Erik Burman

Cette personne a quitté l’EPFL

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Publications associées (25)

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Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations

Erik Burman

A continuous interior penalty hp-finite element method that penalizes the jump of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for first-order and advection-dominated transport operators. The analysis relies on t ...

2007

Local discontinuous Galerkin method for diffusion equations with reduced stabilization

Erik Burman, Benjamin Stamm

We extend the results on minimal stabilization of Burman and Stamm[J. Sci. Comp., 33 (2007), pp. 183-208] to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the poly ...

2009

Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems

Erik Burman, Bernhard Stamm

Springer, Springer US; http://www.springer-ny.com2007

Continuous interior penalty finite element method for the time-dependent Navier–Stokes equations: space discretization and convergence

Erik Burman

Springer2007

Stabilized explicit coupling for fluid-structure interaction using Nitsche's method

Erik Burman

In this Note we propose a stabilized explicit coupling scheme for fluid-structure interaction based on Nitsche's method. The scheme is stable irrespective of the fluid-solid density ratio. Numerical experiments show that optimal time accuracy can be obtain ...

Elsevier2007