Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations
SIAM Journal on Numerical Analysis
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
On the construction and analysis of absorbing layers in CEM
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
SIAM Journal on Numerical Analysis
Ultraconvergence of the patch recovery technique II
Mathematics of Computation
Field Computation by Moment Methods
Field Computation by Moment Methods
High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
Journal of Computational Physics
Journal of Computational Physics
Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
Journal of Computational Physics
Journal of Computational Physics
Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
Journal of Computational Physics
Overlapping Yee FDTD Method on Nonorthogonal Grids
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Meshfree Particle Methods in the Framework of Boundary Element Methods for the Helmholtz Equation
Journal of Scientific Computing
Journal of Scientific Computing
Hi-index | 31.49 |
We propose a new upwinding embedded boundary method to solve time dependent Maxwell's equations in media with material interfaces. A global second order finite difference method is obtained by combining central difference schemes away from the interfaces and upwinding technique with jump conditions near the interfaces. The proposed finite difference method allows time step based on a uniform mesh independent of the locations and shapes of the interfaces. Moreover, the scheme is simple to implement in multidimensional cases. Numerical tests of wave equations with various types of material interfaces and electromagnetic scattering of 2D cylinders confirm the stability, uniform accuracy and ease of implementation of the method.