nitsche method
Recently Published Documents


TOTAL DOCUMENTS

24
(FIVE YEARS 1)

H-INDEX

10
(FIVE YEARS 0)

2021 ◽  
Vol 29 (5) ◽  
pp. 1365-1384
Author(s):  
Yulei Liao & Pingbing Ming


2019 ◽  
Vol 349 ◽  
pp. 1-16 ◽  
Author(s):  
Daniel Elfverson ◽  
Mats G. Larson ◽  
Karl Larsson


2018 ◽  
Vol 52 (6) ◽  
pp. 2149-2185 ◽  
Author(s):  
Laura Blank ◽  
Alfonso Caiazzo ◽  
Franz Chouly ◽  
Alexei Lozinski ◽  
Joaquin Mura

In this paper we study the Brinkman model as a unified framework to allow the transition between the Darcy and the Stokes problems. We propose an unconditionally stable low-order finite element approach, which is robust with respect to the whole range of physical parameters, and is based on the combination of stabilized equal-order finite elements with a non-symmetric penalty-free Nitsche method for the weak imposition of essential boundary conditions. In particular, we study the properties of the penalty-free Nitsche formulation for the Brinkman setting, extending a recently reported analysis for the case of incompressible elasticity (Boiveau and Burman, IMA J. Numer. Anal. 36 (2016) 770-795). Focusing on the two-dimensional case, we obtain optimal a priori error estimates in a mesh-dependent norm, which, converging to natural norms in the cases of Stokes or Darcy ows, allows to extend the results also to these limits. Moreover, we show that, in order to obtain robust estimates also in the Darcy limit, the formulation shall be equipped with a Grad-Div stabilization and an additional stabilization to control the discontinuities of the normal velocity along the boundary. The conclusions of the analysis are supported by numerical simulations.



2017 ◽  
Vol 326 ◽  
pp. 505-525 ◽  
Author(s):  
Peter Hansbo ◽  
Tobias Jonsson ◽  
Mats G. Larson ◽  
Karl Larsson


2017 ◽  
Vol 113 (4) ◽  
pp. 601-633 ◽  
Author(s):  
Lam H. Nguyen ◽  
Stein K.F. Stoter ◽  
Martin Ruess ◽  
Manuel A. Sanchez Uribe ◽  
Dominik Schillinger


2017 ◽  
Vol 38 (2) ◽  
pp. 646-668 ◽  
Author(s):  
Erik Burman ◽  
Johnny Guzmán ◽  
Manuel A Sánchez ◽  
Marcus Sarkis


Sign in / Sign up

Export Citation Format

Share Document