Mortar and discontinuous galerkin methods based on weighted interior penalties

Lecture Notes in Computational Science and Engineering

Volumn 60, Issue , 2008, Pages 321-327

  Zunino, Paolo ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 59349116097     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-75199-1_38     Document Type: Conference Paper

References (8)

1. D.N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal., 39(5):1749-1779, 2001/02.
2. E. Burman and P. Zunino. A domain decomposition method based on weighted interior penalties for advection-diffusion-reaction problems. SIAM J. Numer. Anal., 44(4):1612-1638, 2006.
3. A. Ern, A. Stephansen, and P. Zunino. A Discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally vanishing and anisotropic diffusivity. Technical Report 103, MOX, Department of Mathematics, Politecnico di Milano, 2007. Submitted.
4. F. Gastaldi and A. Quarteroni. On the coupling of hyperbolic and parabolic systems: analytical and numerical approach. Appl. Numer. Math., 6(1-2):3-31, 1989/90. Spectral multi-domain methods (Paris, 1988).
5. B. Heinrich and K. Pönitz. Nitsche type mortaring for singularly perturbed reaction-diffusion problems. Computing, 75(4):257-279, 2005.
6. P. Houston, Ch. Schwab, and E. Süli. Discontinuous hp-finite element methods for advection-diffusion-reaction problems. SIAM J. Numer. Anal., 39(6):2133-2163, 2002.
7. J. Nitsche. On Dirichlet problems using subspaces with nearly zero boundary conditions. In The mathematical foundations of the finite element method with applications to partial differential equations (Proc. Sympos., Univ. Maryland, Baltimore, Md., 1972), pages 603-627. Academic Press, New York, 1972.
8. R. Stenberg. Mortaring by a method of J. A. Nitsche. In Computational mechanics (Buenos Aires, 1998). Centro Internac. Métodos Numér. Ing., Barcelona, 1998.