Stable broken 𝐻(𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem

Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralı́k

Type: Article

Publication Date: 2021-09-28

Citations: 11

DOI: https://doi.org/10.1090/mcom/3673

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+ PDF Chat	Singularities of Maxwell interface problems	1999	Martin Costabel Monique Dauge Serge Nicaise
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+	Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions	1997	Paolo Fernandes Gianni Gilardi
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+ PDF Chat	Hilbert space methods in the theory of harmonic integrals	1955	Matthew P. Gaffney
+	A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes	2003	Serge Nicaise E. Creus�
+	A local compactness theorem for Maxwell's equations	1980	Ch. Weber P. Werner
+	ESTIMATES OF BEST CONSTANTS FOR WEIGHTED POINCARÉ INEQUALITIES ON CONVEX DOMAINS	2006	Seng-Kee Chua Richard L. Wheeden
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Action	Title	Year	Authors
+	\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	2023	Théophile Chaumont-Frelet Martin Vohralı́k
+	A Posteriori Error Estimation for the Optimal Control of Time-Periodic Eddy Current Problems	2023	Monika Wolfmayr
+	$p$-robust equilibrated flux reconstruction in ${\boldsymbol H}(\mathrm{curl})$ based on local minimizations. Application to a posteriori analysis of the curl-curl problem.	2021	Théophile Chaumont-Frelet Martin Vohralı́k
+	A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	2023	T. Chaumont-Frelet
+ PDF Chat	Computational Lower Bounds of the Maxwell Eigenvalues	2023	Dietmar Gallistl Vladislav Olkhovskiy
+ PDF Chat	Stable Liftings of Polynomial Traces on Tetrahedra	2024	Charles Parker Endre Süli
+ PDF Chat	Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	2023	Théophile Chaumont-Frelet
+	Constrained and Unconstrained Stable Discrete Minimizations for p-Robust Local Reconstructions in Vertex Patches in the de Rham Complex	2024	Théophile Chaumont-Frelet Martin Vohralı́k