Elemental matrices for the finite element method in electromagnetics with quadratic triangular elements

TL;DR

This paper provides analytically derived elemental matrices for quadratic triangular elements, enhancing the finite element method's accuracy in electromagnetics involving complex media.

Contribution

It introduces a set of elemental matrices for quadratic triangular elements, improving finite element simulations in advanced electromagnetic applications.

Findings

Analytical expressions for elemental matrices are derived.

Quadratic triangular elements improve simulation accuracy.

Matrices are applicable to anisotropic media and metamaterials.

Abstract

The finite element method has become a preeminent simulation technique in electromagnetics. For problems involving anisotropic media and metamaterials, proper algorithms should be developed. It has been proved that discretizing in quadratic triangular elements may lead to an improved accuracy. Here we present a collection of elemental matrices evaluated analytically for quadratic triangular elements. They could be useful for the finite element method in advanced electromagnetics.