The Boundary Element Method with Programming

Preface.- Acknowledgements.- Preliminaries: Introduction; Overview of book; Mathematical preliminaries; Conclusions; References.- Programming: Strategies; FORTAN 90/95/2000 features; Charts and pseudo code; Parallel programming; BLAS libraries; Pre- and Postprocessing; Conclusions; Exercises; References.- Discretisation and Interpolation: Introduction; One-dimensional boundary elements; Two-dimesional elements; Three-dimensional cells; Elements of infinite extent; Subroutines for shape functions; Interpolation; Coordinate transformation; Differential geometry; Integration over elements; PROGRAM 3.1: Calculation of surface area; Concluding remarks; Exercises; References.- Material Modelling and Fundamental Solutions: Introduction; Steady state potential problems; Static elasticity problems; Conclusions; References.- Boundary Integral Equations: Introduction; Trefftz method; PROGRAM 5.1: Flow around cylinder, Trefftz method; Direct method; Computation of results inside the domain; PROGRAM 5.2: Flow around cylinder, direct method; Conclusions; Exercises; References.- Boundary Element Methods -- Numerical Implementation: Introduction; Discretisation with isoparametric elements; Integration of kernel shape function products; Conclusions; Exercises; References.- Assembly and Solution: Introduction; Assembly of system of equations; Solution of system of equations; PROGRAM 7.1: general purpose program, direct method, one region; Conclusions; Exercises; References.- Element-by-element techniques and Parallel Programming: Introduction; The Element by Element Concept; PROGRAM 8.1 : Replacing direct by iterative solution; PROGRAM 8.2 : Replacing assembly by element-by-element procedure; PROGRAM 8.3 : Parallelising the element-by-element procedure; Conclusions; References.- Postprocessing : Introduction; Computation of boundary results; Computation of internal results; PROGRAM 9.1: Postprocessor; Graphical display of results; Conclusions; Exercises; References.- Test Examples : Introduction; Cantilever beam; Circular excavation in infinite domain; Square excavation in infinite elastic space; Spherical excavation; Conclusions; References.- Multiple regions: Introduction; Stiffness matrix assembly; Computer implementation; Program 11.1: General purpose program, direct method, multiple regions; Conclusions; Exercises; References.- Dealing with corners and changing geometry: Introduction; Corners and edges; Dealing with changing geometry; Alternative Strategy; Conclusions; References.- Body Forces: Introduction; Gravity; Internal concentrated forces; Internal distributed line forces; Initial strains; Initial stresses; Numerical integration over cells; Implementation; Sample input file and results; Conclusions; Exercises; References.- Dynamic Analysis: Introduction; Scalar wave equation, frequency domain; Scalar wave equation, time domain; Elastodynamics; Multiple regions; Examples; References.- Nonlinear Problems: Introduction; General solution procedure; Plasticity; Contact problems; Conclusions; References.- Coupled Boundary Element/ Finite Element Analysis: Introduction; Coupling theory; Example; Dynamics; Conclusion; References.- Industrial Applications: Introduction; Mechanical engineering; Geotechnical Engineering; Geological engineering; Civil engineering; Reservoir engineering; Conclusions; References.- Advanced topics: Introduction; Heterogeneous Domains; Linear inclusions; Piezo-electricity; Conclusions; References.- Appendix.