A mass-lumped mixed finite element method for Maxwell's equations
It provides a variational extension of the widely used Yee scheme for more complex geometries and materials, addressing a known bottleneck in computational electromagnetics.
The paper proposes a mass-lumping strategy for mixed finite element approximation of Maxwell's equations that generalizes the Yee scheme to unstructured grids and anisotropic materials, preserving its efficiency.
A novel mass-lumping strategy for a mixed finite element approximation of Maxwell's equations is proposed. On structured orthogonal grids the resulting method coincides with the spatial discretization of the Yee scheme. The proposed method, however, generalizes naturally to unstructured grids and anisotropic materials and thus yields a variational extension of the Yee scheme for these situations.