Asymptotic first eigenvalue estimates for the biharmonic operator on a rectangle, preprint (1996)

by M. P. Owen
Citations:5 - 0 self

Documents Related by Co-Citation

11 A Numerical Existence Proof of Nodal Lines for the First Eigenfunction of the Plate Equation – Christian Wieners - 1996
31 Boundary problems for elliptic equations in domains with conical or angular points – V A Kondrat’ev - 1967
8 five diagonal matrices and the fast numerical computation of the biharmonic equation – L Bauer, E Reiss Block - 1996
7 Zhou: Analysis of vibration eigenfrequencies of a thin plate by the Keller–Rubinow wave method I: clamped boundary conditions with rectangular or circular geometry – G Chen, M Coleman, J
7 Hoffman: Results of the eigenvalue problem for the plate equation – W Hackbusch, G
9 Fundamental tones and buckling loads of clamped plates – M S Ashbaugh, R S Laugesen - 1996
5 On membranes and plates – G Szegő - 1950
5 On the structure of solutions \Delta u = u which satisfy the clamped plate conditions on a right angle – C V Coffman - 1969
13 Rannacher: On the boundary value problem of the biharmonic operator on domains with angular corners – H Blum, R
66 Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using Legendre polynomials – Jie Shen - 1994
5 Efficient Algorithms For Solving A Fourth Order Equation With The Spectral-Galerkin Method – Petter E. Bjørstad, Petter E. Bj��rstad - 1997
9 Maz'ya: On sign variation and the absence of "strong" zeros of solutions of elliptic equations – V A Kozlov, V A Kondrat'ev, V G
11 A multigrid algorithm for the biharmonic problem – P Peisker - 1985
14 Analysis of mixed methods using mesh dependent norms – I Babuˇska, J Osborn, J Pitkäranta - 1980
8 On the numerical solution of the biharmonic equation and the role of squaring matrices for preconditioning – D Braess, P Peisker - 1986
60 An asynchronous parallel supernodal algorithm for sparse Gaussian elimination – James W. Demmel, John R. Gilbert, Xiaoyes. Li - 1999
17 A multilevel algorithm for mixed problems – R Verfürth - 1984
20 Multigrid Methods for Finite Elements – V V Shaidurov - 1995
3 A Note on High Precision Solutions of Two Fourth Order Eigenvalue Problems – Petter E. Bjørstad, Bjørn Peter Tjøstheim - 1998