Singularities of the quad curl problem

DOI10.1016/j.jde.2017.12.032zbMath1391.35365OpenAlexW2784142328MaRDI QIDQ683784

Serge Nicaise

Publication date: 9 February 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.12.032

zbMATH Keywords

singularitiesvariational approachMaxwell systemfourth-order problemregularity, smooth domain, non smooth domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45) Electromagnetic theory (general) (78A25)

Related Items (10)

A priori and a posteriori error estimates for the quad-curl eigenvalue problem ⋮ Mixed schemes for quad-curl equations ⋮ \(H(\mathrm{curl}^2)\)-conforming spectral element method for quad-curl problems ⋮ A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems ⋮ The curl–curl conforming virtual element method for the quad-curl problem ⋮ A new error analysis of a mixed finite element method for the quad-curl problem ⋮ A curl-conforming weak Galerkin method for the quad-curl problem ⋮ Error analysis of a decoupled finite element method for quad-curl problems ⋮ A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE QUAD-CURL PROBLEM ⋮ H(curl2)-conforming quadrilateral spectral element method for quad-curl problems

Cites Work

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• Singularities and constructive methods for their treatment. Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983
• A mixed FEM for the quad-curl eigenvalue problem
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Numerical determination of the fundamental eigenvalue for the Laplace operator on a spherical domain
• Hinged and supported plates with corners
• Singularities of electromagnetic fields in polyhedral domains
• A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media
• A Discontinuous Galerkin Method for the Fourth-Order Curl Problem
• Finite Element Methods for Maxwell's Transmission Eigenvalues
• A nonconforming finite element method for fourth order curl equations in ℝ³
• On the Green's Function for the Biharmonic Equation in an Infinite Wedge
• Finite Element Methods for Navier-Stokes Equations
• General conical singularities in three‐dimensional Poisson problems
• Vector potentials in three-dimensional non-smooth domains
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• Finite Element Methods for Maxwell's Equations
• Mixed Finite Element Methods and Applications

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