Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
510862 | Computers & Structures | 2014 | 12 Pages |
This paper investigates the efficiency of a high-order nodal discontinuous Galerkin method for the numerical solution of Maxwell’s equations using hybrid meshes. An unstructured triangular or tetrahedral mesh is used near curved boundaries and a structured Cartesian mesh is used to fill the remainder of the domain. A quadrature-free implementation is employed for the regular quadrilateral and hexahedral elements which, together with the reduction in the number of internal faces, leads to a reduction in the cpu time requirements. Numerical examples in two and three dimensions are used to illustrate the benefits of using hybrid meshes.
► Hybrid meshes allow to combine geometric flexibility and computational efficiency. ► Saving in cpu time is highly dependent on the approximation order (p). ► In 3D hexahedra are between 7 and 15 times more efficient than tetrahedra.