# Comparison of Two-Dimensional Conformal Local Adiation Boundary Conditions

@article{Lichtenberg1996ComparisonOT, title={Comparison of Two-Dimensional Conformal Local Adiation Boundary Conditions}, author={Bernd Lichtenberg and Kevin J. Webb and Douglas B. Meade and Andrew F. Peterson}, journal={Electromagnetics}, year={1996}, volume={16}, pages={359-384} }

ABSTRACT Numerical solutions for openndash;region electromagnetic problems based on differential equations require some means of truncating the computational domain. A number of local Radiation Boundary Conditions (RBCs) for general boundary shapes have been proposed during the past decade. Many are generalizations of the Baylissndash;Turkel RBC for circular truncation boundaries. Tbis paper reviews several twondash;dimensional RBCs for general truncation boundaries. The RBCs are evaluated on…

## 13 Citations

Local absorbing boundaries of elliptical shape for scalar waves

- Mathematics
- 2004

We discuss the performance of a family of local and weakly-non-local in space and time absorbing boundary conditions, prescribed on truncation boundaries of elliptical shape for the solution of the…

Local absorbing boundary conditions for elliptical shaped boundaries

- Mathematics, Computer ScienceJ. Comput. Phys.
- 2008

This work compares several local absorbing boundary conditions for solving the Helmholtz equation by a finite difference or finite element method, exterior to a general scatterer, and introduces a new boundary condition for an ellipse based on a modal expansion.

Absorbing boundary conditions for convex object-conformable boundaries

- Mathematics
- 1999

Absorbing boundary conditions (ABCs) are developed that can be applied on object-conformable outer boundaries. The new ABCs are based on the local enforcement of the Nth order Bayliss-Turkel boundary…

Absorbing boundary conditions for convex object-conformable boundaries

- MathematicsIEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010)
- 1999

Presents the development of a new class of absorbing boundary conditions (ABCs) that can be applied on non-circular convex mesh termination boundaries. The new ABCs are based on the exact application…

Local absorbing boundaries of elliptical shape for scalar wave propagation in a half-plane

- Mathematics
- 2004

We have recently discussed the performance of local second-order two-dimensional absorbing boundary conditions of elliptical shape for scattering and radiation problems involving sound-hard obstacles…

Symmetrized Method with Optimized Second-Order Conditions for the Helmholtz Equation

- 1998

A schwarz type domain decomposition method for the Helmholtz equation is considered. The interface conditions involve second order tangential derivatives which are optimized (OO2, Optimized Order 2)…

Robin Schwarz algorithm for the NICEM Method: the Pq finite element case

- Mathematics
- 2014

In Gander et al. [2004] we proposed a new non-conforming domain decomposition paradigm, the New Interface Cement Equilibrated Mortar (NICEM) method, based on Schwarz type methods that allows for the…

Robin Schwarz Algorithm for the NICEM Method: The $\mathbf{P}_q$ Finite Element Case

- Mathematics, Computer ScienceSIAM J. Numer. Anal.
- 2014

New numerical analysis results are provided that allow us to extend this error analysis in two dimensions for piecewise polynomials of higher order and also prove the convergence of the iterative algorithm in all these cases.

An optimized order 2 (OO2) method for the Helmholtz equation

- Mathematics
- 1998

Abstract A Schwarz type domain decomposition method for the Helmholtz equation is considered. The interface conditions involve second order tangential derivatives which are optimized (OO2, optimized…

A NEW INTERFACE CEMENT EQUILIBRATED MORTAR (NICEM) METHOD WITH ROBIN INTERFACE CONDITIONS: THE P1 FINITE ELEMENT CASE

- Computer Science
- 2013

A new non-conforming domain decomposition method, named the NICEM method, based on Schwarz-type approaches that allows for the use of Robin interface conditions on non- conforming grids and is proven to be well posed.

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