Goal-oriented error estimation and mesh adaptation for shallow water modelling

Abstract This study presents a novel goal-oriented error estimate for the nonlinear shallow water equations solved using a mixed discontinuous/continuous Galerkin approach. This error estimator takes account of the discontinuities in the discrete solution and is used to drive two metric-based mesh a...

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Bibliographic Details
Main Authors: Joseph G. Wallwork, Nicolas Barral, Stephan C. Kramer, David A. Ham, Matthew D. Piggott
Format: Article
Language:English
Published: Springer 2020-05-01
Series:SN Applied Sciences
Subjects:
Online Access:https://doi.org/10.1007/s42452-020-2745-9