Multi-neighboring grids schemes for solving PDE eigen-problems

DOI10.1007/S11425-013-4731-9zbMath1306.65273OpenAlexW2273155722MaRDI QIDQ476539

Jiachang Sun

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4731-9

zbMATH Keywords

B-splinesdiscrete Rayleigh quotientLaplace eigenproblemsmulti-neighboring grids schemesPDE eigenproblem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Convergence and optimal complexity of adaptive finite element eigenvalue computations
• A lumped mass finite element method for vibration analysis of elastic plate-plate structures
• Stability analysis of the cell centered finite-volume MUSCL method on unstructured grids
• A practical guide to splines
• On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
• New schemes with fractal error compensation for PDE eigenvalue computations
• Function Value Recovery and Its Application in Eigenvalue Problems
• Adaptive finite element methods for the Laplace eigenvalue problem
• Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle
• Enhancing Eigenvalue Approximation by Gradient Recovery
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