On adaptive timestepping for weakly instationary solutions of hyperbolic conservation laws via adjoint error control

We study a recent timestep‐adaptation technique for hyperbolic conservation laws. The key tool is a space–time splitting of adjoint error representations for target functionals due to Süli (An Introduction to Recent Developments in Theory and Numerics for Conservation Laws. Lecture Notes in Computat...

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Bibliographic Details
Published in:	International journal for numerical methods in biomedical engineering Vol. 26; no. 6; pp. 790 - 806
Main Authors:	Steiner, Christina, Noelle, Sebastian
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 01.06.2010 Wiley
Subjects:	adaptive timestepping adjoint error control Adjoints Classical transport Computation Conservation laws Errors Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Galerkin methods General theory hyperbolic conservation laws Mathematical analysis Mathematical models Physics Representations Statistical physics, thermodynamics, and nonlinear dynamical systems Transport processes weakly instationary solutions adjoint error control Transport equation Steady flow Hyperbolic equations Duality Orthogonality Conservation laws Galerkin-Petrov method Finite element method Direct problem Dies hyperbolic conservation laws weakly instationary solutions adaptive timestepping Modelling
ISSN:	2040-7939, 2040-7947, 2040-7947
Online Access:	Get full text
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