Validation and Verification

Publications

Application of An a priori Jacobian-based Error Estimation Metric

Robert Rainsberger, Jeffrey T. Fong, and P. Marcal

This paper introduces a new metric called the "Standard Error" for assessing the mesh quality of 3D Finite Element Method (FEM) simulations. This metric, based on the Jacobian matrix, allows for the comparison of mesh quality across different element types and models. The study demonstrates its application to various 3D finite elements and includes examples with and without analytical solutions.

Least Squares Finite Element Interpolations for Analysis of Model Free Problem-Solving

This paper introduces a new application of the Finite Element Method (FEM) for solving model-free problems, such as handwritten number recognition. The FEM-based approach is shown to be a resource-efficient and local alternative to global deep learning methods.

An Intelligent Flaw Monitoring System

This paper introduces an intelligent flaw monitoring system designed to assess damage in aging structures. The system uses a two-phase approach that combines non-destructive evaluation (NDE) with a web-based algorithm to predict remaining fatigue life with confidence bounds.

A Super-Parametric Approach to Estimating Accuracy and Uncertainty of the Finite Element Method

This paper presents a super-parametric approach to address the five major sources of solution uncertainty in the Finite Element Method. It uses a numerical example of a cylindrical pipe with a surface crack to illustrate how to quantify uncertainty and verify solutions.

A HIGH-ACCURACY APPROACH TO FINITE ELEM ENT ANALYSIS USING THE HEXA 27 NODE ELEMENT

This paper compares the accuracy of various hexahedron elements, focusing on the fully quadratic hexa-27 element. It presents the results of a shell-element-based analysis of a barrel vault, proposing guidelines for element selection.