A new family of mixed finite elements in IR3
Numerische Mathematik
On a finite-element method for solving the three-dimensional Maxwell equations
Journal of Computational Physics
On some techniques for approximating boundary conditions in the finite element method
Modelling 94 Proceedings of the 1994 international symposium on Mathematical modelling and computational methods
Journal of Computational Physics
Nodal high-order methods on unstructured grids
Journal of Computational Physics
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator
SIAM Journal on Numerical Analysis
Hodge decomposition to solve singular static Maxwell's equations in a non-convex polygon
Applied Numerical Mathematics
A Nitsche type method for stress fields calculation in dissimilar material with interface crack
Applied Numerical Mathematics
Hi-index | 31.45 |
In this paper, we propose and analyze a method derived from a Nitsche approach for handling boundary conditions in the Maxwell equations. Several years ago, the Nitsche method was introduced to impose weakly essential boundary conditions in the scalar Laplace operator. Then, it has been worked out more generally and transferred to continuity conditions. We propose here an extension to vector div-curl problems. This allows us to solve the Maxwell equations, particularly in domains with reentrant corners, where the solution can be singular. We formulate the method for both the electric and magnetic fields and report some numerical experiments.