Browsing by Keywords "Preconditioning"
Now showing items 17 of 7

Accelerating the multilevel fast multipole algorithm with the sparseapproximateinverse (SAI) preconditioning
(Society for Industrial and Applied Mathematics, 2009)With the help of the multilevel fast multipole algorithm, integralequation methods can be used to solve reallife electromagnetics problems both accurately and efficiently. Increasing problem dimensions, on the other hand, ... 
Block SOR preconditioned projection methods for Kronecker structured Markovian representations
(SIAM, 2005)Kronecker structured representations are used to cope with the state space explosion problem in Markovian modeling and analysis. Currently, an open research problem is that of devising strong preconditioners to be used ... 
Effective preconditioners for iterative solutions of largescale surfaceintegralequation problems
(Bilkent University, 2010)A popular method to study electromagnetic scattering and radiation of threedimensional electromagnetics problems is to solve discretized surface integral equations, which give rise to dense linear systems. Iterative ... 
Iterative nearfield preconditioner for the multilevel fast multipole algorithm
(Society for Industrial and Applied Mathematics, 20100706)For iterative solutions of large and difficult integralequation problems in computational electromagnetics using the multilevel fast multipole algorithm (MLFMA), preconditioners are usually built from the available sparse ... 
Parallel sparse matrixvector multiplies and iterative solvers
(Bilkent University, 2005)Sparse matrixvector multiply (SpMxV) operations are in the kernel of many scientific computing applications. Therefore, efficient parallelization of SpMxV operations is of prime importance to scientific computing ... 
Partitioning sparse matrices for parallel preconditioned iterative methods
(Society for Industrial and Applied Mathematics, 2007)This paper addresses the parallelization of the preconditioned iterative methods that use explicit preconditioners such as approximate inverses. Parallelizing a full step of these methods requires the coefficient and ... 
Schur complement preconditioners for surface integralequation formulations of dielectric problems solved with the multilevel fast multipole algorithm
(Society for Industrial and Applied Mathematics, 20111004)Surface integralequation methods accelerated with the multilevel fast multipole algorithm (MLFMA) provide a suitable mechanism for electromagnetic analysis of reallife dielectric problems. Unlike the perfectelectricconductor ...