Discretization Methods and Structural Optimization — Procedures and Applications

Discretization Methods and Structural Optimization — Procedures and Applications

Author: Hans A. Eschenauer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 377

ISBN-13: 3642837077

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In recent years, the Finite Element Methods FEM were more and more employed in development and design departments as very fast working tools in order to determine stresses, deformations, eigenfrequencies etc. for all kinds of constructions under complex loading conditions. Meanwhile. very effective software systems have been developed by various research teams although some mathematical problems (e. g. convergence) have not been solved satisfac torily yet. In order to make further advances and to find a common language between mathe maticians and mechanicians the "Society for Applied Mathematics and Mechanics" (GAMM) agreed on the foundation of a special Committee: "Discretization Methods in Solid Mechanics" focussing on the following problems: - Structuring of various methods (displacement functions, hybrid and mixed approaches, etc. >, - Survey of approach functions (Lagrange-/Hermite-polynominals, Spline-functions), - Description of singularities, - Convergence and stability, - Practical and theoretical optimality to all mentioned issues (single and interacting). One of the basic aims of the GAMM-Committee is the interdisciplinary cooperation between mechanicians, mathematicians, and users which shall be intensified. Thus, on September 22, 1985 the committee decided to hold a seminar on "Structural Optimization" in order to allow an exchange of experiences and thoughts between the experts of finite element methods and those of structural optimization. A GAMM-seminar entitled "Discretization Methods and Structural Optimization - Procedures and Applications" was hold on October 5-7, 1988 at the Unversity of Siegen.


Optimization and Optimal Control

Optimization and Optimal Control

Author: Panos M. Pardalos

Publisher: World Scientific

Published: 2003

Total Pages: 380

ISBN-13: 9812385975

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This volume gives the latest advances in optimization and optimal control which are the main part of applied mathematics. It covers various topics of optimization, optimal control and operations research.


Evolution Equations in Thermoelasticity

Evolution Equations in Thermoelasticity

Author: Reinhard Racke

Publisher: CRC Press

Published: 2000-06-21

Total Pages: 319

ISBN-13: 1482285789

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Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions r


Linear Algebra and Its Role in Systems Theory

Linear Algebra and Its Role in Systems Theory

Author: Richard A. Brualdi

Publisher:

Published: 1985

Total Pages: 524

ISBN-13:

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This collection of 35 papers, resulting from the 1984 AMS-IMS-SIAM Summer Research Conference, displays the cross-developments between linear algebra (including numerical linear algebra) and systems and control theory. Linear algebraists will see how some beautiful and strong results of control and systems theory can be derived using the concepts of linear algebra; control and systems theorists will find numerically viable algorithms which can be developed for some important control problems. A full appreciation of the material requires an advanced course in linear algebra, a basic course in matrix computation, and a first course in control theory.