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- M. Fares, Jan S. Hesthaven, Yvon Maday, Benjamin Stamm
- J. Comput. Physics
- 2011

We introduce the Reduced Basis Method (RBM) as an efficient tool for parametrized scattering problems in computational electromagnetics for problems where field solutions are computed using aâ€¦ (More)

- Erik Burman, Benjamin Stamm
- SIAM J. Numerical Analysis
- 2008

We consider DG-methods for 2nd order scalar elliptic problems using piecewise affine approximation in two or three space dimensions. We prove that both the symmetric and the nonsymmetric version ofâ€¦ (More)

- Erik Burman, Benjamin Stamm
- J. Sci. Comput.
- 2007

We consider a discontinuous Galerkin finite element method for the advectionâ€“reaction equation in two spaceâ€“dimensions. For polynomial approximation spaces of degree greater than or equal to two onâ€¦ (More)

- Benjamin Stamm, Thomas P. Wihler
- Math. Comput.
- 2010

The aim of this paper is to present and analyze a class of hpversion discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic problems. This class includes aâ€¦ (More)

- Lin Lin, Benjamin Stamm
- 2016

Abstract. We present the first systematic work for deriving a posteriori error estimates for general non-polynomial basis functions in an interior penalty discontinuous Galerkin (DG) formulation forâ€¦ (More)

- Jan S. Hesthaven, Benjamin Stamm, S. Zhang
- SIAM J. Scientific Computing
- 2012

In [5], a reduced basis method (RBM) for the electric field integral equation (EFIE) based on the boundary element method (BEM) is developed, based on a simplified a posteriori error estimator forâ€¦ (More)

- Yvon Maday, Benjamin Stamm
- SIAM J. Scientific Computing
- 2013

Reduced order models, in particular the reduced basis method, rely on empirically built and problem dependent basis functions that are constructed during an off-line stage. In the on-line stage, theâ€¦ (More)

- M. Ganesh, Jan S. Hesthaven, Benjamin Stamm
- J. Comput. Physics
- 2012

- Eric CancÃ¨s, GeneviÃ¨ve Dusson, Yvon Maday, Benjamin Stamm, Martin VohralÃk
- SIAM J. Numerical Analysis
- 2017

This paper derives a posteriori error estimates for conforming numerical approximations of the Laplace eigenvalue problem with a homogeneous Dirichlet boundary condition. In particular, upper andâ€¦ (More)

- Benjamin Stamm
- 2009

We propose a low order discontinuous Galerkin method for incompressible flows. Stability of the discretization of the Laplace operator is obtained by enriching the space element wise with aâ€¦ (More)