\(hp\)-adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains

DOI10.1016/j.amc.2015.01.031zbMath1410.65436OpenAlexW2069572644MaRDI QIDQ669756

Stefano Giani

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.031

zbMATH Keywords

eigenvalue problemA posteriori error estimatormulti-level methoddiscontinuous Galerkin\(hp\)-adaptivity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation, Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion, The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems, Spectral approximation of elliptic operators by the Hybrid High-Order method, SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators, An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients, Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D, Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems

Uses Software

• MUMPS
• ARPACK

Cites Work

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• AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS
• ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
• A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs
• ARPACK Users' Guide
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A Comparison of hp -Adaptive Strategies for Elliptic Partial Differential Equations