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Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems
- Source :
- Applied Mathematics Letters,Volume 129,2022,107971,ISSN 0893-9659
- Publication Year :
- 2022
-
Abstract
- In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (E$^2$VEM) with the focus on some elliptic test problems whose solution and diffusivity tensor are characterized by anisotropies. Results show that the possibility to avoid an arbitrary stabilizing part, offered by E$^2$VEM methods, can reduce the magnitude of the error on general polygonal meshes and help convergence.
- Subjects :
- Mathematics - Numerical Analysis
65N12, 65N30
Subjects
Details
- Database :
- arXiv
- Journal :
- Applied Mathematics Letters,Volume 129,2022,107971,ISSN 0893-9659
- Publication Type :
- Report
- Accession number :
- edsarx.2202.08571
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.aml.2022.107971