Add to ORKGWe consider a divergence-free non-dissipative fourth-order explicit staggered finite difference scheme for the hyperbolic Maxwell's equations. Special one-sided difference operators are derived in order to implement the scheme near metal boundaries and dielectric interfaces. Numerical results show the scheme is long-time stable, and is fourth-order convergent over complex domains that include dielectric interfaces and perfectly conducting surfaces. We also examine the scheme's behavior near metal surfaces that are not aligned with the grid axes, and compare its accuracy to that obtained by the Yee scheme
To discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain ...
We discuss the formulation, validation, and parallel performance of a high-order accurate method for...
A Discontinuous Galerkin method is used for to the numerical solution of the time-domain Maxwell equ...
We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference sche...
AbstractA new explicit fourth-order accurate staggered finite-difference time-domain (FDTD) scheme i...
Abstract — A long-stencil fourth order finite difference method over a Yee-grid is developed to sol...
Multi-step high-order finite difference schemes for infinite dimensional Hamiltonian systems with sp...
We study the stability properties of, and the phase error present in, several higher order (in space...
High-order time-stable boundary operators for perfectly electrically conducting (PEC) surfaces are p...
Abstract. In this paper, we present a new fourth-order upwinding embedded boundary method (UEBM) ove...
For wave propagation over distances of many wavelengths, high-order finite difference methods on sta...
We investigate higher order SBP-SAT discretizations of the wave equation for T-junction domains. We ...
Graduation date: 2009In this thesis, we investigate the problem of simulating Maxwell's equations in...
A convergent second-order Cartesian grid finite difference scheme for the solution of Maxwell’s equa...
We present a comparative study of numerical algorithms to solve the time-dependent Maxwell equations...
To discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain ...
We discuss the formulation, validation, and parallel performance of a high-order accurate method for...
A Discontinuous Galerkin method is used for to the numerical solution of the time-domain Maxwell equ...
We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference sche...
AbstractA new explicit fourth-order accurate staggered finite-difference time-domain (FDTD) scheme i...
Abstract — A long-stencil fourth order finite difference method over a Yee-grid is developed to sol...
Multi-step high-order finite difference schemes for infinite dimensional Hamiltonian systems with sp...
We study the stability properties of, and the phase error present in, several higher order (in space...
High-order time-stable boundary operators for perfectly electrically conducting (PEC) surfaces are p...
Abstract. In this paper, we present a new fourth-order upwinding embedded boundary method (UEBM) ove...
For wave propagation over distances of many wavelengths, high-order finite difference methods on sta...
We investigate higher order SBP-SAT discretizations of the wave equation for T-junction domains. We ...
Graduation date: 2009In this thesis, we investigate the problem of simulating Maxwell's equations in...
A convergent second-order Cartesian grid finite difference scheme for the solution of Maxwell’s equa...
We present a comparative study of numerical algorithms to solve the time-dependent Maxwell equations...
To discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain ...
We discuss the formulation, validation, and parallel performance of a high-order accurate method for...
A Discontinuous Galerkin method is used for to the numerical solution of the time-domain Maxwell equ...