Imposing Dirichlet boundary conditions in hierarchical Cartesian meshes by means of stabilized Lagrange multipliers
作者： M. Tur , J. Albelda , E. Nadal , J. J. Ródenas
DOI: 10.1002/NME.4629
关键词:
摘要: This is the pre-peer reviewed version of following article: Tur, M., Albelda, J., Nadal, E. and Rodenas, J. (2014), Imposing Dirichlet boundary conditions in hierarchical Cartesian meshes by means stabilized Lagrange multipliers. Int. Numer. Meth. Engng, 98: 399–417, which has been published final form at http://dx.doi.org/10.1002/nme.4629 . article may be used for non-commercial purposes accordance with Wiley Terms Conditions Self-Archiving.
harvard.edu
sci-hub.se 参考文章(34)
Jean Roberts, Jean-Marie Thomas, Mixed and hybrid finite element methods Springer-Verlag. ,(1991) , 10.1007/978-1-4612-3172-1
Erik Burman, Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries Numerical Methods for Partial Differential Equations. ,vol. 30, pp. 567- 592 ,(2014) , 10.1002/NUM.21829
Martin Hautefeuille, Chandrasekhar Annavarapu, John E. Dolbow, Robust imposition of Dirichlet boundary conditions on embedded surfaces International Journal for Numerical Methods in Engineering. ,vol. 90, pp. 40- 64 ,(2012) , 10.1002/NME.3306
T. Strouboulis, K. Copps, I. Babuška, The generalized finite element method Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 4081- 4193 ,(2001) , 10.1016/S0045-7825(01)00188-8
T. Ye, R. Mittal, H.S. Udaykumar, W. Shyy, An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries Journal of Computational Physics. ,vol. 156, pp. 209- 240 ,(1999) , 10.1006/JCPH.1999.6356
Jessica D. Sanders, John E. Dolbow, Tod A. Laursen, On methods for stabilizing constraints over enriched interfaces in elasticity International Journal for Numerical Methods in Engineering. ,vol. 78, pp. 1009- 1036 ,(2009) , 10.1002/NME.2514
J. J. Ródenas, M. Tur, F. J. Fuenmayor, A. Vercher, Improvement of the superconvergent patch recovery technique by the use of constraint equations: the SPR‐C technique International Journal for Numerical Methods in Engineering. ,vol. 70, pp. 705- 727 ,(2007) , 10.1002/NME.1903
Lucy Zhang, Axel Gerstenberger, Xiaodong Wang, Wing Kam Liu, Immersed finite element method Computer Methods in Applied Mechanics and Engineering. ,vol. 193, pp. 2051- 2067 ,(2004) , 10.1016/J.CMA.2003.12.044
Helio JC Barbosa, Thomas JR Hughes, None, Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms Numerische Mathematik. ,vol. 62, pp. 1- 15 ,(1992) , 10.1007/BF01396217
Erik Burman, Peter Hansbo, Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method Applied Numerical Mathematics. ,vol. 62, pp. 328- 341 ,(2012) , 10.1016/J.APNUM.2011.01.008