An Adaptive Finite Element Method for Minimal Surfaces

W. Dörfler () and K. G. Siebert ()
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W. Dörfler: Universität Karlsruhe, Institut für Angewandte Mathematik II
K. G. Siebert: Universität Freiburg, Institut für Angewandte Mathematik

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 147-175 from Springer

Abstract: Summary Our aimis to compute surfaces of the topological type of the disc that are stationary points of the area functional. Since such computations may be very time consuming, we derive an a posteriori controlled adaptive algorithm based on a recently developed and analyzed finite element method [11] [12] [13]. Numerical results are presented for two examples.

Keywords: Finite Element Method; Minimal Surface; Posteriori Error; Refined Mesh; Boundary Vertex (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_10

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DOI: 10.1007/978-3-642-55627-2_10

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