Evidence map›Paper›PMID 32981972›Full record

ArticleInternational journal for numerical methods in engineering2019

An energy-stable mixed formulation for isogeometric analysis of incompressible hyper-elastodynamics.

Ju Liu, Alison L Marsden, Zhen Tao

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Article in International journal for numerical methods in engineering, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.

0numbers the graph read from it
0cells of the map it votes in
4citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

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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

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3 · Its place in the literature

Who cites it

4 citing papers in PubMed.

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4 · The record

Corrections and comments

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5 · Who and what money

Authors and funding

3 authors.

Ju LiuDepartment of Pediatrics (Cardiology), Bioengineering, and Institute for Computational and Mathematical Engineering, Stanford University, Clark Center E1.3, 318 Campus Drive, Stanford, CA 94305, USA.
Alison L MarsdenDepartment of Pediatrics (Cardiology), Bioengineering, and Institute for Computational and Mathematical Engineering, Stanford University, Clark Center E1.3, 318 Campus Drive, Stanford, CA 94305, USA.
Zhen TaoInstitute for Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th Street, 1 University Station C0200, Austin, TX 78712, USA.

Funding

Improving Tissue Engineered Vascular Graft Performance via Computational ModelingR01HL139796 · NHLBI · RESEARCH INST NATIONWIDE CHILDREN'S HOSP · PI BREUER, CHRISTOPHER KANE, HUMPHREY, JAY D. · 2018 to 2025
$6.4M
The Cardiac Atlas ProjectR01HL121754 · NHLBI · UNIVERSITY OF CALIFORNIA, SAN DIEGO · PI MCCULLOCH, ANDREW D., OMENS, JEFFREY H. · 2014 to 2023
$5.0M
Multiscale modeling for vein graft failure risk stratification in CABG patientsR01HL123689 · NHLBI · UNIVERSITY OF CALIFORNIA, SAN DIEGO · PI MARSDEN, ALISON L · 2014 to 2018
$1.9M
NHLBI NIH HHS R01 HL121754NHLBI NIH HHS R01 HL123689NHLBI NIH HHS R01 HL139796
6 · The paper itself

Abstract

We develop a mixed formulation for incompressible hyper-elastodynamics based on a continuum modeling framework recently developed in [41] and smooth generalizations of the Taylor-Hood element based on non-uniform rational B-splines (NURBS). This continuum formulation draws a link between computational fluid dynamics and computational solid dynamics. This link inspires an energy stability estimate for the spatial discretization, which favorably distinguishes the formulation from the conventional mixed formulations for finite elasticity. The inf-sup condition is utilized to provide a bound for the pressure field. The generalized-

Indexed as

Anisotropic arterial wall modelEnergy stabilityGeneralized-α methodIncompressible elasticityInf-sup conditionMixed formulation

Identifiers

PMID32981972
PMCPMC7517668

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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.