Exploració per autor "Heldring, Alexander"
Ara es mostren els items 33-52 de 68
-
Improvements in randomized matrix compression methods for numerical analysis of antennas and scatterers
López Menchón, Héctor; Heldring, Alexander; Úbeda Farré, Eduard; Rius Casals, Juan Manuel (Luis Landesa-Porras, 2023)
Comunicació de congrés
Accés obertWe propose a randomized Pseudo Skeleton (or CUR) Approximation method to compress the H-matrices of linear systems that arise in the discretization of integral equations in electromagnetic scattering. This method is highly ... -
Improving the accuracy of the adaptive cross approximation with a convergence criterion based on random sampling
Heldring, Alexander; Úbeda Farré, Eduard; Rius Casals, Juan Manuel (2020-07-27)
Article
Accés obertThe accuracy of the Adaptive Cross Approximation (ACA) algorithm, a popular method for the compression of low rank matrix blocks in Method of Moment computations, is sometimes seriously compromised by unpredictable errors ... -
Integral Equation MEI (IE-MEI) analysis of homogeneus dielectric and plasmonic media in 2D
Rius Casals, Juan Manuel; Planes Conangla, Gerard; Úbeda Farré, Eduard; Heldring, Alexander (2015)
Text en actes de congrés
Accés obertThis paper revisits the IE-MEI method and proposes a new formulation for high-loss didectric piecewise-homogeneous media. The aim of this work is lo assess if the bigh localization of surface plasmon polarltons helps in ... -
Iterative method of moments solution of problems involving electrically large and concave geometries
Heldring, Alexander; Rius Casals, Juan Manuel; Úbeda Farré, Eduard (Institute of Electrical and Electronics Engineers (IEEE), 2013)
Text en actes de congrés
Accés restringit per política de l'editorialThis paper presents a study of the scaling with frequency (computational complexity) of preconditioned iterative solution, using the Multilevel Fast Multipole Method, of a class of radiation and scattering problems that ... -
Low-rank matrix factorization method for multiscale simulations: a review
Li, Mengmeng; Ding, Dazhi; Heldring, Alexander; Hu, Jun; Chen, Rushan; Vecchi, Giuseppe (Institute of Electrical and Electronics Engineers (IEEE), 2021)
Article
Accés obertIn this paper, a review of the low-rank factorization method is presented, with emphasis on their application to multiscale problems. Low-rank matrix factorization methods exploit the rankdeficient nature of coupling ... -
Monte Carlo methods in electromagnetic scattering computations
López Menchón, Héctor; Heldring, Alexander; Úbeda Farré, Eduard; Rius Casals, Juan Manuel (Universitat Politècnica de Catalunya. Remote Sensing, Antennas, Microwaves and Superconductivity Group (CommSensLab), 2022)
Text en actes de congrés
Accés obertThe solution of the electromagnetic scattering problem by the Method of Moments often leads to huge systems of equations that require large computational resources. In parallel computing environments, communication between ... -
Multilevel adaptive cross approximation (MLACA)
Tamayo Palau, José María; Heldring, Alexander; Rius Casals, Juan Manuel (IEEE, 2009-06-30)
Text en actes de congrés
Accés obertIn recent years, several methods have been developed for accelerating the iterative solution of the electromagnetic integral equations discretized by Method of Moments (MoM). Most of them are based on the compressibility ... -
Multiscale compressed block decomposition for fast direct solution of method of moments linear system
Heldring, Alexander; Rius Casals, Juan Manuel; Tamayo Palau, José María; Parrón, Josep; Úbeda Farré, Eduard (2011-02)
Article
Accés restringit per política de l'editorialThe multiscale compressed block decomposition algorithm (MS-CBD) is presented for highly accelerated direct (non iterative) solution of electromagnetic scattering and radiation problems with the method of moments (MoM). ... -
Nested fast adaptive cross approximation algorithm for solving electromagnetic scattering problems
Fang, Xiaoxing; Heldring, Alexander; Rius Casals, Juan Manuel; Chen, Xinlei; Cao, Qunsheng (IEEE Microwave Theory and Techniques Society, 2020-09-28)
Article
Accés obertIn this paper, a Nested Fast Adaptive Cross Approximation (NFACA) algorithm is presented to accelerate the solution of electromagnetic scattering problems. It is based on the Fast Adaptive Cross Approximation (FACA) and ... -
New block ILU preconditioner scheme for numerical analysis of very large electromagnetic problems
Heldring, Alexander; Rius Casals, Juan Manuel; Ligthart, Leo P. (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2002-03-31)
Article
Accés obertLarge electromagnetic scattering and radiation problems are tackled by iterative solvers, which require the use of huge preconditioners. Most often, the incomplete LU decomposition (ILU) of the preconditioner is applied ... -
New graphical processing technique for fast shadowing computation in PO surface integral
Rius Casals, Juan Manuel; Carbó Meseguer, Alexis; Bjerkemo, Jakob; Úbeda Farré, Eduard; Heldring, Alexander; Mallorquí Franquet, Jordi Joan; Broquetas Ibars, Antoni (2014-05-01)
Article
Accés restringit per política de l'editorialThis paper presents a new graphical processing technique for fast computation of PO surface integral. In contrast with the original graphical processing approach introduced by the authors in 1993, the new one combines a ... -
Nonconforming discretization of the combined-field integral equation with volumetric testing
Úbeda Farré, Eduard; Rius Casals, Juan Manuel; Heldring, Alexander (Institute of Electrical and Electronics Engineers (IEEE), 2015)
Text en actes de congrés
Accés restringit per política de l'editorialRecent attention has been devoted to the development of nonconforming method-of-moment (MoM) implementations of the Electric-Field Integral Equation (EFIE), which provide current solutions with no continuity constraints ... -
Nonconforming discretization of the electric-field integral equation for closed perfectly conducting objects
Úbeda Farré, Eduard; Rius Casals, Juan Manuel; Heldring, Alexander (2014-08-01)
Article
Accés restringit per política de l'editorialGalerkin implementations of the method of moments (MoM) of the electric-field integral equation (EFIE) have been traditionally carried out with divergence-conforming sets. The normal-continuity constraint across edges gives ... -
Nonconforming discretization of the Magnetic-Field Integral Equation with volumetric testing
Úbeda Farré, Eduard; Rius Casals, Juan Manuel; Heldring, Alexander (Institute of Electrical and Electronics Engineers (IEEE), 2014)
Text en actes de congrés
Accés restringit per política de l'editorialThe RWG-discretization in Method of Moments (MoM) of the Magnetic-Field and Electric-Field Integral Equations (MFIE, EFIE) show evident discrepancy in the computed RCS, especially for small objects with edges and corners. ... -
On the accuracy of the Adaptive Cross Approximation algorithm
Heldring, Alexander; Úbeda Farré, Eduard; Rius Casals, Juan Manuel (Universidad de Oviedo, 2016)
Text en actes de congrés
Accés obertThis contribution identifies an often ignored source of uncertainty in the accuracy of the Adaptive Cross Approximation (ACA) algorithm. -
On the accuracy of the adaptive cross aproximation algorithm
Heldring, Alexander; Úbeda Farré, Eduard; Sekulic, Ivan; Rius Casals, Juan Manuel (Institute of Electrical and Electronics Engineers (IEEE), 2017)
Text en actes de congrés
Accés obertThis contribution identifies an often ignored source of uncertainty in the accuracy of the adaptive cross approximation algorithm, and proposes a combination of adaptations that reduce this uncertainty with negligible ... -
On the convergence of the ACA algorithm for radiation and scattering problems
Heldring, Alexander; Úbeda Farré, Eduard; Rius Casals, Juan Manuel (2014-07-01)
Article
Accés restringit per política de l'editorialThe adaptive cross approximation (ACA) algorithm, when used to accelerate the numerical solution of integral equations for radiation and scattering problems, sometimes suffers from inaccuracies. These inaccuracies occur ... -
On the degrees of freedom in the interaction between sets of elementary scatterers
Heldring, Alexander; Tamayo Palau, José María; Rius Casals, Juan Manuel (2009)
Text en actes de congrés
Accés obertA series of numerical experiments has been executed to investigate the number of degrees of freedom in the interaction between large scattering bodies. The relation between degrees of freedom and operating frequency ... -
Preconditioning the Electric Field Integral Equation with the MS-CBD method
Heldring, Alexander; Úbeda Farré, Eduard; Rius Casals, Juan Manuel (2013)
Text en actes de congrés
Accés restringit per política de l'editorialA novel preconditioning scheme for Method of Moment computations is proposed. It consists of an adapted version of an accelerated direct solution method, the Multiscale Compressed Block Decomposition. It is of particular ... -
Regularization of the 2D TE-EFIE for homogeneous objects discretized by the Method of Moments with discontinuous basis functions
Sekulic, Ivan; Úbeda Farré, Eduard; Rius Casals, Juan Manuel; Heldring, Alexander (2014)
Text en actes de congrés
Accés restringit per política de l'editorialThe discretization of the Electric-Field Integral Equation (EFIE) by the Method of Moments (MoM) for a transversal electric (TE) illuminating wave impinging on an infinitely long cylinder (2D-object) is traditionally carried ...