Some stabilized finite element methods for the Stokes problem are reviewed. The Douglas-
Wang approach confirms better stability features for high order interpolations. Next, the …

Abstract Space-time finite element methods are presented to accurately solve
elastodynamics problems that include sharp gradients due to propagating waves. The new …

In this paper a streamline diffusion finite element method is introduced for the time-
dependent incompressible Navier-Stokes equations in a bounded domain in R 2 and R 3 in …

Time finite element methods are developed for the equations of structural dynamics. The
approach employs the time‐discontinuous Galerkin method and incorporates stabilizing …

Adaptive finite element methods for stationary convection-diffusion problems are designed
and analyzed. The underlying discretization scheme is the Shock-capturing Streamline …

We prove convergence of the discontinuous Galerkin finite element method with
polynomials of arbitrary degree q≥ 0 on general unstructured meshes for scalar …

We give a survey of recent results obtained together with K. Eriksson on adaptive h-methods
for the basic linear partial differential equations of elliptic, parabolic and hyperbolic type. Our …

In the present contribution, we describe residual distribution () methods, seen from a
rather fundamental point of view. We try to focus on the basic features that distinguish these …

This work considers the discontinuous Galerkin (DG) finite element discretization of first-
order systems of conservation laws derivable as moments of the kinetic Boltzmann equation …

Convergence of a streamline diffusion finite element method for scalar conservation laws
with boundary conditions Page 1 RAIRO MODÉLISATION MATHÉMATIQUE ET ANALYSE …