Metrics for performance quantification of adaptive mesh refinement
type: Item
instance of: scholarly article
title: Metrics for performance quantification of adaptive mesh refinement
zbMATH Open document ID: 1471.65133
author: Nicole Beisiegel
author: Cristóbal E. Castro
author: Jörn Behrens
published in: Journal of Scientific Computing
publication date: 2021-05-03T00:00:00Z
review text: For the adaptive mesh refinement (AMR) strategy, the authors adopt a set of metrics to verify its performance in terms of accuracy and computation cost. This numerical study is based on the discontinuous Galerkin methods for the 2D shallow water equations on the specific adaptive triangular meshes. The refinement indicator is based on the gradient of water height. In this setup, the AMR strategy shows that the additional computational cost of mesh operations is acceptable and also problem-dependent. Detailed conclusions and discussions about the AMR efficiency based on these metrics can be found in the paper clearly.
reviewed by: Yinhua Xia
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 86A10
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7342448
zbMATH Keywords: adaptive mesh refinement
zbMATH Keywords: shallow water equation
zbMATH Keywords: computational efficiency
zbMATH Keywords: metrics
zbMATH Keywords: discontinuous Galerkin methods
describes a project that uses: HE-E1GODF
describes a project that uses: AMATOS
MaRDI profile type: Publication
full work available at URL: s10915-021-01423-0
OpenAlex ID: W3138744276
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DOI: 10.1007/S10915-021-01423-0
description: scientific article; zbMATH DE number 7342448