An Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell Equations

作者：Ratnani Ahmed; Sonnendruecker Eric

来源：Journal of Scientific Computing, 2012, 51(1): 87-106.

DOI：10.1007/s10915-011-9500-8

• Maxwell%26apos
• s equations
• Spline finite element method
• Isogeometric analysis
• Time domain

In this paper, we study high order methods for solving the time domain Maxwell equations using spline finite elements on domains defined by NURBS. Convenient basis functions for the discrete exact sequence of spaces introduced by Buffa et al. (Comput. Methods Appl. Mech. Eng. 199:1143-1152, 2009) are exhibited which provide the same discrete structure as for classical Whitney Finite Elements. An analysis of stability of the time scheme is also developed.

• 出版日期2012-4