Encyclopedia of computational mechanics /
Encyclopaedia of computational mechanics
editors, Erwin Stein, René de Borst, Thomas J.R. Hughes.
- 3 volumes : illustrations ; 29 cm
Includes bibliographical references and index.
Fundamentals -- Fundamentals, Introduction and Survey / Finite Difference Methods / Interpolation in h-version Finite Element Spaces / Finite Element Methods / The p-version of the Finite Element Method / Spectral Methods / Adaptive Wavelet Techniques in Numerical Simulation / Plates and Shells: Asymptotic Expansions and Hierarchic Models / Mixed Finite Elements Methods / Meshfree Methods / Discrete Element Method / Boundary Element Methods: Foundation and Error Analysis / Coupling of Boundary Element Methods and Finite Element Methods / Arbitrary Lagrangian--Eulerian Methods / Finite Volume Methods: Foundation and Analysis / Geometrical Modeling of Technical Objects / Mesh Generation and Mesh Adaptivity / Computational Visualization / -- Linear Algebraic Solvers and Eigenvalue Analysis / Multigrid Methods for FEM and BEM Applications / Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM / Domain Decomposition Methods and Preconditioning / Nonlinear Systems and Bifurcations / Adaptive Computational Methods for Parabolic Problems / Time-dependent Problems with the Boundary Integral Equation Method / Finite Element Methods for Maxwell Equations / Solids and Structures -- Solids, Introduction and Survey / Finite Element Method for Elasticity with Error-controlled Approximation and Model Adaptivity / Models and Finite Elements for Thin-walled Structures / Buckling of Structures / Linear and Nonlinear Structural Dynamics / Computational Contact Mechanics / Elastoplastic and Viscoplastic Deformations in Solids and Structures / Crystal Plasticity / Shakedown and Safety Assessment / Damage, Material Instabilities, and Failure / Computational Fracture Mechanics / Homogenization Methods and Multiscale Modeling / Computational Modelling of Damage and Failures in Composite Laminates / Computational Modeling of Forming Processes / Computational Concrete Mechanics / Computational Geomechanics Including Consolidation / Multifield Problems / Solution Procedures -- Computational Biomechanics of Soft Biological Tissue / Identification of Material Parameters for Constitutive Equations / Stochastic Finite Element Methods / Fluid-structure Interaction Problems / Acoustics / Boundary Integral Equation Methods for Elastic and Plastic Problems / Boundary Element Methods for the Dynamic Analysis of Elastic, Viscoelastic, and Piezoelastic Solids / Fluids -- Fluids, Introduction and Survey / Multiscale and Stabilized Methods / Spectral Element and hp Methods / Discontinuous Galerkin Methods for Computational Fluid Dynamics / Vortex Methods / Redistribution -- Incompressible Viscous Flows / Computability and Adaptivity in CFD / Dynamic Multilevel Methods and Turbulence / Turbulence Direct Numerical Simulation and Large-eddy Simulation / Turbulence Closure Models for Computational Fluid Dynamics / Aerodynamics / Industrial Aerodynamics / CFD-based Nonlinear Computational Aeroelasticity / Mixed Finite Element Methods for Non-newtonian Fluid / Combustion / Blood Flow / Finite Element Methods for Fluid Dynamics with Moving Boundaries and Interfaces / Ship Hydrodynamics / Erwin Stein -- Owe Axelsson -- Thomas Apel -- Susanne C. Brenner and Carsten Carstensen -- Ernst Rank, Barna Szabo and Alexander Duster -- Claudio Canuto and Alfio Quarteroni -- Wolfgang Dahmen, Ronald DeVore and Albert Cohen -- Zohar Yosibash, Monique Dauge and Erwan Faou -- Franco Brezzi, Ferdinando Auricchio and Carlo Lovadina -- Timon Rabczuk, Ted Belytschko, Sonia Fernandez-Mendez and Antonio Huerta -- Nenad Bicanic -- W. L. Wendland and G. C. Hsiao -- Ernst P. Stephan -- J. Donea, J.-Ph. Ponthot, A. Rodriguez-Ferran and A. Huerta -- Timothy Barth and Mario Ohlberger -- F.-E. Wolter, M. Reuter and N. Peinecke -- P. Laug, P. L. George, P. J. Frey, H. Borouchaki and E. Saltel -- William J. Schroeder and Mark S. Shephard -- Henk A. van der Vorst -- Wolfgang Hackbusch -- Wolfgang Hackbusch -- V. G. Korneev and U. Langer -- Werner C. Rheinboldt -- K. Eriksson, C. Johnson and A. Logg -- Martin Costabel -- Leszek Demkowicz -- Rene de Borst -- Marcus Ruter and Erwin Stein -- W. A. Wall, M. Bischoff, K.-U. Bletzinger and E. Ramm -- Eduard Riks -- Gregory M. Hulbert -- P. Wriggers and G. Zavarise -- F. Armero -- Jan Schotte and Christian Miehe -- Nestor Zouain -- Rene de Borst -- Anthony R. Ingraffea -- Tarek I. Zohdi -- J. N. Reddy and D. H. Robbins Jr -- D. R. J. Owen and D. Peric -- Roman Lackner, Herbert A. Mang and Christian Pichler -- John P. Carter and John C. Small -- B. A. Schrefler -- Gerhard A. Holzapfel -- R. Mahnken -- Steen Krenk and Miguel A. Gutierrez -- Roger Ohayon -- Peter M. Pinsky and Lonny L. Thompson -- Marc Bonnet -- M. Schanz, M. Kogl, L. Gaul and F. Moser -- Thomas J. R. Hughes -- Thomas J. R. Hughes, Leopoldo P. Franca and Guglielmo Scovazzi -- Robert M. Kirby and George Em Karniadakis -- B. Cockburn -- G. S. Winckelmans -- Rolf Rannacher -- J. Hoffman and C. Johnson -- T. Dubois, R. M. Temam and F. Jauberteau -- Pierre Sagaut -- Paul A. Durbin -- Antony Jameson -- Frederic L. Chalot -- Charbel Farhat -- Patrick D. Anderson, Martien A. Hulsen and Frank P. T. Baaijens -- T. J. Poinsot and D. P. Veynante -- Charles A. Taylor -- Tayfun E. Tezduyar -- Sergio R. Idelsohn, Julio Garcia and Eugenio Onate. Volume 1. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. Volume Rendering. 19. 20. 21. 22. 23. 24. 25. 26. Volume 2. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. Part itioned. 18. 19. 20. 21. 22. 23. 24. Volume 3. 1. 2. 3. 4. 5. Part icle. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18.
"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.