# An Introduction to MMPDElab

## TL;DR

This paper introduces MMPDElab, a MATLAB package designed for adaptive mesh movement and finite element solutions of second-order PDEs across various dimensions, utilizing simplicial meshes.

## Contribution

It presents MMPDElab, a new MATLAB tool for adaptive mesh movement and finite element solutions of PDEs using simplicial meshes in multiple dimensions.

## Key findings

- Supports adaptive mesh movement in 1D, 2D, and 3D.
- Enables finite element solutions of second-order PDEs.
- Utilizes simplicial meshes for flexibility.

## Abstract

This article presents an introduction to MMPDElab, a package written in MATLAB for adaptive mesh movement and adaptive moving mesh P1 finite element solution of second-order partial different equations having continuous solutions in one, two, and three spatial dimensions. MMPDElab uses simplicial meshes.