Finite element convergence for the Darwin model to Maxwell's equations
Publication in refereed journal

香港中文大學研究人員

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摘要In three dimensional polyhedral domains with a Lipschitz continuous boundary, we derive the H(curl; Omega) and H(curl, div; Omega) variational formulations for the Darwin model of approximation to Maxwell's equations and prove the well-posedness of the variational systems. Then Nedelec's and standard finite element methods are used to solve two kinds of variational problems. Though symmetric bilinear forms in the variational systems fail to define full norms equivalent to the standard norms in the finite element subspaces of H(curl; Omega) and H(curl, div; Omega), we call still prove the finite element convergence and obtain the error estimates, without requiring the physical domains to be convex.
著者Ciarlet P, Zou J
期刊名稱ESAIM: Mathematical Modelling and Numerical Analysis
出版年份1997
月份3
日期1
卷號31
期次2
出版社GAUTHIER-VILLARS
頁次213 - 249
國際標準期刊號0764-583X
語言英式英語
Web of Science 學科類別Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED

上次更新時間 2020-20-11 於 01:55