Some preliminaries: The standard discrete system |
A direct approach to problems in elasticity |
Generalisation of the finite element concepts - Galerkin-weighted residual and variational approaches |
Plane stress and plane strain |
Axisymmetric stress analysis |
Three-dimensional stress analysis |
Steady-state field problems - heat conduction, electric and magnetic potential, fluid flow etc. |
'Standard' and `hierarchical' element shape functions: some general familiarities of C0 continuity |
Mapped elements and numerical integration - `infinite' and `singularity' elements |
The patch test, reduced integration and non-conforming elements |
Mixed formulation and constraints - complete field methods |
Incompressible problems, mixed methods and other procedures of solution |
Mixed formulation and constraints - incomplete (hybrid) field methods, boundary*Trefftz methods |
Errors, recovery processes and error estimates |
Adaptive finite element refinement |
The time dimension semi-discretisation of field and dynamic problems and analytical solution procedures |
The time dimension discrete approximation in time |
Coupled systems |
Computer procedures for finite element analysis |
Appendices |
Plate and shell bending approximation: thin (Kirchoff) plates and C1 continuity requirements / VOLUME 2: |
'Thick' Reissner-Mindlin plates - irreducible and mixed formulations |
Shells as an assembly of flat elements |
Axisymmetric shells |
Introduction and the equations of fluid dynamics / Volume 3: |
Convection dominated problems - finite element |
A general algorithm for compressible and incompressible flows - the characteristic based split (CBS) algorithm |
Incompressible laminar flow - Newtonian and non-Newtonian fluids |
Free surface, buoyancy and turbulent incompressible flows |
Compressible high-speed gas flow |
Shallow water problems |
Waves |
Computer implementation of the CBS algorithm |
Some preliminaries: The standard discrete system |
A direct approach to problems in elasticity |
Generalisation of the finite element concepts - Galerkin-weighted residual and variational approaches |