FCMLab: A finite cell research toolbox for MATLAB

•Overview of the current state of the art of high-order fictitious domain methods.•Review of the recently introduced Finite Cell Method.•Introduces FCMLab as an entrypoint into high-order fictitious domain methods.•Information provided allows researchers to quickly prototype new numerical ideas. The...

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Vydané v:Advances in engineering software (1992) Ročník 74; s. 49 - 63
Hlavní autori: Zander, N., Bog, T., Elhaddad, M., Espinoza, R., Hu, H., Joly, A., Wu, C., Zerbe, P., Düster, A., Kollmannsberger, S., Parvizian, J., Ruess, M., Schillinger, D., Rank, E.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Ltd 01.08.2014
Elsevier
Predmet:
Civil Engineering
Computer programs
Engineering Sciences
Environmental Sciences
Fictitious domain methods
Finite Cell Method
High-order finite elements
Mathematical analysis
MATLAB
Object oriented
Object-oriented finite elements
Object-oriented programming
p-FEM
Software
Three dimensional
Fictitious domain methods
Finite Cell Method
High-order finite elements
MATLAB
Object-oriented finite elements
p-FEM
ISSN:0965-9978
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Abstract •Overview of the current state of the art of high-order fictitious domain methods.•Review of the recently introduced Finite Cell Method.•Introduces FCMLab as an entrypoint into high-order fictitious domain methods.•Information provided allows researchers to quickly prototype new numerical ideas. The recently introduced Finite Cell Method combines the fictitious domain idea with the benefits of high-order finite elements. Although previous publications demonstrated the method’s excellent applicability in various contexts, the implementation of a three-dimensional Finite Cell code is challenging. To lower the entry barrier, this work introduces the object-oriented MATLAB toolbox FCMLab allowing for an easy start into this research field and for rapid prototyping of new algorithmic ideas. The paper reviews the essentials of the methods applied and explains in detail the class structure of the framework. Furthermore, the usage of the toolbox is discussed by means of different two- and three-dimensional examples demonstrating all important features of FCMLab (http://fcmlab.cie.bgu.tum.de/).
AbstractList The recently introduced Finite Cell Method combines the fictitious domain idea with the benefits of high-order finite elements. Although previous publications demonstrated the method's excellent applicability in various contexts, the implementation of a three-dimensional Finite Cell code is challenging. To lower the entry barrier, this work introduces the object-oriented MATLAB toolbox FCMLab allowing for an easy start into this research field and for rapid prototyping of new algorithmic ideas. The paper reviews the essentials of the methods applied and explains in detail the class structure of the framework. Furthermore, the usage of the toolbox is discussed by means of different two- and three-dimensional examples demonstrating all important features of FCMLab (http://fcmlab.cie.bgu.tum.de/).
•Overview of the current state of the art of high-order fictitious domain methods.•Review of the recently introduced Finite Cell Method.•Introduces FCMLab as an entrypoint into high-order fictitious domain methods.•Information provided allows researchers to quickly prototype new numerical ideas. The recently introduced Finite Cell Method combines the fictitious domain idea with the benefits of high-order finite elements. Although previous publications demonstrated the method’s excellent applicability in various contexts, the implementation of a three-dimensional Finite Cell code is challenging. To lower the entry barrier, this work introduces the object-oriented MATLAB toolbox FCMLab allowing for an easy start into this research field and for rapid prototyping of new algorithmic ideas. The paper reviews the essentials of the methods applied and explains in detail the class structure of the framework. Furthermore, the usage of the toolbox is discussed by means of different two- and three-dimensional examples demonstrating all important features of FCMLab (http://fcmlab.cie.bgu.tum.de/).
Author Joly, A.
Kollmannsberger, S.
Parvizian, J.
Rank, E.
Hu, H.
Wu, C.
Ruess, M.
Düster, A.
Bog, T.
Zerbe, P.
Elhaddad, M.
Zander, N.
Schillinger, D.
Espinoza, R.
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  organization: Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 München, Germany
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  organization: Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 München, Germany
– sequence: 4
  givenname: R.
  surname: Espinoza
  fullname: Espinoza, R.
  organization: Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 München, Germany
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  organization: Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 München, Germany
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  organization: Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 München, Germany
– sequence: 8
  givenname: P.
  surname: Zerbe
  fullname: Zerbe, P.
  organization: Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 München, Germany
– sequence: 9
  givenname: A.
  surname: Düster
  fullname: Düster, A.
  organization: Numerical Structural Analysis with Application in Ship Technology, Hamburg University of Technology, Schwarzenbergstr. 95c, 21073 Hamburg, Germany
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  surname: Kollmannsberger
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  surname: Parvizian
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  fullname: Rank, E.
  organization: Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 München, Germany
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Keywords Fictitious domain methods
Finite Cell Method
High-order finite elements
MATLAB
Object-oriented finite elements
p-FEM
Language English
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Snippet •Overview of the current state of the art of high-order fictitious domain methods.•Review of the recently introduced Finite Cell Method.•Introduces FCMLab as...
The recently introduced Finite Cell Method combines the fictitious domain idea with the benefits of high-order finite elements. Although previous publications...
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SubjectTerms Civil Engineering
Computer programs
Engineering Sciences
Environmental Sciences
Fictitious domain methods
Finite Cell Method
High-order finite elements
Mathematical analysis
MATLAB
Object oriented
Object-oriented finite elements
Object-oriented programming
p-FEM
Software
Three dimensional
Title FCMLab: A finite cell research toolbox for MATLAB
URI https://dx.doi.org/10.1016/j.advengsoft.2014.04.004
https://www.proquest.com/docview/1770376228
https://enpc.hal.science/hal-01763295
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