When
Where
Speaker: Armando Albornoz
Title: FDTD Based Method For Maxwell's Equations on Structures Quadrilateral Meshes
Abstract: We developed a novel 2D finite-difference time-domain (FDTD) solver for Maxwell's equations for solving electromagnetic problems on complicated geometries. This solver can be applied to fully anisotropic electric and magnetic media on unstructured quadrilateral meshes. The method uses the Piola transformation whose main property is that it preserves Maxwell's equations.
Using unstructured meshes requires that we take into account mesh orientation and introduces an anisotropic material tensor at every cell that involves the Jacobian of the transformation even in the case of homogeneous electric and magnetic materials.
The method overcomes the late time instability of previous non orthogonal FDTD methods by showing that the neutral stability is preserved under a Courant-type condition.
Bio: Armando Albornoz obtained a bachelor's degree in Mathematics Teaching from the Autonomous University of Yucatan in Merida, Mexico and a Master's degree in Applied Mathematics from CIMAT in Guanajuato, Mexico. His advisor is Moysey Brio.