Proceedings ArticleDOI
The least squares collocation method for biharmonic-type equations in the plate theory
V. A. Belyaev,L. S. Bryndin,V. P. Shapeev +2 more
- Vol. 2125, Iss: 1, pp 030061
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The article was published on 2019-07-01. It has received 0 citations till now. The article focuses on the topics: Biharmonic equation & Plate theory.read more
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Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition
TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Book
Numerical Methods for Large Eigenvalue Problems
TL;DR: This chapter discusses matrix theory and linear algebra techniques used in spectral approximation, including Krylov subspace methods, and some of the origins of matrix eigenvalue problems.
Book
Fast parallel iterative solution of Poisson's and the biharmonic equations on irregular regions
A. Mayo,Anne Greenbaum +1 more
TL;DR: In this article, iterative methods are used to solve the dense nonsymmetric linear systems arising from the integral equations, which are very amenable to vectorization and parallelization, and parallel and vector implementations are described on shared memory multiprocessors.
Journal ArticleDOI
An optimal-order nonconforming multigrid method for the Biharmonic equation
TL;DR: An optimal-order multigrid method for solving the biharmonic equation using Morley nonconforming finite elements is developed.
Journal ArticleDOI
Multigrid preconditioning for the biharmonic Dirichlet problem
TL;DR: It is proved that a Variable V-cycle preconditioner leads to problems with uniformly bounded condition numbers, and W-cycle convergence is proved only if the number of smoothings “m is sufficiently large.”
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