Title :
Charge density - scalar potential formulation for adaptive time-integration of Nonlinear electroquasistatic problems
Author_Institution :
Rhythmia Med., Inc., Burlington, MA, USA
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;
Conference_Titel :
Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4244-7059-4
DOI :
10.1109/CEFC.2010.5481390
