An arbitrary high-order spline finite element solver for the time domain Maxwell equations

Ahmed Ratnani; Eric Sonnendrücker

doi:10.1007/s10915-011-9500-8

An arbitrary high-order spline finite element solver for the time domain Maxwell equations

Ahmed Ratnani, Eric Sonnendrücker

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	87-106
Number of pages	20
Journal	Journal of Scientific Computing
Volume	51
Issue number	1
DOIs	https://doi.org/10.1007/s10915-011-9500-8
State	Published - Apr 2012
Externally published	Yes

Keywords

Isogeometric analysis
Maxwell's equations
Spline finite element method
Time domain

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10.1007/s10915-011-9500-8

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An arbitrary high-order spline finite element solver for the time domain Maxwell equations

Abstract

Keywords

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