Convergence of Stabilized P1 Finite Element Scheme for Time Harmonic Maxwell’s Equations

DOI10.1007/978-3-030-48634-1_4zbMath1446.65158arXiv1906.02089OpenAlexW3039934251MaRDI QIDQ5117953

Larisa Beilina, Mohammad Asadzadeh

Publication date: 26 August 2020

Published in: Mathematical and Numerical Approaches for Multi-Wave Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02089

zbMATH Keywords

convergencea priori estimatea posteriori estimate\(P_1\) finite elementstime harmonic Maxwell's equations

Mathematics Subject Classification ID

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) A priori estimates in context of PDEs (35B45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Maxwell equations (35Q61)

Related Items (2)

On the Maxwell-wave equation coupling problem and its explicit finite-element solution. ⋮ A stabilized \(P1\) domain decomposition finite element method for time harmonic Maxwell's equations

Cites Work

• Unnamed Item
• Mixed finite elements in \(\mathbb{R}^3\)
• Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements
• Reconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method
• Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Inverse boundary value problem for the dynamical heterogeneous Maxwell's system
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Finite Element Methods for Maxwell's Equations
• Three-dimensional vector microwave tomography: theory and computational experiments
• Imaging of Buried Objects from Experimental Backscattering Time-Dependent Measurements Using a Globally Convergent Inverse Algorithm

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