Charge density - scalar potential formulation for adaptive time-integration of Nonlinear electroquasistatic problems

Author

Badics, Zsolt

Author_Institution

Rhythmia Med., Inc., Burlington, MA, USA

fYear

2010

fDate

9-12 May 2010

Firstpage

1

Lastpage

1

Abstract

An adaptive parabolic-elliptic time-integration method based on a singly diagonal implicit Runge-Kutta (SDIRK) algorithm is described for the finite element (FE) solution of nonlinear electroquasistatic (EQS) problems. The method uses the nodal charges as dynamic variables in addition to the electric scalar potential, thereby achieving better stability and performance than methods based on the scalar potential only.

Keywords

Runge-Kutta methods; electric charge; electrostatics; elliptic equations; finite element analysis; parabolic equations; adaptive parabolic-elliptic time-integration method; adaptive time-integration; charge density; finite element solution; nonlinear electroquasistatic problems; scalar potential formulation; singly diagonal implicit Runge-Kutta algorithm; Anisotropic magnetoresistance; Computational modeling; Electric potential; Electromagnetic fields; Electromagnetic transients; Equations; Finite element methods; Magnetics; Stability; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on

Conference_Location

Chicago, IL

Print_ISBN

978-1-4244-7059-4

Type

conf

DOI

10.1109/CEFC.2010.5481390

Filename

5481390