An isogeometric finite element formulation for phase transitions on deforming surfaces

Christopher Zimmermann; Deepesh Toshniwal; Chad M. Landis; Thomas J. R. Hughes; Kranthi K. Mandadapu; Roger A. Sauer

doi:10.1016/j.cma.2019.03.022

An isogeometric finite element formulation for phase transitions on deforming surfaces

Christopher Zimmermann
, Deepesh Toshniwal
, Chad M. Landis
, Thomas J. R. Hughes
, Kranthi K. Mandadapu
, Roger A. Sauer

Research output: Contribution to journal › Article › Scientific › peer-review

Original language	English
Pages (from-to)	441-477
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	351
DOIs	https://doi.org/10.1016/j.cma.2019.03.022
Publication status	Published - 2019
Externally published	Yes

Keywords

Cahn-Hilliard equation
Geometric PDEs
Isogeometric analysis
Nonlinear finite element methods
Unstructured spline spaces
Thin shell theory

Access to Document

10.1016/j.cma.2019.03.022

Cite this

@article{fe12f151f15b42598236b8511e678ac0,

title = "An isogeometric finite element formulation for phase transitions on deforming surfaces",

keywords = "Cahn-Hilliard equation, Geometric PDEs, Isogeometric analysis, Nonlinear finite element methods, Unstructured spline spaces, Thin shell theory",

author = "Christopher Zimmermann and Deepesh Toshniwal and Landis, \{Chad M.\} and Hughes, \{Thomas J. R.\} and Mandadapu, \{Kranthi K.\} and Sauer, \{Roger A.\}",

year = "2019",

doi = "10.1016/j.cma.2019.03.022",

language = "English",

volume = "351",

pages = "441--477",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier",

}

TY - JOUR

T1 - An isogeometric finite element formulation for phase transitions on deforming surfaces

AU - Zimmermann, Christopher

AU - Toshniwal, Deepesh

AU - Landis, Chad M.

AU - Hughes, Thomas J. R.

AU - Mandadapu, Kranthi K.

AU - Sauer, Roger A.

PY - 2019

Y1 - 2019

KW - Cahn-Hilliard equation

KW - Geometric PDEs

KW - Isogeometric analysis

KW - Nonlinear finite element methods

KW - Unstructured spline spaces

KW - Thin shell theory

U2 - 10.1016/j.cma.2019.03.022

DO - 10.1016/j.cma.2019.03.022

M3 - Article

SN - 0045-7825

VL - 351

SP - 441

EP - 477

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -