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October 16, 2025Open Access

Finite Element Theory for PHIMATS

Key Points

The document outlines the key mathematical foundations of finite element method (FEM) theories.
Numerical strategies for the implementation of FEM in the PHIMATS code are discussed specifically.
Hands-on examples related to FEM applications are provided in the CaseStudies directory of the repository.
For in-depth theoretical insights, the reader is directed to consult specific references listed in the document.

Abstract

This document summarizes the main ideas of the finite element method (FEM) theory and constitutive relations as implemented in the PHIMATS code (https: //github. com/ahcomat/PHIMATS. gitGitHub Repository). Rather than detailing the derivations or specific models, this document focuses on the key mathematical foundations and numerical strategies used within the implementation. For in-depth theoretical discussions, the reader is encouraged to consult the references. For citing this document, please use. . . Hands-on examples can be found in CaseStudies directory on the GitHub repository. .

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Abdelrahman Hussein (Sat,) studied this question.

synapsesocial.com/papers/68f0d5eb105731330a2b1e78 — DOI: https://doi.org/10.48550/arxiv.2502.16283

Authors

Abdelrahman Hussein

University of Oulu

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Finite Element Theory for PHIMATS

Key Points

Abstract

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Authors

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