Error estimates for numerical approximations to scalar conservation laws

In this thesis we are concerned with a-priori and a-posteriori error estimates <br>for certain finite volume approximations of scalar hyperbolic conservation laws. <br>We introduce a new technique to prove a-priori error estimates which is based <br>on a duality argument and involves a consistency error of cell averages. <br>Next, we generalize finite volume schemes on staggered grids to several <br>space dimensions and to a large class of unstructured grids. We give a <br>complete a priori and a posteriori error analysis. Furthermore, we study <br>higher order schemes and implicit schemes.

Author dc:creator

• Küther, Marc

Contributors dc:contributor

• Kröner, Dietmar

• a-posteriori Fehlerabschätzung
• a-priori Fehlerabschätzung
• hyperbolische Differentialgleichung
• error estimates
• staggered grids
• hyperbolic partial differential equation

Repository record source_url

https://freidok.uni-freiburg.de/data/337

OAI identifier oai:identifier

oai:freidok.uni-freiburg.de:337