BOUNDARY-INTEGRAL METHODS FOR ITERATIVE SOLUTION OF SCATTERING PROBLEMS WITH VARIABLE IMPEDANCE SURFACE CONDITION
نویسندگان
چکیده
منابع مشابه
A Well-conditioned Integral Equation for Iterative Solution of Scattering Problems with a Variable Leontovitch Boundary Condition
The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method pr...
متن کاملIntegral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition
The inverse problem under consideration is to reconstruct the shape of an impenetrable two-dimensional obstacle with a generalized impedance boundary condition from the far field pattern for scattering of time-harmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that extends the approach suggested by Johansson and Sleeman [10] for the case of the inverse...
متن کاملIntegral Equation Methods for the Inverse Obstacle Problem with Generalized Impedance Boundary Condition
Determining the shape of an inclusion within a conducting medium from voltage and current measurements on the accessible boundary of the medium can be modeled as an inverse boundary value problem for the Laplace equation. We present a solution method for such an inverse boundary value problem with a generalized impedance boundary condition on the inclusion via boundary integral equations. Both ...
متن کاملIntegral Equation Methods for Free Boundary Problems∗
We outline a unified approach for treating free boundary problems arising in Finance using integral equation methods. Starting with the PDE formulations of the free boundary problems, we show how to derive nonlinear integral equations for the free boundaries in a variety of Finance applications. Methods to treat theoretical (existence, uniqueness) questions and analytical and numerical approxim...
متن کاملIterative Parallel Methods for Boundary Value Problems
A bordered almost block diagonal system (BABD) results from discretizing and linearizing ordinary diierential equation (ODE) boundary value problems (BVPs) with non-separated boundary conditions (BCs) by either spline collocation, nite diierences, or multiple shooting. After internal condensation, if necessary, this BABD system reduces to a standard-nite diierence BABD structure. This system ca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress In Electromagnetics Research
سال: 2008
ISSN: 1559-8985
DOI: 10.2528/pier07103105