A New Edge Stabilization Method for the Convection-Dominated Diffusion-Convection Equations

2018 ◽  
pp. 48-60
Author(s):  
Huoyuan Duan ◽  
Yu Wei
Keyword(s):  
Stabilization Method ◽  
Diffusion Convection ◽  
Convection Dominated

scholarly journals SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis

2021 ◽  
Author(s):  
Lourenco Beirao da Veiga ◽  
Franco Dassi ◽  
Carlo Lovadina ◽  
Giuseppe Vacca
Keyword(s):  
Robustness Analysis ◽  
Mesh Size ◽  
Original Method ◽  
Convection Term ◽  
Multiplicative Factor ◽  
Numerical Result ◽  
Virtual Element Methods ◽  
Virtual Element ◽  
Diffusion Convection ◽  
Convection Dominated

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.

Experimental Verification of Stabilization Method for Residential DC System Based on Passivity Criterion

2017 ◽  
Vol 137 (8) ◽  
pp. 631-638 ◽  
Author(s):  
Hiroki Yamano ◽  
Koji Takechi ◽  
Hiroaki Kakigano ◽  
Makoto Ohashi
Keyword(s):  
Experimental Verification ◽  
Stabilization Method ◽  
Dc System

scholarly journals The Genuine Resonance of Full-Charm Tetraquarks

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 155
Author(s):  
Xiaoyun Chen
Keyword(s):  
Quark Model ◽  
Bound States ◽  
Expansion Method ◽  
Chiral Quark Model ◽  
Stabilization Method ◽  
Scaling Method ◽  
Resonance States ◽  
Gaussian Expansion Method ◽  
Color Structure ◽  
Quantum Numbers

In this work, the genuine resonance states of full-charm tetraquark systems with quantum numbers JPC=0++,1+−,2++ are searched in a nonrelativistic chiral quark model with the help of the Gaussian Expansion Method. In this calculation, two structures, meson-meson and diquark–antidiquark, as well as their mixing with all possible color-spin configurations, are considered. The results show that no bound states can be formed. However, resonances are possible because of the color structure. The genuine resonances are identified by the stabilization method (real scaling method). Several resonances for the full-charm system are proposed, and some of them are reasonable candidates for the full-charm states recently reported by LHCb.

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