Analysis of FEAST spectral approximations using the DPG discretization

DOI10.1515/cmam-2019-0030zbMath1420.65114arXiv1901.07724OpenAlexW2913463558WikidataQ128136366 ScholiaQ128136366MaRDI QIDQ2324374

Jay Gopalakrishnan, Luka Grubišić, Jeffrey S. Ovall, Benjamin Parker

Publication date: 11 September 2019

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07724

zbMATH Keywords

eigenvalue problemsoptical fibersubspace iterationdiscontinuous Petrov-Galerkin finite element methodsFEAST method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides, Simulation of optical fiber amplifier gain using equivalent short fibers, Spectral discretization errors in filtered subspace iteration, Presentation of the special issue on recent advances in PDE: theory, computations and applications, An algorithm for identifying eigenvectors exhibiting strong spatial localization

Uses Software

• FEAST
• NGSolve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An integral method for solving nonlinear eigenvalue problems
• Breaking spaces and forms for the DPG method and applications including Maxwell equations
• A projection method for generalized eigenvalue problems using numerical integration.
• Perturbation theory for linear operators.
• Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics
• Convergence rates of the DPG method with reduced test space degree
• An analysis of the practical DPG method
• Zolotarev Quadrature Rules and Load Balancing for the FEAST Eigensolver
• A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
• Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov--Galerkin Schemes
• FEAST for Differential Eigenvalue Problems
• Spectral discretization errors in filtered subspace iteration
• A Posteriori Error Control for DPG Methods
• Functional Analysis