Parallel Algorithms and Cluster Computing (eBook)

Acknowledgement 5
Preface 6
Contents 8
Implementions 10
Parallel Programming Models for Irregular Algorithms 11
Basic Approach to Parallel Finite Element Computations: The DD Data Splitting 32
A Performance Analysis of ABINIT on a Cluster System 43
Some Aspects of Parallel Postprocessing for Numerical Simulation 58
Algorithms 70
Efficient Preconditioners for Special Situations in Finite Element Computations 71
Nitsche Finite Element Method for Elliptic Problems with Complicated Data 90
Hierarchical Adaptive FEM at Finite Elastoplastic Deformations 108
Wavelet Matrix Compression for Boundary Integral Equations 131
Numerical Solution of Optimal Control Problems for Parabolic Systems 152
Applications 171
Parallel Simulations of Phase Transitions in Disordered Many- Particle Systems 172
Localization of Electronic States in Amorphous Materials: Recursive Green’s Function Method and the Metal- Insulator Transition at E = 0 201
Optimizing Simulated Annealing Schedules for Amorphous Carbons 225
Amorphisation at Heterophase Interfaces 233
Energy-Level and Wave-Function Statistics in the Anderson Model of Localization 253
Fine Structure of the Integrated Density of States for Bernoulli– Anderson Models 265
Modelling Aging Experiments in Spin Glasses 279
Random Walks on Fractals 301
Lyapunov Instabilities of Extended Systems 312
The Cumulant Method for Gas Dynamics 331
Index 357