Abstract
An adaptive parabolic-elliptic time-integration method based on a singly diagonally 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. No Newton iteration is required in a time step because the Jacobian is incorporated into the time integration formula; only one linear equation with multiple right hand sides has to be solved. The global time-integration error is controlled by limiting the local error at each time step selection. The efficiency of the formulation and time stepping algorithm is illustrated by solving a typical nonlinear benchmark problem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
