Functional a posteriori estimates for Maxwell's equation

DOI10.1007/s10958-007-0091-8zbMath1202.35316OpenAlexW1968082158MaRDI QIDQ613699

Sergey I. Repin

Publication date: 21 December 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0091-8

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25)

Related Items (4)

Guaranteed Error Bounds for Conforming Approximations of a Maxwell Type Problem ⋮ Robust a posteriori error estimation for finite element approximation to \(\boldsymbol{H}(\mathbf{curl})\) problem ⋮ Adaptive inexact semismooth Newton methods for the contact problem between two membranes ⋮ Stable broken 𝐻(𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem

Cites Work

• Finite element approximation of the Navier-Stokes equations
• A posteriori error estimation for nonlinear variational problems by duality theory
• On a inequality of Friedrichs.
• Multigrid Method for Maxwell's Equations
• Finite Element Methods for Maxwell's Equations
• A posteriori error estimation for variational problems with uniformly convex functionals
• Residual based a posteriori error estimators for eddy current computation
• Equilibrated residual error estimator for edge elements
• Parallel multigrid 3D Maxwell solvers

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