MoFEM JosePH. MoFEM (Mesh Orientated Finite Element Method) is an open source finite element analysis code developed and maintained at the University of Glasgow. MoFEM is tailored for the solution of multi-physics problems with arbitrary levels of approximation, different levels of mesh refinement and optimised for high-performance computing. MoFEM is the blend of the Boost (C++ libraries) MultiIndex containers, MOAB (Mesh Oriented Database) and PETSc (Portable, Extensible Toolkit for Scientific Computation). MoFEM is developed in C++ and it is open-source software under the GNU Lesser General Public License (GPL).

Motivation 

Building a scientific simulation environment for finite element methods is a complicated task. The longest part of finite element code development is in dealing with technical problems related to software implementation, rather than resolving the underlying physics that the code is intended to tackle.

The demand for accurate solutions of increasingly complicated real-world problems means that the underlying data structures also become increasingly complicated. This is particularly evident with multi-physics, hp-adaptivity, and/or evolving geometries (e.g. crack propagation). Established commercial software is often limited in this respect, or can be relatively slow to adopt new innovations. Working around these problems has been the main motivation for the development of MoFEM, recognising that it is increasingly necessary for engineers, scientists and mathematicians to carry out calculations using several mesh refinements, different approximation orders, multiple degrees of freedom and/or different scales.

History 

MoFEM evolved from YAFEMS (2008), a general and open source finite element code developed at the University of Glasgow.

In 2013 YAFEMS was re-written from scratch and named MoFEM. MoFEM was initiated by two projects. EPSRC founded a project for Providing Confidence in Durable Composites (DURACOMP)  in a consortium of three institutions: University of Warwick, University of Glasgow, Newcastle University and several industrial partners. The second project was funded by IAA-EPSRC: Simulation of fracture in nuclear graphite: from academic setting to commercial application  and EDF Energy.

Main features 
 Solves various linear and nonlinear problems from structural, thermal and fluid mechanics
 Efficient parallel processing support based on domain decomposition and message passing paradigms.
 Direct as well as iterative solvers are available. Interfaces to PETSc third party linear, nonlinear at time dependent solvers.
 Adaptive mesh refinement base on edge based refinement algorithm
 Supports hierarchical approximation basis for L2, H1, H-div and H-curl spaces 
 Calculate stress intensity factors and crack propagation based on configurational mechanics
 Arbitrary Lagrangian Formulation with Mesh Smoothing Algorithms based on Volume-Length quality tetrahedral element measure with barrier

License 
MoFEM is free, open source software, released under the GNU Lesser General Public License as published by the Free Software Foundation.

References

External links
 MoFEM Bitbucket Repository
 MOAB

Engineering and Physical Sciences Research Council
Finite element software
Scientific simulation software
Free computer-aided design software
Free software programmed in C++
Computational physics
Free science software
Finite element software for Linux
University of Glasgow