Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility

DOI10.1007/s00211-021-01205-8OpenAlexW3169366236MaRDI QIDQ2038429

Martin Halla

Publication date: 6 July 2021

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05029

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (6)

Complex-scaled infinite elements for resonance problems in heterogeneous open systems ⋮ Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems ⋮ Radial Complex Scaling for Anisotropic Scalar Resonance Problems ⋮ On the approximation of electromagnetic fields by edge finite elements. IV: Analysis of the model with one sign-changing coefficient ⋮ On the Well-posedness of the Damped Time-harmonic Galbrun Equation and the Equations of Stellar Oscillations ⋮ Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems

Cites Work

• Unnamed Item
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• Time harmonic wave diffraction problems in materials with sign-shifting coefficients
• Holomorphic operator functions of one variable and applications. Methods from complex analysis in several variables
• Regular operator approximation theory
• Classes of linear operators. Vol. I
• Mesh requirements for the finite element approximation of problems with sign-changing coefficients
• Boundary element methods for Maxwell's equations on non-smooth domains
• Convergence of infinite element methods for scalar waveguide problems
• Diskrete Konvergenz linearer Operatoren. I
• Approximation von Eigenwertproblemen bei nichtlinearer Parameterabhängigkeit
• Finite element approximation of eigenvalue problems
• Interior transmission eigenvalue problem for Maxwell's equations: the T -coercivity as an alternative approach
• Finite element exterior calculus: from Hodge theory to numerical stability
• A local compactness theorem for Maxwell's equations
• On the discrete approximation of eigenvalue problems with holomorphic parameter dependence
• On spectral approximation. Part 1. The problem of convergence
• On spectral approximation. Part 2. Error estimates for the Galerkin method
• On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
• Approximation in eigenvalue problems for holomorphic fredholm operator functions I
• Approximation in eigenvalue problems for holomorphic fredholm operator functions Ii (Convergence Rate)
• Finite Element Methods for Maxwell's Equations
• On variational eigenvalue approximation of semidefinite operators
• Electromagnetic Steklov eigenvalues: approximation analysis
• Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems
• Zur Theorie linearer approximationsregulärer Operatoren. I
• Remarks on the Discretization of Some Noncoercive Operator with Applications to Heterogeneous Maxwell Equations

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