Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems
Author:
Funder
Commissariat á l’Énergie Atomique et aux Énergies Alternatives
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s10543-024-01031-y.pdf
Reference36 articles.
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2. Xu, J.: The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids. vol. 56, pp. 215–235. 1996. International GAMM-Workshop on Multi-level Methods (Meisdorf), (1994)
3. Hiptmair, R.: Finite elements in computational electromagnetism. Acta Numer. 11, 237–339 (2002)
4. Hiptmair, R., Pechstein, C.: A review of regular decompositions of vector fields: continuous, discrete, and structure-preserving. In Spectral and high order methods for partial differential equations—ICOSAHOM 2018, vol. 134 of Lect. Notes Comput. Sci. Eng., pp. 45–60. Springer, Cham, (2020)
5. Qiya, Hu.: Convergence of the Hiptmair-Xu preconditioner for Maxwell’s equations with jump coefficients (I): extensions of the regular decomposition. SIAM J. Numer. Anal. 59(5), 2500–2535 (2021)
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