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 readers 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.
The main readership for this book will be researchers, research students (PhD. D. and postgraduate) and professional engineers in industrial and governmental laboratories. Academic interest will stem from civil, mechanical, geomechanical, biomedical, aerospace and chemical engineering departments, through to the fields of applied mathematics, computer science and physics.
Key Topics Covered Include:
- Fundamentals, Introduction and Survey (Erwin Stein)
- Finite Difference Methods (Owe Axelsson)
- Interpolation in h-version Finite Element Spaces (Thomas Apel)
- Finite Element Methods (Susanne C. Brenner and Carsten Carstensen)
- The p-version of the Finite Element Method (Ernst Rank, Barna Szabo and g
- Spectral Methods (Claudio Canuto and Alfio Quarteroni)
- Adaptive Wavelet Techniques in Numerical Simulation
- Plates and Shells: Asymptotic Expansions and Hierarchic Models
- Mixed Finite Elements Methods (Franco Brezzi, Ferdinando Auricchio and Carlo Lovadina)
- Meshfree Methods (Timon Rabczuk, Ted Belytschko, Sonia Fernandez-Mendez and Antonio Huerta)
- Discrete Element Method (Nenad Bicanic)
- Boundary Element Methods: Foundation and Error Analysis (W. L. Wendland and G. C. Hsiao)
- Coupling of Boundary Element Methods and Finite Element Methods (Ernst P. Stephan)
- Arbitrary Lagrangian--Eulerian Methods (J. Donea, J.-Ph. Ponthot, A. Rodriguez-Ferran and A. Huerta)
- Finite Volume Methods: Foundation and Analysis (Timothy Barth and Mario Ohlberger)
- Geometrical Modeling of Technical Objects (F.-E. Wolter, M. Reuter and N. Peinecke)
- Mesh Generation and Mesh Adaptivity (P. Laug, P. L. George, P. J. Frey, H. Borouchaki and E. Saltel)
- Computational Visualization (William J. Schroeder and Mark S. Shephard)
- Linear Algebraic Solvers and Eigenvalue Analysis (Henk A. van der Vorst)
- Multigrid Methods for FEM and BEM Applications (Wolfgang Hackbusch)
- Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM (Wolfgang Hackbusch)
- Domain Decomposition Methods and Preconditioning (V. G. Korneev and U. Langer)
- Nonlinear Systems and Bifurcations (Werner C. Rheinboldt)
- Adaptive Computational Methods for Parabolic Problems (K. Eriksson, C. Johnson and A. Logg)
- Time-dependent Problems with the Boundary Integral Equation Method (Martin Costabel)
- Finite Element Methods for Maxwell Equations (Leszek Demkowicz)
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