History and Use of High Order Finite Element Methods in Professional Practice
Abstract: Whenever engineering decisions are based on the results of numerical simulation there is an implied expectation of reliability. Without such expectation it would not be possible to justify the time and cost of a simulation project. If simulation produces misleading information then it has a negative economic value with possibly severe consequences. There are many well documented instances of expensive repairs, retrofits, project delays and serious safety issues arising from lack of quality assurance in numerical simulation. A new NAFEMS publication addresses the importance of credibility in numerical simulation from the perspective of management.
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“The p-type element has been used to great advantage in the finite element system ESRD StressCheck®, . This software provides the engineer with the means to conduct solution verification in an extremely straightforward manner by simply increasing the degree of the element, monitoring convergence and using Richardson extrapolation reliably to estimate the error. This can be conducted automatically by the software thereby enabling the engineer to concentrate on the engineering rather than the simulation. StressCheck® has also been used to develop ESRD’s Handbook and Toolbox applications. The first of these provides engineers with a repository of parameterised standard problems of the type found in texts like Roark’s “Formulas for Stress and Strain”, . The second, Toolbox, is a tool that can be used to parameterise a company’s range of components for rapid and reliable analysis by non-expert analysis. Toolbox then is an exemplary of the way in which the democratisation of simulation can be applied.”
Angus Ramsay, PhDEngineering Director, Ramsay Maunder Associates