Finite element approximations to surfaces of prescribed variable mean curvature

Gerhard Dziuk; John E. Hutchinson

doi:10.1007/s00211-005-0649-7

Finite element approximations to surfaces of prescribed variable mean curvature

Gerhard Dziuk^*, John E. Hutchinson

^*Corresponding author for this work

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

19 Citations (Scopus)

Abstract

We give an algorithm for finding finite element approximations to surfaces of prescribed variable mean curvature, which span a given boundary curve. We work in the parametric setting and prove optimal estimates in the H ¹ norm. The estimates are verified computationally.

Original language	English
Pages (from-to)	611-648
Number of pages	38
Journal	Numerische Mathematik
Volume	102
Issue number	4
DOIs	https://doi.org/10.1007/s00211-005-0649-7
Publication status	Published - Feb 2006

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title = "Finite element approximations to surfaces of prescribed variable mean curvature",

abstract = "We give an algorithm for finding finite element approximations to surfaces of prescribed variable mean curvature, which span a given boundary curve. We work in the parametric setting and prove optimal estimates in the H 1 norm. The estimates are verified computationally.",

author = "Gerhard Dziuk and Hutchinson, \{John E.\}",

year = "2006",

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AU - Hutchinson, John E.

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AB - We give an algorithm for finding finite element approximations to surfaces of prescribed variable mean curvature, which span a given boundary curve. We work in the parametric setting and prove optimal estimates in the H 1 norm. The estimates are verified computationally.

UR - https://www.scopus.com/pages/publications/31744432035

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DO - 10.1007/s00211-005-0649-7

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VL - 102

SP - 611

EP - 648

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 4

ER -

Finite element approximations to surfaces of prescribed variable mean curvature

Abstract

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