The Boundary Element Method with Programming: For Engineers and Scientists Book

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.