Evidence map›Paper›PMID 31798297›Full record

ArticleSIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics2019

An Adaptive Moving Mesh Method for Forced Curve Shortening Flow.

J A Mackenzie, M Nolan, C F Rowlatt, R H Insall

Abstract read
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In one paragraph

Article in SIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Article
  2. Tools for computational analysis of moving boundary problems in cellular mechanobiology.Wiley interdisciplinary reviews. Systems biology and medicine · 2020
    Review
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

J A MackenzieDepartment of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK.
M NolanDepartment of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK.
C F RowlattDepartment of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK.
R H InsallCancer Research UK Beatson Institute, Glasgow G61 1BD, UK.

Funding

Cancer Research UK 15672Cancer Research UK 20017Cancer Research UK A15672Cancer Research UK A20017
6 · The paper itself

Abstract

We propose a novel adaptive moving mesh method for the numerical solution of a forced curve shortening geometric evolution equation. Control of the mesh quality is obtained using a tangential mesh velocity derived from a mesh equidistribution principle, where a positive adaptivity measure or monitor function is approximately equidistributed along the evolving curve. Central finite differences are used to discretize in space the governing evolution equation for the position vector, and a second-order implicit scheme is used for the temporal integration. Simulations are presented indicating the generation of meshes which resolve areas of high curvature and are of second-order accuracy. Furthermore, the new method delivers improved solution accuracy compared to the use of uniform arc-length meshes.

Indexed as

35K6553C4453C8065M0665M50forced curve shortening flowgeometric partial differential equationsmonitor functionsmoving mesh methodstangential redistribution

Identifiers

PMID31798297
PMCPMC6890488

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.