Journal ArticleDOI
Automatic choice of global shape functions in structural analysis
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This article is published in AIAA Journal.The article was published on 1978-05-01. It has received 276 citations till now. The article focuses on the topics: Shape analysis (digital geometry) & Static analysis.read more
Citations
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An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
TL;DR: Barrault et al. as discussed by the authors presented an efficient reduced-basis discretization procedure for partial differential equations with nonaffine parameter dependence, replacing non-affine coefficient functions with a collateral reducedbasis expansion, which then permits an affine offline-online computational decomposition.
Journal ArticleDOI
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations
TL;DR: (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely parametrized elliptic coercive partial differential equations are considered.
Book
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
TL;DR: In this article, the authors provide a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations, including model construction, error estimation and computational efficiency.
Journal ArticleDOI
Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods
Christophe Prud'Homme,Dimitrios V. Rovas,Karen Veroy,Luc Machiels,Yvon Maday,Anthony T. Patera,Gabriel Turinici +6 more
TL;DR: The method is ideally suited for the repeated and rapid evaluations required in the context of parameter estimation, design, optimization, and real-time control.
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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
TL;DR: In this paper, the authors extended the reduced-basis approximations developed earlier for linear elliptic and parabolic partial differential equations with affine parameter dependence to problems in volving.
References
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Journal ArticleDOI
The Linearization of the Prebuckling State and Its Effect on the Determined Instability Loads
Arnold D. Kerr,Martin T. Soifer +1 more
TL;DR: In this article, the effect of the linearization of the prebuckled state upon the determined buckling loads is studied first on an elastic system of two degrees of freedom and then on a shallow arch subjected to a uniform lateral load.
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Bifurcation Buckling as an Approximation of the Collapse Load for General Shells
B. O. Almroth,F. A. Brogan +1 more
TL;DR: The STAGS program as discussed by the authors performs a nonlinear analysis of shells by using a two-dimensional finite difference grid and an energy principle, and it applies to any shell for which a reference surface and a suitable set of gridlines following shell boundaries can be defined.
Journal ArticleDOI
Automated choice of procedures in computerized structural analysis
B.O. Almroth,F.A. Brogan +1 more
TL;DR: This paper contains a discussion of the difficulties involved in modeling and in the choice of solution procedures, and the possibility of designing computer programs so that sound selection of procedures can be made automatically if the user declines to state a preference.