Domain Discretization
Section 3 · Dividing continuous domains into finite elements
Domain Shape
Element Type
Mesh Density
Display
Metrics
0
Elements
0
Nodes
0
DOF
Concept
Domain discretization is the process of dividing a continuous domain Ω into a finite number of non-overlapping elements.
The mesh approximates the geometry and enables numerical solution of PDEs using the finite element method.
Key insight: Finer meshes give more accurate results but require more computation. The DOF count determines the size of the linear system to solve.
\( \Omega \approx \bigcup_{e=1}^{n_e} \Omega^e \)