Eigenvalue approximations by mixed methods

DOI10.1051/m2an/1978120100271zbMath0434.65032OpenAlexW2280299249MaRDI QIDQ3873406

Publication date: 1978

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193309

zbMATH Keywords

numerical tests Hilbert spaces mixed finite elements finite-dimensional approximation approximation error fourth order problems second order problems abstract eigenvalue problem continuous linear forms free vibrations of a clamped plate

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with linear operators (65J10)

Related Items

A high accuracy spectral method based on \(\min\)/\(\max\) principle for biharmonic eigenvalue problems on a spherical domain, Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients, Solving biharmonic eigenvalue problem with Navier boundary condition via Poisson solvers on non-convex domains, Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains, A novel spectral method and error analysis for fourth-order equations in a spherical region, An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain, An efficient spectral method and rigorous error analysis based on dimension reduction scheme for fourth order problems, Diagonalized Legendre spectral method for second-order eigenvalue problems, Eigenvalue Approximation by Mixed and Hybrid Methods, Unnamed Item, A mixed virtual element method for the vibration problem of clamped Kirchhoff plate, A virtual element method for the vibration problem of Kirchhoff plates, Spectral approximation of elliptic operators by the Hybrid High-Order method, The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem, SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators, A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain, Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems, Eigenvalue approximation by mixed non-conforming finite element methods, A piecewise linear finite element method for the buckling and the vibration problems of thin plates, A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations, Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D, A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems, A mixed finite element method for fourth order eigenvalue problems, A hybrid finite element method to compute the free vibration frequencies of a clamped plate, On the approximation of the spectrum of the Stokes operator, A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type, A finite element method for the buckling problem of simply supported Kirchhoff plates, Direct solvers for the biharmonic eigenvalue problems using Legendre polynomials

Cites Work