Welcome to stat-fem’s documentation!

stat-fem is a Python library for solving data-constrained finite element analysis problems. It builds on the Firedrake Library to handle FEM description and assembly, and the PETSc library for handling sparse linear algebra and solving across multiple computer cores. stat-fem is released under the LGPL open-source license and is free software. You are free to use, modify, and distribute this software.

This software was written by members of the Alan Turing Institute Research Engineering Group as part of a project in the Lloyds Register Foundation Data-Centric Engineering Programme.

The following pages include a brief overview of the software, instructions for installation, and a walkthrough example illustrating how it can be used to solve an example problem. The documentation also outlines how computations can be parallelized to take advantage of multi-node and multi-core systems.

Overview

• Overview
• Installation
• Poisson’s Equation Tutorial
• Parallelism in stat-fem

Details about the stat-fem implementation can be found on the following pages:

Classes:

• The ForcingCovariance Class
• The ObsData Class
• The LinearSolver Class
• The InterpolationMatrix Class

Additional Functions

• The assemble Module
• The estimation Module
• The solving Module

Utilities

• The covariance_functions Module
• The solving_utils Module

Indices and tables

• Index
• Module Index
• Search Page