T-IFISS: a toolbox for adaptive FEM computation

Alex Bespalov, Leonardo Rocchi, David Silvester

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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.
Original languageEnglish
Pages (from-to)373-390
Number of pages18
JournalComputers and Mathematics with Applications
Publication statusPublished - 27 Mar 2020


  • finite elements
  • stochastic Galerkin methods
  • a posteriori error estimation
  • adaptive methods
  • goal-oriented adaptivity
  • PDEs with random data
  • parametric PDEs
  • mathematical software


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