Guaranteed lower eigenvalue bounds for the Euler-Bernoulli beam are obtained from interpolation error estimates with known constants, yielding two-sided bounds that converge for both linear and nonlinear Gao beam models.
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A local multilevel preconditioned Jacobi-Davidson solver for singular elliptic eigenvalue problems on adaptive meshes achieves O(N) complexity and uniform convergence independent of mesh level and coefficient discontinuities.
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Two-sided eigenvalue bounds for the Euler-Bernoulli beam
Guaranteed lower eigenvalue bounds for the Euler-Bernoulli beam are obtained from interpolation error estimates with known constants, yielding two-sided bounds that converge for both linear and nonlinear Gao beam models.
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Local Multilevel Preconditioned Jacobi-Davidson Method for Elliptic Eigenvalue Problems on Adaptive Meshes
A local multilevel preconditioned Jacobi-Davidson solver for singular elliptic eigenvalue problems on adaptive meshes achieves O(N) complexity and uniform convergence independent of mesh level and coefficient discontinuities.