CVEM-BEM Coupling with Decoupled Orders for 2D Exterior Poisson Problems

For the solution of 2D exterior Dirichlet Poisson problems, we propose the coupling of a Curved Virtual Element Method (CVEM) with a Boundary Element Method (BEM), by using decoupled approximation orders. We provide optimal convergence error estimates, in the energy and in the weaker L 2 -norm, in w...

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Bibliographic Details
Published in:Journal of scientific computing 2022-09, Vol.92 (3), p.96, Article 96
Main Authors: Desiderio, Luca, Falletta, Silvia, Ferrari, Matteo, Scuderi, Letizia
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Approximation
Boundary element method
Computational Mathematics and Numerical Analysis
Coupling
Dirichlet problem
Estimates
Mathematical analysis
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Methods
Theoretical
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Summary:For the solution of 2D exterior Dirichlet Poisson problems, we propose the coupling of a Curved Virtual Element Method (CVEM) with a Boundary Element Method (BEM), by using decoupled approximation orders. We provide optimal convergence error estimates, in the energy and in the weaker L 2 -norm, in which the CVEM and BEM contributions to the error are separated. This allows for taking advantage of the high order flexibility of the CVEM to retrieve an accurate discrete solution by using a low order BEM. The numerical results confirm the a priori estimates and show the effectiveness of the proposed approach.
ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-022-01951-3