Numerical boundary layers for hyperbolic systems in 1-D

Claire Chainais-Hillairet; Emmanuel Grenier

The search session has expired. Please query the service again.

Displaying similar documents to “Numerical boundary layers for hyperbolic systems in 1-D”

-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes

Serge Piperno (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

We investigate sufficient and possibly necessary conditions for the stability of the upwind first order finite volume scheme for Maxwell equations, with metallic and absorbing boundary conditions. We yield a very general sufficient condition, valid for any finite volume partition in two and three space dimensions. We show this condition is necessary for a class of regular meshes in two space dimensions. However, numerical tests show it is not necessary in three space...

A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation.

Glushkova, D.I., Romanov, V.G. (2003)

Sibirskij Matematicheskij Zhurnal

Similarity:

Long-time stability of noncharacteristic viscous boundary layers

Toan Nguyen, Kevin Zumbrun (2009-2010)

Séminaire Équations aux dérivées partielles

Similarity:

We report our results on long-time stability of multi–dimensional noncharacteristic boundary layers of a class of hyperbolic–parabolic systems including the compressible Navier–Stokes equations with inflow [outflow] boundary conditions, under the assumption of strong spectral, or uniform Evans, stability. Evans stability has been verified for small-amplitude layers by Guès, Métivier, Williams, and Zumbrun. For large–amplitudes, it may be checked numerically, as done in one–dimensional...

Linearized stability for hyperbolic evolution equations with semilinear boundary conditions.

Günther Greiner (1989)

Semigroup forum

Similarity:

$L^{2}$ -stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes

Serge Piperno (2000)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

Global in Time Stability of Steady Shocks in Nozzles

Jeffrey Rauch, Chunjing Xie, Zhouping Xin (2011-2012)

Séminaire Laurent Schwartz — EDP et applications

Similarity:

We prove global dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. One of the key improvements compared with previous results is that we assume neither the smallness of the slope of the nozzle nor the weakness of the shock strength. A key ingredient of the proof are the derivation a exponentially decaying energy estimates for a linearized problem.

Displaying similar documents to “Numerical boundary layers for hyperbolic systems in 1-D”

-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes

A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation.

Long-time stability of noncharacteristic viscous boundary layers

Linearized stability for hyperbolic evolution equations with semilinear boundary conditions.

L 2 -stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes

Global in Time Stability of Steady Shocks in Nozzles

$L^{2}$ -stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes