Publications

2007

• E. Burman, B. Stamm, Minimal stabilization of discontinuous Galerkin finite element methods for hyperbolic problems, J. Sci. Comput., Vol. 33, No. 2, pp. 183-208 (2007)
• E. Burman, A. Ern, I. Mozolevski, B. Stamm, The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders $p \ge 2$, C. R. Acad. Sci. Paris, Ser. I, Vol. 345, No. 10, pp. 599-602 (2007)

2008

• E. Burman, B. Stamm, Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment, C. R. Acad. Sci. Paris, Ser. I, Vol. 346, No. 1-2, pp. 103-106 (2008)
• E. Burman, A. Quarteroni, B. Stamm, Stabilization strategies for high order methods for transport dominated problems, Bollettino U.M.I., Series IX, Vol. 1, No. 1, pp. 57-77 (2008)
• E. Burman, B. Stamm, Low order discontinuous Galerkin methods for second order elliptic problems, SIAM J. Numer. Anal., Vol. 47, No. 1, pp. 508-533 (2008)

2009

• E. Burman, B. Stamm, Local discontinuous Galerkin method for diffusion equations with reduced stabilization, Commun. Comput. Phys., Vol. 5, pp. 498-514 (2009)
• E. Burman, A. Quarteroni, B. Stamm, Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations, Mox report 19.2007, accepted in J. Sci. Comput.
• B. Stamm, T. P. Wihler, hp-optimal discontinuous Galerkin methods for linear elliptic problems, EPFL-IACS report 07.2007, accepted in Math. Comp.
• E. Burman, B. Stamm, Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems, EPFL-IACS report 06.2008, accepted in Num. Math.

2010

• E. Burman, B. Stamm, Bubble stabilized discontinuous Galerkin method for the Stokes problem, Math. Models Appl. Sci., Vol. 20, No. 2, pp. 297-313 (2010)
• E. Burman, B. Stamm, Bubble Stabilized Discontinuous Galerkin Methods on conforming and non-conforming meshes, submitted to Calcolo.
• J. Hesthaven, Y. Maday, B. Stamm, Reduced Basis Method for the parametrized Electric Field Integral Equation, submitted to J. Comput. Phy..

In preparation

• R. Nochetto, B. Stamm, Residual a posteriori estimates for the Electric Field Integral Equation, In preparation.
• J.L. Eftang, B. Stamm, M.A. Grepl, A.T. Patera, Parameter element hp empirical interpolation, In preparation.

Technical reports

• B. Stamm, A posteriori estimates for the Bubble Stabilized Discontinuous Galerkin Method, Technical report BrownSC-2009-17

Theses

• PhD thesis: Stabilization Strategies for Discontinuous Galerkin Methods, EPFL No. 4235 (2008)
• Master thesis: Spectral Discontinuous Galerkin Method for Hyperbolic Problems, EPFL (2005)