Abstract:
Despite the great progress made in the evaluation of the 4-D reaction integrals arising in the method of moments applied to the surface integral equation formulations, th...Show MoreMetadata
Abstract:
Despite the great progress made in the evaluation of the 4-D reaction integrals arising in the method of moments applied to the surface integral equation formulations, there are still some aspects that deserve to be explored further. The focus in this paper lies in the evaluation of the 4-D reaction integral for the scalar potential. We demonstrate that, unless this integral is computed to machine precision in the whole impedance matrix, it is imperative to maintain the trianglewise balance in the evaluation of the scalar potential part. A small imbalance, even at very small error, results in a loss of degrees of freedom (DOFs) for the charge distribution, violating the null-space property of the divergence operator and yielding potentially spurious solutions. The effect, although present, may go unnoticed at the conventional frequency regimes, where the usual mesh sizes can be applied. However, it becomes more pronounced as we approach the quasi-static limit, eventually rendering spurious solutions at the frequencies higher than the classical low-frequency breakdown would.
Published in: IEEE Transactions on Antennas and Propagation ( Volume: 65, Issue: 10, October 2017)
Funding Agency:
Departamento de Teoría do Sinal e Comunicacións, Universidade de Vigo, Pontevedra, Spain
Diego Martínez Solís was born in O Grove, Galicia, Spain, in 1983. He received the M.Sc. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 2007 and 2014, respectively. He defended his M.Sc. thesis at the Department of Acoustic Technology, Ørsted Danmarks Tekniske Universitet, Kongens Lyngby, Denmark.
From 2006 to 2007, he was a Visiting Student with the Department of Acou...Show More
Diego Martínez Solís was born in O Grove, Galicia, Spain, in 1983. He received the M.Sc. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 2007 and 2014, respectively. He defended his M.Sc. thesis at the Department of Acoustic Technology, Ørsted Danmarks Tekniske Universitet, Kongens Lyngby, Denmark.
From 2006 to 2007, he was a Visiting Student with the Department of Acou...View more
Departamento de Teoría do Sinal e Comunicacións, Universidade de Vigo, Pontevedra, Spain
Fernando Obelleiro Basteiro was born in Forcarei, Galicia, Spain, in 1968. He received the M.S. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 1991 and 1994, respectively.
In 1993, he was a Visiting Scholar in the ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA. In 1991, he joined with the faculty, Telecommunication Engineering School, Universit...Show More
Fernando Obelleiro Basteiro was born in Forcarei, Galicia, Spain, in 1968. He received the M.S. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 1991 and 1994, respectively.
In 1993, he was a Visiting Scholar in the ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA. In 1991, he joined with the faculty, Telecommunication Engineering School, Universit...View more
Departamento de Tecnología de los Computadores y Comunicaciones, Universidad de Extremadura, Badajoz, Spain
Jose Manuel Taboada was born in Pontevedra, Galicia, Spain, in 1974. He received the M.S. and Ph.D. degrees in telecommunication engineering from the Universidade de Vigo, Pontevedra, Spain, in 1998 and 2001, respectively.
From 1998 to 2002, he was a Researcher with the University of Vigo. In 2002, he joined as an Associate Professor with the Universidad de Extremadura, Badajoz, Spain. His current research interests includ...Show More
Jose Manuel Taboada was born in Pontevedra, Galicia, Spain, in 1974. He received the M.S. and Ph.D. degrees in telecommunication engineering from the Universidade de Vigo, Pontevedra, Spain, in 1998 and 2001, respectively.
From 1998 to 2002, he was a Researcher with the University of Vigo. In 2002, he joined as an Associate Professor with the Universidad de Extremadura, Badajoz, Spain. His current research interests includ...View more
Contents Departamento de Teoría do Sinal e Comunicacións, Universidade de Vigo, Pontevedra, Spain
Diego Martínez Solís was born in O Grove, Galicia, Spain, in 1983. He received the M.Sc. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 2007 and 2014, respectively. He defended his M.Sc. thesis at the Department of Acoustic Technology, Ørsted Danmarks Tekniske Universitet, Kongens Lyngby, Denmark.
From 2006 to 2007, he was a Visiting Student with the Department of Acoustic Technology, Ørsted Danmarks Tekniske Universitet. From 2007 to 2010, he was a Digital Electronics and Software Engineer with the automotive private sector. In 2011, he started his research on computational electromagnetics and nanophotonics with the Department of Signal Theory and Communications, University of Vigo. From 2012 to 2013, he carried out part of his doctoral research with the ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA, and also with the Department of Electronics and Telecommunications, Politecnico di Torino, Torino, Italy. Since 2016, he has been a Visiting Researcher with the Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA. His current research interests include integral-equation-based numerical techniques, plasmonics, and metamaterials.
Diego Martínez Solís was born in O Grove, Galicia, Spain, in 1983. He received the M.Sc. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 2007 and 2014, respectively. He defended his M.Sc. thesis at the Department of Acoustic Technology, Ørsted Danmarks Tekniske Universitet, Kongens Lyngby, Denmark.
From 2006 to 2007, he was a Visiting Student with the Department of Acoustic Technology, Ørsted Danmarks Tekniske Universitet. From 2007 to 2010, he was a Digital Electronics and Software Engineer with the automotive private sector. In 2011, he started his research on computational electromagnetics and nanophotonics with the Department of Signal Theory and Communications, University of Vigo. From 2012 to 2013, he carried out part of his doctoral research with the ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA, and also with the Department of Electronics and Telecommunications, Politecnico di Torino, Torino, Italy. Since 2016, he has been a Visiting Researcher with the Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA. His current research interests include integral-equation-based numerical techniques, plasmonics, and metamaterials.View more
Departamento de Teoría do Sinal e Comunicacións, Universidade de Vigo, Pontevedra, Spain
Fernando Obelleiro Basteiro was born in Forcarei, Galicia, Spain, in 1968. He received the M.S. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 1991 and 1994, respectively.
In 1993, he was a Visiting Scholar in the ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA. In 1991, he joined with the faculty, Telecommunication Engineering School, University de Vigo. He was an Associate Professor and a Full Professor in 1994 and 2001, respectively. He also cooperates with the Spanish Navy, Pontevedra, as a Technical Consultant on electronic warfare, radar signature, and electromagnetic compatibility issues. His current research interests include computational electromagnetics, supercomputing, electromagnetic compatibility, metamaterials and nanoplasmonic modeling for bio-sensing applications
Dr. Obelleiro Basteiro received the International PRACE Award and the Intel Innovation Award, both for integration electromagnetics and supercomputing in 2009.
Fernando Obelleiro Basteiro was born in Forcarei, Galicia, Spain, in 1968. He received the M.S. and Ph.D. degrees in telecommunication engineering from the University of Vigo, Pontevedra, Spain, in 1991 and 1994, respectively.
In 1993, he was a Visiting Scholar in the ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA. In 1991, he joined with the faculty, Telecommunication Engineering School, University de Vigo. He was an Associate Professor and a Full Professor in 1994 and 2001, respectively. He also cooperates with the Spanish Navy, Pontevedra, as a Technical Consultant on electronic warfare, radar signature, and electromagnetic compatibility issues. His current research interests include computational electromagnetics, supercomputing, electromagnetic compatibility, metamaterials and nanoplasmonic modeling for bio-sensing applications
Dr. Obelleiro Basteiro received the International PRACE Award and the Intel Innovation Award, both for integration electromagnetics and supercomputing in 2009.View more
Departamento de Tecnología de los Computadores y Comunicaciones, Universidad de Extremadura, Badajoz, Spain
Jose Manuel Taboada was born in Pontevedra, Galicia, Spain, in 1974. He received the M.S. and Ph.D. degrees in telecommunication engineering from the Universidade de Vigo, Pontevedra, Spain, in 1998 and 2001, respectively.
From 1998 to 2002, he was a Researcher with the University of Vigo. In 2002, he joined as an Associate Professor with the Universidad de Extremadura, Badajoz, Spain. His current research interests include fast integral equation algorithms in computational electromagnetics, parallel programming and supercomputing, electromagnetic compatibility, metamaterials, and nanoplasmonic modeling.
Dr. Taboada received the International PRACE Award and Intel Itanium Solutions Innovation Award in 2009 for integration of electromagnetics and supercomputing.
Jose Manuel Taboada was born in Pontevedra, Galicia, Spain, in 1974. He received the M.S. and Ph.D. degrees in telecommunication engineering from the Universidade de Vigo, Pontevedra, Spain, in 1998 and 2001, respectively.
From 1998 to 2002, he was a Researcher with the University of Vigo. In 2002, he joined as an Associate Professor with the Universidad de Extremadura, Badajoz, Spain. His current research interests include fast integral equation algorithms in computational electromagnetics, parallel programming and supercomputing, electromagnetic compatibility, metamaterials, and nanoplasmonic modeling.
Dr. Taboada received the International PRACE Award and Intel Itanium Solutions Innovation Award in 2009 for integration of electromagnetics and supercomputing.View more
