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.
Author(s): Gerd Dziuk, Gerhard Huisken, John E. Hutchinson (Eds.)
Series: Proceedings of the Centre for Mathematical Analysis 26
Edition: 1
Publisher: Centre for Mathematics and Its Applications, Australian National University
Year: 1991
Language: English
Commentary: Made from the PDFs at: http://maths.anu.edu.au/research/symposia-proceedings/theoretical-and-numerical-aspects-geometric-variational-problems
Pages: 269
City: Canberra
1 - Flow of Hypersurfaces by Curvature Functions - Ben Andrews......Page 1
2 - Variational Techniques and Open Problems in the Recovery of Surface Shape from Image Shading - MJ Brooks......Page 11
3 - On Entire solutions of the p-LAPLACIAN - J Chabrowski......Page 27
4 - Discrete Norms for the Convergence of Boundary Intergral Methods - GA Chandler......Page 62
5 - Recent Existence and Uniqueness Results in Shading Analysis - W Chojnacki......Page 79
6 - On Singular Variational Problems - Ulrich Dierkes......Page 89
7 - Local Techniques for Mean Curvature Flow - Klaus Ecker......Page 107
8 - A Geometric Measure Theory Approach to Exterior Problems for Minimal Surfaces - Michael Gruter......Page 120
9 - Singularity Formation in Geometric Evolution Equations - Gerhard Huisken......Page 128
10 - Computing Conformal Maps and Minimal Surfaces - John Hutchinson......Page 140
11 - Second Order Elliptica Equations with Venttsel Boundary Conditions - Yousong Luo......Page 162
12 - Variational Properties of Some Simple Boundary Integral Equations - W McLean......Page 168
13 - Some Topical Variational Geometry Problems in Computer Graphics - GN Newsam......Page 179
14 - Local Spline Approximants - Andrew H Norton......Page 195
15 - New Periodic Minimal Surfaces in H3 - Konrad Polthier......Page 201
16 - Hierarchical N-Body Calculations - Stephen Roberts......Page 211
17 - Solution Geometry, KAC-MOODY Algerbras and the Yang-Baxter Equations - Ivan Sterling......Page 225
18 - Crystalline Geometric Crystal growth - Jean E Taylor......Page 231
19 - Further Existence Results for Two Point Boundary Value Problems Arising in Electro-Diffusion - HB Thompson......Page 235
20 - Plateau's Problem for Minimal Surface with a Catenoidal End - Friedrich Tomi......Page 240
21 - Boundary Regularity for the Solution of the Equation of Prescribed Mean Curvature - John IE Urbas......Page 248
22 - Least Gradient Problems - Graham Williams......Page 255
23 - Compensated Compactness and the Biting Lemma - Lewei Zhang......Page 265
