A review of a posteriori error control and adaptivity for approximations of nonlinear conservation laws.

Ohlberger M

Forschungsartikel (Zeitschrift)

Zusammenfassung

In this contribution we give an overview on recent progress in obtaining a posteriori error control forfinite volume and discontinuous Galerkin approximations of non-linear hyperbolic conservation laws.The theory is based on the celebrated doubling of variables technique introduced by Kruˇzkov [35].A posteriori error control is of particular importance as it can be used for designing efficient gridadaptive schemes. The derivation of such adaptive methods is discussed and numerical experimentsare given.

Details zur Publikation

Veröffentlichungsjahr: 2009
Sprache, in der die Publikation verfasst ist: Englisch