Publisher's Synopsis
Underintegrated methods are investigated with respect to their stability and convergence properties. The focus was on identifying regions where they work and regions where techniques such as hourglass viscosity and hourglass control can be used. Results obtained show that underintegrated methods typically lead to finite element stiffness with spurious modes in the solution. However, problems exist (scalar elliptic boundary value problems) where underintegrated with hourglass control yield convergent solutions. Also, stress averaging in underintegrated stiffness calculations does not necessarily lead to stable or convergent stress states. Oden, J. Tinsley APPROXIMATION; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL FLUID DYNAMICS; FINITE ELEMENT METHOD; MATRIX METHODS; NONLINEAR SYSTEMS; NUMERICAL INTEGRATION; NUMERICAL STABILITY; STRUCTURAL MEMBERS; THERMODYNAMICS; CONVERGENCE; INCOMPRESSIBILITY; KERNEL FUNCTIONS; MATRICES (MATHEMATICS); SOLID MECHANICS; STIFFNESS; THERMODYNAMIC PROPERTIES; VISCOUS FLUIDS...
