Semantic Scholar Open Access 2020 9 sitasi

A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems

J. Gedicke S. Geevers I. Perugia J. Schöberl

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Abstrak

We present an equilibration-based a posteriori error estimator for Nedelec element discretizations of the magnetostatic problem. The estimator is obtained by adding a gradient correction to the estimator for Nedelec elements of arbitrary degree presented in [J. Gedicke, S. Geevers, and I. Perugia. An equilibrated a posteriori error estimator for arbitrary-order Nedelec elements for magnetostatic problems. arXiv preprint, arXiv:1909.01853 [math.NA], 2019]. This new estimator is proven to be reliable, with reliability constant 1, and efficient, with an efficiency constant that is independent of the polynomial degree of the approximation. These properties are demonstrated in a series of numerical experiments on three-dimensional test problems.

Topik & Kata Kunci

Computer Science Mathematics

Penulis (4)

J. Gedicke

S. Geevers

I. Perugia

J. Schöberl

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APA MLA BibTeX

Gedicke, J., Geevers, S., Perugia, I., Schöberl, J. (2020). A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. https://doi.org/10.1137/20m1333365

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Lihat di Sumber doi.org/10.1137/20m1333365

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Total Sitasi: 9×
Sumber Database: Semantic Scholar
DOI: 10.1137/20m1333365
Akses: Open Access ✓