TY - JOUR
T1 - Local absorbing boundary conditions for elliptical shaped boundaries
AU - Medvinsky, M.
AU - Turkel, E.
AU - Hetmaniuk, U.
PY - 2008/9/10
Y1 - 2008/9/10
N2 - We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate spheroid outer surface. In order to compare the computational solution with an analytical solution, we consider, as an example, scattering about an ellipse. We solve the Helmholtz equation with both finite differences and finite elements. We also introduce a new boundary condition for an ellipse based on a modal expansion.
AB - We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate spheroid outer surface. In order to compare the computational solution with an analytical solution, we consider, as an example, scattering about an ellipse. We solve the Helmholtz equation with both finite differences and finite elements. We also introduce a new boundary condition for an ellipse based on a modal expansion.
KW - Absorbing boundary conditions
KW - Helmholtz equation
KW - Mathieu functions
UR - http://www.scopus.com/inward/record.url?scp=48149112117&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2008.05.010
DO - 10.1016/j.jcp.2008.05.010
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AN - SCOPUS:48149112117
SN - 0021-9991
VL - 227
SP - 8254
EP - 8267
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 18
ER -