Add to ORKGA recently introduced potential integral equations for stable analysis of low-frequency problems involving dense discretizations with respect to wavelength are solved by using the fast multipole method (FMM). Two different implementations of FMM based on multipoles and an approximate diagonalization employing scaled plane waves are developed and used for rigorous solutions of low-frequency problems. Numerical results on canonical problems demonstrate excellent stability and solution capabilities of both implementations
We present an approximate diagonalization of the Green's function to implement a stable multilevel f...
We study integral methods applied to the resolution of the Maxwell equations where the linear system...
Abstract. This paper introduces a fast method for the application of sur-face integral operators whi...
We present efficient and accurate solutions of scattering problems involving dense discretizations w...
We present stable solutions of low-frequency electromagnetic problems involving small objects and th...
A number of physics problems may be cast in terms of Hilbert-Schmidt integral equations. In many cas...
We stabilize a conventional implementation of the fast multipole method (FMM) for low frequencies us...
We present a low-frequency fast multipole method for the solution of three-dimensional electromagnet...
This paper reviews the state of the art in fast integral equation techniques for solving large scale...
This paper reviews the state of the art in fast integral equation techniques for solving large scale...
In this contribution, we present a numerical implementation of recently developed potential integral...
In this thesis, recently introduced potential-based formulations that are based on direct usage of m...
118 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.The low frequency breakdown p...
A number of physics problems can be modeled by a set of N elements which have pair-wise interactions...
For more than two decades, several forms of fast multipole methods have been extremely successful in...
We present an approximate diagonalization of the Green's function to implement a stable multilevel f...
We study integral methods applied to the resolution of the Maxwell equations where the linear system...
Abstract. This paper introduces a fast method for the application of sur-face integral operators whi...
We present efficient and accurate solutions of scattering problems involving dense discretizations w...
We present stable solutions of low-frequency electromagnetic problems involving small objects and th...
A number of physics problems may be cast in terms of Hilbert-Schmidt integral equations. In many cas...
We stabilize a conventional implementation of the fast multipole method (FMM) for low frequencies us...
We present a low-frequency fast multipole method for the solution of three-dimensional electromagnet...
This paper reviews the state of the art in fast integral equation techniques for solving large scale...
This paper reviews the state of the art in fast integral equation techniques for solving large scale...
In this contribution, we present a numerical implementation of recently developed potential integral...
In this thesis, recently introduced potential-based formulations that are based on direct usage of m...
118 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.The low frequency breakdown p...
A number of physics problems can be modeled by a set of N elements which have pair-wise interactions...
For more than two decades, several forms of fast multipole methods have been extremely successful in...
We present an approximate diagonalization of the Green's function to implement a stable multilevel f...
We study integral methods applied to the resolution of the Maxwell equations where the linear system...
Abstract. This paper introduces a fast method for the application of sur-face integral operators whi...