Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 4 : pp. 641–666
Abstract
A new eXtended Finite Element Method based on two-dimensional edge elements is presented and applied to solve the time-harmonic Maxwell equations in domains with cracks. Error analysis is performed and shows the method to be convergent with an order of at least $O(h^{1/2-\eta})$. The implementation of the method is discussed and numerical tests illustrate its performance.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-705
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 4 : pp. 641–666
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Maxwell's equations domains with cracks XFEM singularities of solutions.