Papanikos, Georgios and Powell, Catherine E. (2022) ML-SGFEM User Guide. [MIMS Preprint]
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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.
| Item Type: | MIMS Preprint |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis |
| Depositing User: | Dr C.E. Powell |
| Date Deposited: | 09 Jun 2022 11:15 |
| Last Modified: | 09 Jun 2022 11:15 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2859 |
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