Encyclopedia of computational mechanics / editors, Erwin Stein, René de Borst, Thomas J.R. Hughes.

Includes bibliographical references and index.

Volume 1. Fundamentals -- 1. Fundamentals, Introduction and Survey / Erwin Stein -- 2. Finite Difference Methods / Owe Axelsson -- 3. Interpolation in h-version Finite Element Spaces / Thomas Apel -- 4. Finite Element Methods / Susanne C. Brenner and Carsten Carstensen -- 5. The p-version of the Finite Element Method / Ernst Rank, Barna Szabo and Alexander Duster -- 6. Spectral Methods / Claudio Canuto and Alfio Quarteroni -- 7. Adaptive Wavelet Techniques in Numerical Simulation / Wolfgang Dahmen, Ronald DeVore and Albert Cohen -- 8. Plates and Shells: Asymptotic Expansions and Hierarchic Models / Zohar Yosibash, Monique Dauge and Erwan Faou -- 9. Mixed Finite Elements Methods / Franco Brezzi, Ferdinando Auricchio and Carlo Lovadina -- 10. Meshfree Methods / Timon Rabczuk, Ted Belytschko, Sonia Fernandez-Mendez and Antonio Huerta -- 11. Discrete Element Method / Nenad Bicanic -- 12. Boundary Element Methods: Foundation and Error Analysis / W. L. Wendland and G. C. Hsiao -- 13. Coupling of Boundary Element Methods and Finite Element Methods / Ernst P. Stephan -- 14. Arbitrary Lagrangian--Eulerian Methods / J. Donea, J.-Ph. Ponthot, A. Rodriguez-Ferran and A. Huerta -- 15. Finite Volume Methods: Foundation and Analysis / Timothy Barth and Mario Ohlberger -- 16. Geometrical Modeling of Technical Objects / F.-E. Wolter, M. Reuter and N. Peinecke -- 17. Mesh Generation and Mesh Adaptivity / P. Laug, P. L. George, P. J. Frey, H. Borouchaki and E. Saltel -- 18. Computational Visualization / William J. Schroeder and Mark S. Shephard -- Volume Rendering. -- 19. Linear Algebraic Solvers and Eigenvalue Analysis / Henk A. van der Vorst -- 20. Multigrid Methods for FEM and BEM Applications / Wolfgang Hackbusch -- 21. Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM / Wolfgang Hackbusch -- 22. Domain Decomposition Methods and Preconditioning / V. G. Korneev and U. Langer -- 23. Nonlinear Systems and Bifurcations / Werner C. Rheinboldt -- 24. Adaptive Computational Methods for Parabolic Problems / K. Eriksson, C. Johnson and A. Logg -- 25. Time-dependent Problems with the Boundary Integral Equation Method / Martin Costabel -- 26. Finite Element Methods for Maxwell Equations / Leszek Demkowicz -- Volume 2. Solids and Structures -- 1. Solids, Introduction and Survey / Rene de Borst -- 2. Finite Element Method for Elasticity with Error-controlled Approximation and Model Adaptivity / Marcus Ruter and Erwin Stein -- 3. Models and Finite Elements for Thin-walled Structures / W. A. Wall, M. Bischoff, K.-U. Bletzinger and E. Ramm -- 4. Buckling of Structures / Eduard Riks -- 5. Linear and Nonlinear Structural Dynamics / Gregory M. Hulbert -- 6. Computational Contact Mechanics / P. Wriggers and G. Zavarise -- 7. Elastoplastic and Viscoplastic Deformations in Solids and Structures / F. Armero -- 8. Crystal Plasticity / Jan Schotte and Christian Miehe -- 9. Shakedown and Safety Assessment / Nestor Zouain -- 10. Damage, Material Instabilities, and Failure / Rene de Borst -- 11. Computational Fracture Mechanics / Anthony R. Ingraffea -- 12. Homogenization Methods and Multiscale Modeling / Tarek I. Zohdi -- 13. Computational Modelling of Damage and Failures in Composite Laminates / J. N. Reddy and D. H. Robbins Jr -- 14. Computational Modeling of Forming Processes / D. R. J. Owen and D. Peric -- 15. Computational Concrete Mechanics / Roman Lackner, Herbert A. Mang and Christian Pichler -- 16. Computational Geomechanics Including Consolidation / John P. Carter and John C. Small -- 17. Multifield Problems / B. A. Schrefler -- Part itioned. Solution Procedures -- 18. Computational Biomechanics of Soft Biological Tissue / Gerhard A. Holzapfel -- 19. Identification of Material Parameters for Constitutive Equations / R. Mahnken -- 20. Stochastic Finite Element Methods / Steen Krenk and Miguel A. Gutierrez -- 21. Fluid-structure Interaction Problems / Roger Ohayon -- 22. Acoustics / Peter M. Pinsky and Lonny L. Thompson -- 23. Boundary Integral Equation Methods for Elastic and Plastic Problems / Marc Bonnet -- 24. Boundary Element Methods for the Dynamic Analysis of Elastic, Viscoelastic, and Piezoelastic Solids / M. Schanz, M. Kogl, L. Gaul and F. Moser -- Volume 3. Fluids -- 1. Fluids, Introduction and Survey / Thomas J. R. Hughes -- 2. Multiscale and Stabilized Methods / Thomas J. R. Hughes, Leopoldo P. Franca and Guglielmo Scovazzi -- 3. Spectral Element and hp Methods / Robert M. Kirby and George Em Karniadakis -- 4. Discontinuous Galerkin Methods for Computational Fluid Dynamics / B. Cockburn -- 5. Vortex Methods / G. S. Winckelmans -- Part icle. Redistribution -- 6. Incompressible Viscous Flows / Rolf Rannacher -- 7. Computability and Adaptivity in CFD / J. Hoffman and C. Johnson -- 8. Dynamic Multilevel Methods and Turbulence / T. Dubois, R. M. Temam and F. Jauberteau -- 9. Turbulence Direct Numerical Simulation and Large-eddy Simulation / Pierre Sagaut -- 10. Turbulence Closure Models for Computational Fluid Dynamics / Paul A. Durbin -- 11. Aerodynamics / Antony Jameson -- 12. Industrial Aerodynamics / Frederic L. Chalot -- 13. CFD-based Nonlinear Computational Aeroelasticity / Charbel Farhat -- 14. Mixed Finite Element Methods for Non-newtonian Fluid / Patrick D. Anderson, Martien A. Hulsen and Frank P. T. Baaijens -- 15. Combustion / T. J. Poinsot and D. P. Veynante -- 16. Blood Flow / Charles A. Taylor -- 17. Finite Element Methods for Fluid Dynamics with Moving Boundaries and Interfaces / Tayfun E. Tezduyar -- 18. Ship Hydrodynamics / Sergio R. Idelsohn, Julio Garcia and Eugenio Onate.

"Over the past four decades computational methods in applied mechanics have developed into valuable tools that are widely used across both industry and academia. The applications are numerous: aerospace structures, civil engineering structures, geotechnics, flow problems, automotive industry, geo-environmental modelling, biomechanics, electromagnetism, metal forming, to name but a few. This three volume set provides the most comprehensive and up-to-date collection of knowledge about this increasingly important area of engineering science. The Encyclopedia provides a well-rounded and practical knowledge base that will serve as a foundation for the reader's research and practice in developing designs and in understanding, assessing and managing numerical analysis systems. Containing over 70 in-depth and thoroughly cross referenced articles on key topics from internationally renowned researchers, the Encyclopedia of Computational Mechanics will cover three key areas. Volume One: Fundamentals will cover the basic concepts behind discretization, interpolation, error estimation, solvers, computer algebra and geometric modelling. Volume Two: Solids and Volume Three: Fluids will build on this foundation with extensive, in-depth coverage of industrial applications."--Publisher's website.

Machine converted from AACR2 source record.