Encyclopedia of Computational Mechanics

Encyclopedia of Computational Mechanics

Online ISBN: 9780470091357

DOI: 10.1002/0470091355

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  1. 1 Fundamentals
    1. 1 Fundamentals: Introduction and Survey
    2. 2 Finite Difference Methods
    3. 3 Interpolation in h-Version Finite Element Spaces
    4. 4 Finite Element Methods
    5. 5 The p-Version of the Finite Element Method
    6. 6 Spectral Methods
    7. 7 Adaptive Wavelet Techniques in Numerical Simulation
    8. 8 Plates and Shells: Asymptotic Expansions and Hierarchic Models
    9. 9 Mixed Finite Element Methods
    10. 10 Meshfree Methods
    11. 11 Discrete Element Methods
    12. 12 Boundary Element Methods: Foundation and Error Analysis
    13. 13 Coupling of Boundary Element Methods and Finite Element Methods
    14. 14 Arbitrary Lagrangian–Eulerian Methods
    15. 15 Finite Volume Methods: Foundation and Analysis
    16. 16 Geometric Modeling for Engineering Applications
    17. 17 Mesh Generation and Mesh Adaptivity: Theory and Techniques
    18. 18 Computational Visualization
    19. 19 Linear Algebraic Solvers and Eigenvalue Analysis
    20. 20 Multigrid Methods for FEM and BEM Applications
    21. 21 Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM
    22. 22 Domain Decomposition Methods and Preconditioning
    23. 23 Nonlinear Systems and Bifurcations
    24. 24 Adaptive Computational Methods for Parabolic Problems
    25. 25 Time-Dependent Problems with the Boundary Integral Equation Method
    26. 26 Finite Element Methods for Maxwell Equations
    27. 27 Uncertainty Quantification with Stochastic Finite Elements
  2. 2 Solids and Structures
    1. 1 Solids and Structures: Introduction and Survey
    2. 2 Finite Element Methods for Elasticity with Error-controlled Discretization and Model Adaptivity
    3. 3 Models and Finite Elements for Thin-Walled Structures
    4. 4 Buckling
    5. 5 Computational Structural Dynamics
    6. 6 Computational Contact Mechanics
    7. 7 Elastoplastic and Viscoplastic Deformations in Solids and Structures
    8. 8 Crystal Plasticity and Evolution of Polycrystalline Microstructure
    9. 9 Shakedown and Safety Assessment
    10. 10 Damage, Material Instabilities, and Failure
    11. 11 Computational Fracture Mechanics
    12. 12 Homogenization Methods and Multiscale Modeling
    13. 13 Computational Modelling of Damage and Failures in Composite Laminates
    14. 14 Computational Modeling of Forming Processes
    15. 15 Computational Concrete Mechanics
    16. 16 Computational Geomechanics Including Consolidation
    17. 17 Multifield Problems
    18. 18 Computational Biomechanics of Soft Biological Tissue
    19. 19 Identification of Material Parameters for Constitutive Equations
    20. 20 Stochastic Finite Element Methods
    21. 21 Fluid-Structure Interaction Problems
    22. 22 Acoustics
    23. 23 Boundary Integral Equation Methods for Elastic and Plastic Problems
    24. 24 Boundary Element Methods for the Dynamic Analysis of Elastic, Viscoelastic, and Piezoelectric Solids
    25. 25 Explicit Finite Element Methods for Large Deformation Problems in Solid Mechanics
  3. 3 Fluids
    1. 1 Fluids: Introduction and Survey
    2. 2 Multiscale and Stabilized Methods
    3. 3 Spectral Element and hp Methods
    4. 4 Discontinuous Galerkin Methods for Computational Fluid Dynamics
    5. 5 Vortex Methods
    6. 6 Incompressible Viscous Flows
    7. 7 Computability and Adaptivity in CFD
    8. 8 Dynamic Multilevel Methods and Turbulence
    9. 9 Turbulence Direct Numerical Simulation and Large-Eddy Simulation
    10. 10 Turbulence Closure Models for Computational Fluid Dynamics
    11. 11 Aerodynamics
    12. 12 Industrial Aerodynamics
    13. 13 CFD-Based Nonlinear Computational Aeroelasticity
    14. 14 The Use of Mixed Finite Element Methods for Viscoelastic Fluid Flow Analysis
    15. 15 Combustion
    16. 16 Blood Flow
    17. 17 Finite Element Methods for Fluid Dynamics with Moving Boundaries and Interfaces
    18. 18 Ship Hydrodynamics
    19. 19 Residual Distribution Schemes: Foundations and Analysis

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