A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points
From MaRDI portal
Publication:1670417
DOI10.1007/s10444-017-9580-6OpenAlexW2964066806MaRDI QIDQ1670417
Laura Wendelberger, Alan E. Lindsay, Bryan D. Quaife
Publication date: 5 September 2018
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.00160
Estimates of eigenvalues in context of PDEs (35P15) Systems of nonsingular linear integral equations (45F05)
Related Items
Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions ⋮ A boundary integral equation approach to computing eigenvalues of the Stokes operator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second kind integral equation formulation for the modified biharmonic equation and its applications
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
- A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Singular variation of domains and eigenvalues of the Laplacian
- An accurate algorithm for computing the eigenvalues of a polygonal membrane
- On the fundamental eigenfunctions of a clamped punctured disk
- A mixed finite element method for the biharmonic eigenvalue problems of plate bending
- Plate vibration under irregular internal supports.
- Computing eigenmodes of elliptic operators using radial basis functions
- Approximation of Dirichlet eigenvalues on domains with small holes
- In any dimension a ``clamped plate with a uniform weight may change sign
- Low-complexity computation of plate eigenmodes with Vekua approximations and the method of particular solutions
- A numerical investigation of the solution of a class of fourth–order eigenvalue problems
- Asymptotic Analysis of Localized Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems
- Strong Localized Perturbations of Eigenvalue Problems
- Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems
- Perturbative Analysis of the Method of Particular Solutions for Improved Inclusion of High-Lying Dirichlet Eigenvalues
- On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle
- Elliptic Partial Differential Equations of Second Order
- Hybrid Gauss-Trapezoidal Quadrature Rules
- Eigenmodes of Isospectral Drums
- High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
- The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates
- The Transition to a Point Constraint in a Mixed Biharmonic Eigenvalue Problem
- A GSVD formulation of a domain decomposition method forplanar eigenvalue problems
- Vibrations of thin plates with small clamped patches
- Fast Computation of High‐Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann‐to‐Dirichlet Map
- Approximations and Bounds for Eigenvalues of Elliptic Operators
- Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps
- Asymptotics of eigenvalues of a plate with small clamped zone
- The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
