Convergence analysis of Nédélec finite element approximations for a stationary Maxwell’s system

DOI10.1090/CONM/784/15756OpenAlexW4365790314MaRDI QIDQ5890159

Unnamed Author

Publication date: 28 April 2023

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/784/15756

zbMATH Keywords

convergence analysiserror boundsMaxwell systemNédélec finite element

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Functional calculus for linear operators (47A60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• Finite elements in computational electromagnetism
• A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
• Divergence boundary conditions for vector Helmholtz equations with divergence constraints
• Vector potentials in three-dimensional non-smooth domains
• Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law
• Finite Element Methods for Maxwell's Equations
• GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS
• The Mathematical Theory of Finite Element Methods
• Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws

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