Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering

Error-controlled Adaptive Finite Elements in Solid Mechanics

Science & Math

Wunderlich, Walter

Stein, E.

Wriggers, Peter

Rank, E.

Rannacher, R.

Schweizerhof, K.

Wendland, W.

Wittum, G.

Ramm, Ekkehard

Mathematics

wiley

Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation. The authors begin by describing the behavior of deformable solids through the differential equations for the strength of materials and the theory of elasticity. They next introduce variational principles, including mixed or generalized principles, and derive integral forms of the governing equations. Discussions then move to computational methods, including the finite element method, and these are developed to solve the differential and integral equations. New in the second edition: 
<li>A one-dimensional introduction to the finite element method, complete with illustrations of numerical mesh refinement 
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<li>Expansion of the use of Galerkin's method. 
</li>
<li>Discussion of recent developments in the theory of bending and torsion of thin-walled beams. 
</li>
<li>An appendix summarizing the fundamental equations in differential and variational form 
</li>
<li>Completely new treatment of stability, including detailed examples 
</li>
<li>Discussion of the principal values of geometric properties and stresses 
</li>
<li>Additional exercises As a textbook or as a reference, Mechanics of Structures builds a unified, variational foundation for structure mechanics, which in turn forms the basis for the computational solid mechanics so essential to modern engineering.</li>

Mechanics of Structures Variational and Computational Methods, 2nd Edition

Pilkey, Walter D.

CRC-Press

Statik der Stabtragwerke (German Edition)

Engineering & Transportation

Kiener, Gunter

Engineering

Vieweg+Teubner Verlag

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