The idea of achieving convergence by increasing the polynomial degree (p) of the approximating functions on a fixed mesh, known as the p-version of the finite element method, was at odds with the prevailing view in the finite element research community in the 1960s and 70s. But why?
It is generally recognized that explainable artificial intelligence (XAI) will play an important role in numerical simulation where it will impose the requirements of reliability, traceability, and auditability. These requirements will necessitate clear thinking about the nature of mathematical models, the trustworthiness of their predictions, and ways to improve their reliability.
The term “simulation” is often used interchangeably with “finite element modeling” in the engineering literature and marketing materials. It is important to understand the difference between the two.
Confucius (551-479 BC) tells us, engineers working in the 21st century AD, that having a firm grasp on terminology is an essential prerequisite to success. But why are there so many popular but misleading or meaningless terms floating around in engineering presentations, technical papers, blog articles, trainings and workplace environments? Read more in this blog.
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“We have been having very good success using the P-Version finite element code, StressCheck, to develop the 2-D solutions for two independent cracks in a plate. I have asked one of our AFGROW team members to model the plate and lug cases using StressCheck and compare them to the existing AFGROW closed-form solutions. [He] modeled the cases several different ways to be sure that he was getting the best possible solutions. He has verified that the bearing load option in StressCheck provides excellent results.”