SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis
Keyword(s):
The objective of this contribution is to develop a convergence analysis for SUPG-stabilized Virtual Element Methods in diffusion-convection problems that is robust also in the convection dominated regime. For the original method introduced in [Benedetto et al, CMAME 2016] we are able to show an “almost uniform” error bound (in the sense that the unique term that depends in an unfavourable way on the parameters is damped by a higher order mesh-size multiplicative factor). We also introduce a novel discretization of the convection term that allows us to develop error estimates that are fully robust in the convection dominated cases. We finally present some numerical result.
2017 ◽
Vol 17
(4)
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pp. 553-574
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Keyword(s):
2020 ◽
Vol 10
(1)
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pp. 158-180
2018 ◽
Vol 340
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pp. 978-999
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2021 ◽
Vol 386
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pp. 113229
2017 ◽
Vol 334
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pp. 327-348
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