<br />
Practical limitations - possible problems<br />
13<br />
14<br />
7
RF module overview: application modes in 3D<br />
RF module overview: important application modes in 2D<br />
15<br />
16<br />
8
Applicability of <strong>FEM</strong>/<strong>Comsol</strong>?<br />
Demo 1: Monopole antenna - setup<br />
17<br />
18<br />
9
Demo 1: Monopole antenna – important aspects<br />
Demo 1: Monopole antenna - results<br />
19<br />
20<br />
10
Demo 1: Monopole antenna - results<br />
Demo 2: Waveguide filter - setup<br />
later, we may simulate the same structure with FDTD/EMPIRE!<br />
check the time for the simulations<br />
21<br />
22<br />
11
Demo 2: Waveguide filter – important aspects<br />
Demo 2: Waveguide filter - results<br />
23<br />
24<br />
12
next lecture…<br />
FDTD & EMPIRE: The Basics<br />
next COMSOL-Tutorial on Tuesday 17.11.09<br />
5 pm in BA328<br />
“<strong>FEM</strong> simulations of electrodynamic fields”<br />
25<br />
13
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