An Extended Finite Element Method for 2D Edge Elements

An Extended Finite Element Method for 2D Edge Elements

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.