HYBRID CROSS APPROXIMATION FOR THE ELECTRIC FIELD INTEGRAL EQUATION
نویسندگان
چکیده
منابع مشابه
The reduced basis method for the electric field integral equation
We introduce the Reduced Basis Method (RBM) as an efficient tool for parametrized scattering problems in computational electromagnetics for problems where field solutions are computed using a standard Boundary Element Method (BEM) for the parametrized Electric Field Integral Equation (EFIE). This combination enables an algorithmic cooperation which results in a two step procedure. The first ste...
متن کاملIncomplete Lu Preconditioning for the Electric-field Integral Equation
Linear systems resulting from the electric-field integral equation (EFIE) become ill-conditioned, particularly for large-scale problems. Hence, effective preconditioners should be used to obtain the iterative solution with the multilevel fast multipole algorithm in a reasonable time. In this paper, we show that a threshold-based incomplete LU (ILU) preconditioner, i.e., ILUT, can be used safely...
متن کاملCertified Reduced Basis Method for the Electric Field Integral Equation
In [5], a reduced basis method (RBM) for the electric field integral equation (EFIE) based on the boundary element method (BEM) is developed, based on a simplified a posteriori error estimator for the Greedy-based snapshot selection. In this paper, we extend this work and propose a certified RBM for the EFIE based on a mathematically rigorous a posteriori estimator. The main difficulty of the c...
متن کاملHybrid cross approximation of integral operators
The efficient treatment of dense matrices arising, e.g., from the finite element discretisation of integral operators requires special compression techniques. In this article we use the H-matrix representation that approximates the dense stiffness matrix in admissible blocks (corresponding to subdomains where the underlying kernel function is smooth) by low-rank matrices. The low-rank matrices ...
متن کاملTime-domain Electric-field Integral Equation with Central Finite Difference
In this paper, we present a new formulation using the ( ) time-domain electric-field integral equation TD EFIE to obtain a transient scattering response from arbitrarily shaped conducting bodies. The time deri ati e of the magnetic ector potential is approximated with a central finite difference, and the scalar potential is time a eraged by di iding it into two terms. This approach with an impl...
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 M
سال: 2018
ISSN: 1937-8726
DOI: 10.2528/pierm18052803