# T-IFISS: a toolbox for adaptive FEM computation

## TL;DR

T-IFISS is an open-source MATLAB toolbox designed for adaptive finite element methods, focusing on error-controlled algorithms for elliptic PDEs, facilitating research, experimentation, and education.

## Contribution

The paper introduces T-IFISS, a comprehensive software package that supports adaptive FEM algorithms with rigorous error estimation, enhancing research and learning in finite element methods.

## Key findings

- Supports a variety of a posteriori error estimators
- Enables rapid development of new discretizations
- Serves as an educational tool for finite element methodology

## Abstract

T-IFISS is a finite element software package for studying finite element solution algorithms for deterministic and parametric elliptic partial differential equations. The emphasis is on self-adaptive algorithms with rigorous error control using a variety of a posteriori error estimation techniques. The open-source MATLAB framework provides a computational laboratory for experimentation and exploration, enabling users to quickly develop new discretizations and test alternative algorithms. The package is also valuable as a teaching tool for students who want to learn about state-of-the-art finite element methodology.