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Mathematik-Bericht 2010/6 L(L)-boundedness of DG(p)-
 

Summary: Mathematik-Bericht 2010/6
L(L)-boundedness of DG(p)-
solutions for nonlinear conservation
laws with boundary conditions
L. Angermann, C. Henke
November 2010
Institut f¨ur Mathematik, TU Clausthal, Erzstraße 1, D-38678 Clausthal-Zellerfeld, Germany
L(L)-BOUNDEDNESS OF DG(p)-SOLUTIONS FOR NONLINEAR
CONSERVATION LAWS WITH BOUNDARY CONDITIONS
LUTZ ANGERMANN AND CHRISTIAN HENKE
ABSTRACT. We prove the L
(L
)-boundedness of a higher-order shock-cap-
turing streamline-diffusion DG-method based on polynomials of degree p 0
for general scalar conservation laws. The estimate is given for the case of several
space dimensions and for conservation laws with initial and boundary conditions.
1. INTRODUCTION
In this paper we extend the analysis of a shock-capturing streamline-diffusion
DG-method for hyperbolic conservation laws in several space dimensions which
goes back to [JJS95]. The original DG-method from [JJS95] is based on polyno-

  

Source: Angermann, Lutz - Institut für Mathematik, Technische Universität Clausthal

 

Collections: Mathematics