کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519309 867653 2010 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A linear nonconforming finite element method for Maxwell’s equations in two dimensions. Part I: Frequency domain
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A linear nonconforming finite element method for Maxwell’s equations in two dimensions. Part I: Frequency domain
چکیده انگلیسی

We suggest a linear nonconforming triangular element for Maxwell’s equations and test it in the context of the vector Helmholtz equation. The element uses discontinuous normal fields and tangential fields with continuity at the midpoint of the element sides, an approximation related to the Crouzeix–Raviart element for Stokes. The element is stabilized using the jump of the tangential fields, giving us a free parameter to decide. We give dispersion relations for different stability parameters and give some numerical examples, where the results converge quadratically with the mesh size for problems with smooth boundaries. The proposed element is free from spurious solutions and, for cavity eigenvalue problems, the eigenfrequencies that correspond to well-resolved eigenmodes are reproduced with the correct multiplicity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 18, 1 September 2010, Pages 6534–6547
نویسندگان
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