Virtual Element Method for Second Order Elliptic Eigenvalue Problems
arXiv:1610.0367581 citationsh-index: 22
AI Analysis
Provides a theoretical foundation for using VEM in eigenvalue problems, which is incremental as it extends existing VEM theory to a new problem class.
The paper introduces the Virtual Element Method for second order elliptic eigenvalue problems and proves it provides optimal order approximation of eigenmodes, confirmed by numerical tests.
We introduce the Virtual Element Method (VEM) for elliptic eigenvalue problems. The main result of the paper states that VEM provides an optimal order approximation of the eigenmodes. A wide set of numerical tests confirm the theoretical analysis.