Analysis of Schrödinger operators with inverse square potentials II: FEM and approximation of eigenfunctions in the periodic case
DOI10.1002/num.21861zbMath1390.65145arXiv1205.2127OpenAlexW2098984972MaRDI QIDQ2875709
Victor Nistor, Ville Uski, Hengguang Li, Eugenie Hunsicker
Publication date: 11 August 2014
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.2127
Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) 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) Schrödinger operator, Schrödinger equation (35J10)
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Cites Work
- Unnamed Item
- Unnamed Item
- A note on the conditioning of a class of generalized finite element methods
- Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
- Analysis of the finite element method for transmission/mixed boundary value problems on general polygonal domains
- Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
- Nonrelativistic inverse square potential, scale anomaly, and complex extension
- On the behavior of solutions to Schrödinger equations with dipole type potentials near the singularity
- Direct and inverse error estimates for finite elements with mesh refinements
- Maxwell eigenvalues and discrete compactness in two dimensions
- Tetrahedral grid refinement
- Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners
- Analysis of a modified Schrödinger operator in 2D: Regularity, index, and FEM
- Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps
- Multigrid methods for the symmetric interior penalty method on graded meshes
- A-priori analysis and the finite element method for a class of degenerate elliptic equations
- On the eigenfunctions of many-particle systems in quantum mechanics
- On the Sharpness of Certain Local Estimates for $\overset{\circ}{H}^1$ Projections into Finite Element Spaces: Influence of a Reentrant Corner
- Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates
- On the finite element method for elliptic problems with degenerate and singular coefficients
- Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues
- Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
- Spectral Approximation for Compact Operators
- Elliptic Partial Differential Equations of Second Order
- On the Conditioning of Finite Element Equations with Highly Refined Meshes
- Mesh Refinement and Windowing Near Edges for Some Elliptic Problem
- Regularity estimates for elliptic boundary value problems in Besov spaces
- A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients
- Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra II: Mesh Refinements and Interpolation
- Analysis of periodic Schrödinger operators: Regularity and approximation of eigenfunctions
- Fundamental Properties of Hamiltonian Operators of Schrodinger Type
- Crouzeix-Raviart type finite elements on anisotropic meshes
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