SUMMARY
Higher order rectangular edge elements are available for solving electromagnetic problems using the finite element method. Notable examples include the Serendipity element, Lagrange element, and Hermite element, all of which provide higher order interpolation and additional degrees of freedom compared to first order triangular edge elements. These elements feature nodal points at the midpoints of the edges, enhancing the accuracy of vector field representation. Selecting the appropriate element is crucial for achieving precise results in finite element analyses.
PREREQUISITES
- Understanding of finite element method (FEM)
- Familiarity with electromagnetic problem-solving techniques
- Knowledge of edge-based elements, specifically Nedelec and Whitney elements
- Experience with higher order interpolation methods
NEXT STEPS
- Research the properties and applications of Serendipity elements in FEM
- Learn about Lagrange and Hermite elements for vector field representation
- Explore the implementation of higher order edge elements in software like ANSYS or COMSOL
- Study the differences between triangular and rectangular edge elements in FEM
USEFUL FOR
Researchers, engineers, and students involved in computational electromagnetics, finite element method practitioners, and anyone interested in advanced numerical techniques for solving electromagnetic problems.