Adaptive Edge Element Approximation for H(curl) Elliptic Variational Inequalities of Second Kind

DOI10.1137/19M1281320zbMath1447.78016OpenAlexW3037656181MaRDI QIDQ3303720

Irwin Yousept, Jun Zou, Malte Winckler

Publication date: 4 August 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1281320

zbMATH Keywords

convergence analysissuperconductivityedge elementsa posteriori error analysisMoreau-Yosida regularizationcurl-curl elliptic variational inequalities

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Variational methods applied to problems in optics and electromagnetic theory (78M30) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items

Maxwell quasi-variational inequalities in superconductivity ⋮ Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control ⋮ Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities ⋮ Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding

Uses Software

• FEniCS

Cites Work

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