The Virtual Element Method (VEM) for diffusion-convection-reaction problems is considered. In order to design a quasi-robust scheme also in the convection-dominated regime, a Continuous Interior Penalty approach is employed. Due to the presence of polynomial projection operators, typical of the VEM, the stability and the error analysis requires particular care-especially in treating the advective term. Some numerical tests are presented to support the theoretical results.
CIP-stabilized virtual elements for diffusion-convection-reaction problems / L. Da Veiga, C. Lovadina, M. Trezzi. - In: IMA JOURNAL OF NUMERICAL ANALYSIS. - ISSN 0272-4979. - (2024), pp. 1-37. [Epub ahead of print] [10.1093/imanum/drae020]
CIP-stabilized virtual elements for diffusion-convection-reaction problems
C. LovadinaPenultimo
;
2024
Abstract
The Virtual Element Method (VEM) for diffusion-convection-reaction problems is considered. In order to design a quasi-robust scheme also in the convection-dominated regime, a Continuous Interior Penalty approach is employed. Due to the presence of polynomial projection operators, typical of the VEM, the stability and the error analysis requires particular care-especially in treating the advective term. Some numerical tests are presented to support the theoretical results.
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