Efficient convolution based impedance boundary conditions

被引：0

作者：

Paganini, Alberto ^{[1
]}

Lopez-Fernandez, Maria ^{[2
]}

机构：

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

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

来源：

COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING | 2014年 / 33卷 / 04期

关键词：

Eddy current; Convolution quadrature; Fast and oblivious algorithm; Impedance boundary conditions; DISCRETIZED OPERATIONAL CALCULUS; PARABOLIC EQUATIONS; QUADRATURE; APPROXIMATION;

D O I：

10.1108/COMPEL-06-2013-0196

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Purpose - The purpose of this paper is to propose an approach based on Convolution quadrature (CQ) for the modeling and the numerical treatment of impedance boundary condition. Design/methodology/approach - The model is derived from a general setting. Its discretization is discussed in details by providing pseudo-codes and by performing their complexity analysis. The model is validated through several numerical experiments. Findings - CQ provides an efficient and accurate treatment of impedance boundary conditions. Originality/value - The paper suggests a new effective treatment of impedance boundary conditions.

引用

页码：1175 / 1188

页数：14

共 15 条

[1] Alonso-Rodriguez A., 2010, MODELLING SIMULATION, V4
[2] [Anonymous], 2003, NUMERICAL METHODS EL
[3] [Anonymous], 2010, SPRINGER SERIES COMP
[4] Runge-Kutta convolution quadrature for operators arising in wave propagation
Banjai, Lehel
Lubich, Christian
Melenk, Jens Markus
[J]. NUMERISCHE MATHEMATIK, 2011, 119 (01) : 1 - 20
[5] Efficient Low Order Approximation for Surface Impedance Boundary Conditions in Finite-Difference Time-Domain Method
De Santis, V.
Cruciani, S.
Feliziani, M.
Okoniewski, M.
[J]. IEEE TRANSACTIONS ON MAGNETICS, 2012, 48 (02) : 271 - 274
[6] Hiptmair R, 2002, ACT NUMERIC, V11, P237
[7] Fast convolution quadrature based impedance boundary conditions
Hiptmair, Ralf
Lopez-Fernandez, Maria
Paganini, Alberto
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 263 : 500 - 517
[8] Fast Runge-Kutta approximation of inhomogeneous parabolic equations
López-Fernández, M
Lubich, C
Palencia, C
Schädle, A
[J]. NUMERISCHE MATHEMATIK, 2005, 102 (02) : 277 - 291
[9] A spectral order method for inverting sectorial Laplace transforms
Lopez-Fernandez, Maria
Palencia, Cesar
Schaedle, Achim
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 44 (03) : 1332 - 1350
[10] LUBICH C, 1993, MATH COMPUT, V60, P105, DOI 10.1090/S0025-5718-1993-1153166-7

← 1 2 →