Utilization of wavelet concepts into the finite element method for efficient solution of Maxwell's equations

Luis Emillo Garcia Castillo; Tapan K. Sarkar; Magdalena Salazar Palma

doi:10.1109/EUMA.1993.336809

Utilization of wavelet concepts into the finite element method for efficient solution of Maxwell's equations

Luis Emillo Garcia Castillo, Tapan K. Sarkar, Magdalena Salazar Palma

Department of Electrical Engineering & Computer Science

Research output: Contribution to conference › Paper › peer-review

Abstract

The wavelet concept has been introduced in the applied mathematics literature as a new mathematical subject tor performing localized time-frequency characterization. It is a versatile tool with very rich mathematical content and great potential for application. Because of this localized property both in the original and in the transform domain it is expected that its application to the numerical solution of partial differential equations would be quite interesting for electromagnetic field problems. In this paper this concept is explained with application to one dimension (ID) and two dimensions (2D) differential equations. Numerical examples have been presented showing the features of the method.

Original language	English (US)
Pages	125-128
Number of pages	4
DOIs	https://doi.org/10.1109/EUMA.1993.336809
State	Published - 1993
Event	1993 23rd European Microwave Conference, EuMA 1993 - Madrid, Spain Duration: Sep 6 1993 → Sep 10 1993

Conference

Conference	1993 23rd European Microwave Conference, EuMA 1993
Country/Territory	Spain
City	Madrid
Period	9/6/93 → 9/10/93

ASJC Scopus subject areas

Instrumentation
Electronic, Optical and Magnetic Materials

Access to Document

10.1109/EUMA.1993.336809

Cite this

@conference{277a2ae63a2c45a1ba8721919d3a6c76,

title = "Utilization of wavelet concepts into the finite element method for efficient solution of Maxwell's equations",

abstract = "The wavelet concept has been introduced in the applied mathematics literature as a new mathematical subject tor performing localized time-frequency characterization. It is a versatile tool with very rich mathematical content and great potential for application. Because of this localized property both in the original and in the transform domain it is expected that its application to the numerical solution of partial differential equations would be quite interesting for electromagnetic field problems. In this paper this concept is explained with application to one dimension (ID) and two dimensions (2D) differential equations. Numerical examples have been presented showing the features of the method.",

author = "Castillo, {Luis Emillo Garcia} and Sarkar, {Tapan K.} and Palma, {Magdalena Salazar}",

note = "Publisher Copyright: {\textcopyright} 1993 IEEE.; 1993 23rd European Microwave Conference, EuMA 1993 ; Conference date: 06-09-1993 Through 10-09-1993",

year = "1993",

doi = "10.1109/EUMA.1993.336809",

language = "English (US)",

pages = "125--128",

}

TY - CONF

T1 - Utilization of wavelet concepts into the finite element method for efficient solution of Maxwell's equations

AU - Castillo, Luis Emillo Garcia

AU - Sarkar, Tapan K.

AU - Palma, Magdalena Salazar

PY - 1993

Y1 - 1993

N2 - The wavelet concept has been introduced in the applied mathematics literature as a new mathematical subject tor performing localized time-frequency characterization. It is a versatile tool with very rich mathematical content and great potential for application. Because of this localized property both in the original and in the transform domain it is expected that its application to the numerical solution of partial differential equations would be quite interesting for electromagnetic field problems. In this paper this concept is explained with application to one dimension (ID) and two dimensions (2D) differential equations. Numerical examples have been presented showing the features of the method.

AB - The wavelet concept has been introduced in the applied mathematics literature as a new mathematical subject tor performing localized time-frequency characterization. It is a versatile tool with very rich mathematical content and great potential for application. Because of this localized property both in the original and in the transform domain it is expected that its application to the numerical solution of partial differential equations would be quite interesting for electromagnetic field problems. In this paper this concept is explained with application to one dimension (ID) and two dimensions (2D) differential equations. Numerical examples have been presented showing the features of the method.

UR - http://www.scopus.com/inward/record.url?scp=85066306336&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066306336&partnerID=8YFLogxK

U2 - 10.1109/EUMA.1993.336809

DO - 10.1109/EUMA.1993.336809

M3 - Paper

AN - SCOPUS:85066306336

SP - 125

EP - 128

T2 - 1993 23rd European Microwave Conference, EuMA 1993

Y2 - 6 September 1993 through 10 September 1993

ER -

Utilization of wavelet concepts into the finite element method for efficient solution of Maxwell's equations

Abstract

Conference

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this