Program

Workshop on Adaptive Methods for Differential Equations

Royal Institute of Technology, Stockholm, Sweden

March 30 - April 1 , 1998


Monday, March 30

9.00 Introduction
Distribution of time slots for contributing speakers
9.15 Rolf Rannacher, Heidelberg
9.45 Donald Estep, Atlanta
Estimating the error of numerical solutions of nonlinear reaction-diffusion equations
10.15 Coffee break
10.45 Endre Süli, Oxford
A posteriori error estimation and adaptivity for finite element methods of hyperbolic problems
11.20 A. Schleupen and E. Ramm, Stuttgart
A posteriori error estimates for local and global variables in structural mechanics
11.40 A. Medovikov, Moscow
High order explicit methods for parabolic equations
12.00 C. Eck and W. Wendland, Stuttgart
Adaptivity for contact problems based on stress intensity factors
13.00 Lunch break
15.00 V. I. Lebedev, Moscow
Explicit difference schemes for solving stiff systems of ODEs and PDEs with complex spectrum
15.20 D. Kay and D. Silvester, Manchester
A posteriori error estimation for stabilised mixed approximations of the Stokes equations
15.40 O. Axelsson and M. Nikolova, Nijmegen
A priori and a posteriori adaptive refinement for convection-diffusion problems
16.00 R. Becker, Sophia Antipolis, and R. Rannacher, Heidelberg
Adaptive FEM for optimal control of PDEs: Basic concepts
16.20 Coffee break
19.00 Dinner at a restaurant close to the Royal Institute

Tuesday, March 31

9.00 David Keyes, Norfolk
Algorithmic and Architectural Adaptivity in Nonlinear Implicit Methods
9.30 William Henshaw, Los Alamos
A Framework for Solving Partial Differential Equations on Moving Geometries With Adaptive Mesh Refinement
10.00 Coffee break
10.30 Kenneth Powell, Ann Arbor
An Upwind, Parallel, Solution-Adaptive Scheme for Magnetohydrodynamics
11.00 Leland Jameson, Honolulu
Adaptive Numerical Methods Guided by Wavelet Analysis
11.30 Short break
11.40 F.-T. Suttmeier, Heidelberg
An adaptive displacement/pressure finite element scheme for treating incompressibility effects in elasto-plastic materials
12.00 M. Larsson, Stanford
12.20 E. Christiansen, Odense
Adaptive mesh refinement in limit analysis
12.40 D. Kroener and M. Ohlberger, Freiburg
A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
13.00 Lunch break
14.30 P. Nettesheim, Berlin
Quantum-classical molecular dynamics: Construction of numerical integrators
14.50 F. Hebeker, Muenchen, R. Rannacher and C. Fuehrer, Heidelberg
An adaptive finite element scheme for convection-dominated flows with stiff source terms
15.10 W. Doerfler, Freiburg
Uniformly convergent finite-element methods for singular perturbed convection-diffusion equations
15.30 Coffee break
18.00 Cocktail party at the Mittag-Leffler Institute in Djursholm

Wednesday, April 1

9.00 Scott Baden, San Diego
Software issues in structured adaptive mesh methods
9.30 Gustaf Söderlind, Lund
The Automatic Control of Numerical Integration
10.00 Coffee break
10.20 E. Burman, Gothenburg
10.40 P. Lötstedt and S. Söderberg, Uppsala
Block adaptive methods on structured grids for hyperbolic PDEs
11.00 J. Walden, New Haven and Uppsala
Filter bank methods for conservation laws
11.20 A. Szepessy, Stockholm
Stochastic differential equations and adaptive methods
11.40 B. Wohlmuth, New York and Augsburg
Adaptive concepts for domain decomposition on nonmatching grids
12.00 Important problems and future directions
Discussion by a panel of invited speakers led by Bertil Gustafsson and Claes Johnson
13.00 Lunch
14.00 Excursion to Moderna Museet