Theoretical and Numerical Aspects of Geometric Variational Problems

Preface

This volume contains the proceedings of a seminar week of invited talks associated with the Workshop "Theoretical and Numerical Aspects of Geometric Variational Problems".  The Workshop was conducted between August and October 1990:  the seminar week was held from September 24 - 28.

The workshop brought together researchers primarily from Australia and Germany working in theoretical and applied mathematics, numerical analysis and computer simulation.  Particular emphasis was put on the graphical visualisation of geometric data.  Many of the participants expressed their pleasure at the extend of the interaction between researchers in different but related fields.

The workshop was supported by the Department of Industry, Technology and Commerce (DITAC), through the Bilateral Science and Technology Program; but the German Research Foundation (DFG), Bonn; and by the Sonderforchungbereich SFB 256, Bonn University.  The workshop was held at the Centre for Mathematical Analysis at the Australian National University with the assistance of the Centre and the Department of Mathematics.

The organisers would like to thank all participants for their role in the success of the meeting.  Particular thanks are due to Marilyn Gray and Jill Smith for their extensive help towards the smooth running and friendly atmosphere of the workshop.

Contents

Chapter Page no
1 - Flow of Hypersurfaces by Curvature Functions (PDF, 809KB)
Ben Andrews
1
2 - Variational Techniques and Open Problems in the Recovery of Surface Shape from Image Shading (PDF, 1946KB)
MJ Brooks
11
3 - On Entire solutions of the p-LAPLACIAN (PDF, 2150KB)
J Chabrowski
27
4 - Discrete Norms for the Convergence of Boundary Intergral Methods (PDF, 1126KB)
GA Chandler
62
5 - Recent Existence and Uniqueness Results in Shading Analysis (PDF, 1229KB)
W Chojnacki
79
6 - On Singular Variational Problems (PDF, 1638KB)
Ulrich Dierkes
89
7 - Local Techniques for Mean Curvature Flow (PDF, 813KB)
Klaus Ecker
107
8 - A Geometric Measure Theory Approach to Exterior Problems for Minimal Surfaces (PDF, 558KB)
Michael Gruter
120
9 - Singularity Formation in Geometric Evolution Equations (PDF, 916KB)
Gerhard Huisken
128
10 - Computing Conformal Maps and Minimal Surfaces (PDF, 2662KB)
John Hutchinson
140
11 - Second Order Elliptica Equations with Venttsel Boundary Conditions (PDF, 751KB)
Yousong Luo
162
12 - Variational Properties of Some Simple Boundary Integral Equations (PDF, 1331KB)
W McLean
168
13 - Some Topical Variational Geometry Problems in Computer Graphics (PDF, 2048KB)
GN Newsam
179
14 - Local Spline Approximants (PDF, 648KB)
Andrew H Norton
195
15 - New Periodic Minimal Surfaces in H3 (PDF, 1229KB)
Konrad Polthier
201
16 - Hierarchical N-Body Calculations (PDF, 1229KB)
Stephen Roberts
211
17 - Solution Geometry, KAC-MOODY Algerbras and the Yang-Baxter Equations (PDF, 823KB)
Ivan Sterling
225
18 - Crystalline Geometric Crystal growth (PDF, 386KB)
Jean E Taylor
231
19 - Further Existence Results for Two Point Boundary Value Problems Arising in Electro-Diffusion (PDF, 535KB)
HB Thompson
235
20 - Plateau's Problem for Minimal Surface with a Catenoidal End (PDF, 837KB)
Friedrich Tomi
240
21 - Boundary Regularity for the Solution of the Equation of Prescribed Mean Curvature (PDF, 398KB)
John IE Urbas
248
22 - Least Gradient Problems (PDF, 902KB)
Graham Williams
255
23 - Compensated Compactness and the Biting Lemma (PDF, 587KB)
Lewei Zhang
265

Printed copy

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Volume

Volume 26

Date

24 Sep 1990 to 28 Sep 1990

Venue

Australian National University

Updated:  24 June 2017/Responsible Officer:  Director/Page Contact:  School Manager