\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem
DOI10.1137/21m141909xarXiv2105.07770OpenAlexW4384560358MaRDI QIDQ6171375
Martin Vohralík, T. Chaumont-Frelet
Publication date: 18 July 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.07770
Sobolev spacefinite element methodweak formulationMaxwell equationspiecewise polynomial approximationcurl-curl problema posteriori error boundequilibrated flux reconstructiondivergence-free decomposition
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Maxwell equations (35Q61) PDE constrained optimization (numerical aspects) (49M41)
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