کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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518417 | 867587 | 2014 | 21 صفحه PDF | دانلود رایگان |
In this paper, we propose and analyze a nodal-continuous and H1H1-conforming finite element method for the numerical computation of Maxwell's equations, with singular solution in a fractional order Sobolev space Hr(Ω)Hr(Ω), where r may take any value in the most interesting interval (0,1)(0,1). The key feature of the method is that mass-lumping linear finite element L2L2 projections act on the curl and divergence partial differential operators so that the singular solution can be sought in a setting of L2(Ω)L2(Ω) space. We shall use the nodal-continuous linear finite elements, enriched with one element bubble in each element, to approximate the singular and non-H1H1 solution. Discontinuous and nonhomogeneous media are allowed in the method. Some error estimates are given and a number of numerical experiments for source problems as well as eigenvalue problems are presented to illustrate the superior performance of the proposed method.
Journal: Journal of Computational Physics - Volume 268, 1 July 2014, Pages 63–83