Guaranteed lower eigenvalue bounds for two spectral problems arising in fluid mechanics
DOI10.1016/j.camwa.2021.03.005OpenAlexW3152018391MaRDI QIDQ2019601
Publication date: 21 April 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.03.005
nonconforming finite elementsguaranteed lower boundspositive semi-definite bilinear formsspectral problems in fluid mechanics
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) 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)
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Cites Work
- Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.
- Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods
- Eigenvalue approximations from below using Morley elements
- Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods
- Constructing both lower and upper bounds for the eigenvalues of elliptic operators by nonconforming finite element methods
- An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations
- A framework of verified eigenvalue bounds for self-adjoint differential operators
- A discontinuous Steklov problem with an application to water waves
- Eigenfrequencies of a tube bundle placed in a confined fluid
- Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
- Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
- Natural frequencies of tube bundle in an incompressible fluid
- Eigenvalue approximation from below using non-conforming finite elements
- Guaranteed lower eigenvalue bounds for the biharmonic equation
- Guaranteed lower bounds for eigenvalues of elliptic operators
- Verified Eigenvalue Evaluation for the Laplacian over Polygonal Domains of Arbitrary Shape
- Finite element approximation of eigenvalue problems
- Guaranteed lower bounds for eigenvalues
- Resonant frequencies in a container with a vertical baffle
- The Role of the Strengthened Cauchy–Buniakowskii–Schwarz Inequality in Multilevel Methods
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Asymptotic Analysis Relating Spectral Models in Fluid--Solid Vibrations
- Finite element computation of sloshing modes in containers with elastic baffle plates
- The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension
- Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods
- Guaranteed lower bounds for eigenvalues of the Stokes operator in any dimension
- A correction method for finding lower bounds of eigenvalues of the second‐order elliptic and Stokes operators
- Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem
- A virtual element method for the Steklov eigenvalue problem
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