Comparison of Two-Dimensional Conformal Local Adiation Boundary Conditions

  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},
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… 
Local absorbing boundaries of elliptical shape for scalar waves
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
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
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
  • O. Ramahi
  • Mathematics
    IEEE 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
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
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
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
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
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 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.


Comparison of local radiation boundary conditions for the scalar Helmholtz equation with general boundary shapes
The relative accuracy of several local radiation boundary conditions based on the second-order Bayliss-Turkel (1980) condition are evaluated. These boundary conditions permit the approximate solution
Boundary conditions for the numerical solution of elliptic equations in exterior regions
Elliptic equations in exterior regions frequently require a boundary condition at infinity to ensure the well-posedness of the problem. Examples of practical applications include the Helmholtz
Theory and application of radiation boundary operators
A succinct unified review is provided of the theory of radiation boundary operators. With the recent introduction of the on-surface radiation condition (OSRC) method and the continued growth of
A review of absorbing boundary conditions for two and three-dimensional electromagnetic scattering problems
The derivation of two- and three-dimensional absorbing boundary conditions (ABCs) for mesh truncation in the partial differential equation solution of electromagnetic scattering problems is briefly
Modal Expansion Absorbing Boundary Conditions for Two-Dimensional Electromagnetic Scattering
  • Yun Li, Z. Cendes
  • Physics
    Digest of the Fifth Biennial IEEE Conference on Electromagnetic Field Computation
  • 1992
A novel absorbing boundary condition is developed using modal expansion basis functions. The main advantage of this procedure is that it is more accurate than the boundary condition proposed by A.
Applications and performance of a local conformal radiation boundary condition
The validity of the second order Bayliss-Turkel (BT) radiation boundary condition (RBC) representation is presented in terms of errors as a function of the order of a wavefunction representation and
Numerically derived absorbing boundary condition for the solution of open region scattering problems
An absorbing boundary condition is developed by means of a numerical approximation of the analytical behavior of the exact boundary condition. The boundary operator is more accurate than other
Analytic evaluation of the accuracy of several conformable local absorbing boundary conditions
A. Bayliss et al. (1982) (BT) have proposed an arbitrary order approximation based upon the Wilcox (1956) spherical wave function far-field expansion, for the case of a circular or spherical boundary
Measured equation of invariance: a new concept in field computations
Numerical computations of frequency domain field problems or elliptical partial differential equations may be based on differential equations or integral equations. The new concept of field
An efficient partial differential equation technique for solving the problem of scattering by objects of arbitrary shape
The solution of an open region scattering problem using partial differential equation techniques usually requires enclosing the scatterer by a circular outer boundary and applying an absorbing