ML-SGFEM User Guide

Catherine Powell; Georgios Papanikos

ML-SGFEM User Guide

Applied Mathematics

Research output: Other contribution

Abstract

This is a User Guide for the MATLAB toolbox ML-SGFEM. The software can be used to investigate computational issues associated with multilevel stochastic Galerkin finite element approximation for elliptic PDEs with parameter-dependent coefficients. The distinctive feature of the software is the hierarchical a posteriori error estimation strategy it uses to drive the adaptive enrichment of the approximation space at each step. This document contains installation instructions, a brief mathematical description of the methodology, a sample session and a description of the directory structure.

Original language	English
Type	ML-SGFEM User Guide
Publication status	Published - 9 Jun 2022

Keywords

Software
Multilevel
Stochastic Galerkin
Adaptivity
Finite Element Methods

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http://eprints.maths.manchester.ac.uk/2859/Licence: CC BY

Cite this

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title = "ML-SGFEM User Guide",

abstract = "This is a User Guide for the MATLAB toolbox ML-SGFEM. The software can be used to investigate computational issues associated with multilevel stochastic Galerkin finite element approximation for elliptic PDEs with parameter-dependent coefficients. The distinctive feature of the software is the hierarchical a posteriori error estimation strategy it uses to drive the adaptive enrichment of the approximation space at each step. This document contains installation instructions, a brief mathematical description of the methodology, a sample session and a description of the directory structure.",

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N2 - This is a User Guide for the MATLAB toolbox ML-SGFEM. The software can be used to investigate computational issues associated with multilevel stochastic Galerkin finite element approximation for elliptic PDEs with parameter-dependent coefficients. The distinctive feature of the software is the hierarchical a posteriori error estimation strategy it uses to drive the adaptive enrichment of the approximation space at each step. This document contains installation instructions, a brief mathematical description of the methodology, a sample session and a description of the directory structure.

AB - This is a User Guide for the MATLAB toolbox ML-SGFEM. The software can be used to investigate computational issues associated with multilevel stochastic Galerkin finite element approximation for elliptic PDEs with parameter-dependent coefficients. The distinctive feature of the software is the hierarchical a posteriori error estimation strategy it uses to drive the adaptive enrichment of the approximation space at each step. This document contains installation instructions, a brief mathematical description of the methodology, a sample session and a description of the directory structure.

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KW - Multilevel

KW - Stochastic Galerkin

KW - Adaptivity

KW - Finite Element Methods

M3 - Other contribution

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ML-SGFEM User Guide

Abstract

Keywords

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Cite this