Solving elliptic eigenproblems with adaptive multimesh \(hp\)-FEM

DOI10.1016/j.cam.2021.113528zbMath1475.65181OpenAlexW3139340346MaRDI QIDQ2029413

Pavel Šolín, Stefano Giani

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113528

zbMATH Keywords

eigenproblemautomatic adaptivityhigher-order finite element methodmultimesh \(hp\)-FEM

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

Conditions for minimum stiffness of proportionally loaded structures

Uses Software

• Hermes2D
• pysparse
• PyFemax

Cites Work

• Benchmark results for testing adaptive finite element eigenvalue procedures. II: Conforming eigenvector and eigenvalue estimates.
• An iterative adaptive finite element method for elliptic eigenvalue problems
• Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications
• Comparison of multimesh \(hp\)-FEM to interpolation and projection methods for spatial coupling of thermal and neutron diffusion calculations
• An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations
• Monolithic discretization of linear thermoelasticity problems via adaptive multimesh \(hp\)-FEM
• Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures
• Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
• Hermes2D, a C++ library for rapid development of adaptive \(hp\)-FEM and \(hp\)-DG solvers
• A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
• Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
• Spectral discretization errors in filtered subspace iteration
• A posteriori error control for finite element approximations of elliptic eigenvalue problems

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