Fast convolution quadrature based impedance boundary conditions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:263

Article

Hiptmair, Ralf¹  Lopez-Fernandez, Maria²  Paganini, Alberto¹ 

[1] Swiss Fed Inst Technol, Seminar Appl Math, Zurich, Switzerland

[2] Univ Zurich, Inst Math, CH-8001 Zurich, Switzerland

关键词: Eddy current problem;    Impedance boundary conditions;    Convolution quadrature;    Fast and oblivious algorithms;   

DOI  :  10.1016/j.cam.2013.12.025

来源: Elsevier

【 摘 要 】

We consider an eddy current problem in time-domain relying on impedance boundary conditions on the surface of the conductor(s). We pursue its full discretization comprising (i) a finite element Galerkin discretization by means of lowest order edge elements in space, and (ii) temporal discretization based on Runge Kutta Convolution Quadrature (CQ) for the resulting Volterra integral equation in time. The final algorithm also involves the fast and oblivious approximation of CQ. For this method we give a comprehensive convergence analysis and establish that the errors of spatial discretization, CQ and of its approximate realization add up to the final error bound. (c) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free