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Artificial Intelligence

Home Tag Artificial Intelligence
XAI Will Force Clear Thinking About the Nature of Mathematical Models

XAI Will Force Clear Thinking About the Nature of Mathematical Models

Nov 15, 2023

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 Story of the P-version in a Nutshell

The Story of the P-version in a Nutshell

Nov 30, 2023

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?

Why Finite Element Modeling is Not Numerical Simulation?

Why Finite Element Modeling is Not Numerical Simulation?

Nov 2, 2023

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.

A Memo from the 5th Century BC

A Memo from the 5th Century BC

Oct 17, 2023

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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Recent News & Events

  • Trustworthiness in Simulation: Credibility or Decision-grade Reliability?
  • Beyond the Black Box: Explainable AI Requires Explainable Simulation
  • Turtle Shells and Legacy Finite Element Codes: Evolutionary Constraints in the Age of Explainable AI

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  • “In the case of the through crack configuration, the comparison of experimental and StressCheck derived geometry factors showed a close correlation and were an improvement to solutions provided in AFGROW at the time. Based on the results of this research, StressCheck pin-loaded lug geometry factors have since been incorporated into the AFGROW software.”

    Dr. Alten Grandt
    Purdue University

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Dr. William Oberkampf, Author of Verification and Validation in Scientific Computing

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