# MATLAB Implementation of C1 finite elements: Bogner-Fox-Schmit rectangle

## TL;DR

This paper presents a MATLAB implementation of Bogner-Fox-Schmit C1 finite elements in 2D, emphasizing detailed construction, vectorized assembly, and visual demonstrations of energy evaluations.

## Contribution

It extends MATLAB codes to implement Bogner-Fox-Schmit elements using vectorization, providing detailed construction and visualization tools.

## Key findings

- Efficient MATLAB implementation of C1 finite elements
- Demonstrations of energy evaluations and visualizations
- Extension of vectorization techniques to finite element assembly

## Abstract

Rahman and Valdman (2013) introduced a new vectorized way to assemble finite element matrices. We utilize underlying vectorization concepts and extend MATLAB codes to implementation of Bogner-Fox-Schmit C1 rectangular elements in 2D. Our focus is on the detailed construction of elements and simple computer demonstrations including energies evaluations and their visualizations.