Adaptive Hierarchical Isogeometric Finite Element Methods [electronic resource] / by Anh-Vu Vuong.

By:

Vuong, Anh-Vu [author.]

Contributor(s):

SpringerLink (Online service)

Publisher: Wiesbaden : Vieweg+Teubner Verlag, 2012Description: XX, 128p. 63 illus., 20 illus. in color. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783834824455

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Printed edition:: No titleDDC classification:

510 23

LOC classification:

QA1-939

Online resources:

Click here to access online

In: Springer eBooksSummary: Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.

Item type:

eBooks

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Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.