A Numerical Study of Eigenvalues of the Hyperbolic Laplacian for Polyhedra with One Cusp
DOI10.1080/10586458.1996.10504339zbMath0870.65092OpenAlexW1995706157MaRDI QIDQ4717336
Wolfgang Huntebrinker, Fritz J. Grunewald
Publication date: 1 December 1996
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.em/1047591148
finite element methodeigenvaluesLaplace operatoreigenfunctionsdiscrete spectrumadaptive refinementdomains of hyperbolic type
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- A posteriori error estimation
- Estimation of the effect of numerical integration in finite element eigenvalue approximation
- Accelerated simultaneous iterations for large finite element eigenproblems
- An adaptive, multi-level method for elliptic boundary value problems
- A note on the effect of numerical quadrature in finite element eigenvalue approximation
- Recent experiences with error estimation and adaptivity. I: Review of error estimators for scalar elliptic problems
- Disappearance of cusp forms in special families
- The \(h,p\) and \(h\)-\(p\) version of the finite element method; basis theory and applications
- Curved, isoparametric, 'quadrilateral' elements for finite element analysis
- Generators and relations for certain special linear groups
- Some Perspectives on the Eigenvalue Problem
- On the Topography of Maass Waveforms for PSL(2, Z)
- Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
- On the Maximum Angle Condition for Linear Tetrahedral Elements
- Adaptivity and mesh generation
- On the Angle Condition in the Finite Element Method
- Regularity and Numerical Solution of Eigenvalue Problems with Piecewise Analytic Data
- A comparison of Lanczos and optimization methods in the partial solution of sparse symmetric eigenproblems
- Chaotic billiards generated by arithmetic groups
- Arithmetical chaos and violation of universality in energy level statistics
- A Numerical Study of Eigenvalues of the Hyperbolic Laplacian for Polyhedra with One Cusp
- The weyl theorem and the deformation of discrete groups
- Methods of conjugate gradients for solving linear systems
This page was built for publication: A Numerical Study of Eigenvalues of the Hyperbolic Laplacian for Polyhedra with One Cusp
