

International Conference:
BAIL 2006
Boundary and Interior Layers
 Computational & Asymptotic
Methods 


Minisymposia

Call for Minisymposium Proposals
The Organizing Commitee welcomes Proposals for minisymposia. The
proposed title of the minisymposium, a list of speakers and a short abstract appropriate
for public posting should be submitted.
A minisymposium consists of four to six talks with a common
technical theme. Minisymposium organizers are responsible for
participation of their speakers and collecting and forwarding
initial speaker and talk title information. Minisymposia are allowed
two and a half hours each.
Please submit the proposals by email to Prof. Dr. Gert Lube at
lube@math.unigoettingen.de. The partipication of young
researchers is encouraged.
Minisymposia proposals will be reviewed on a continuous basis until
the proposal deadline, 16 December 2005.
Accepted Minisymposia
N. Kopteva, M. Stynes, E. O'Riordan: Robust methods for
nonlinear singularly perturbed differential equations
ABSTRACT:
This minisymposium is concerned with nonlinear singularly
perturbed differential equations such as semilinear
reactiondiffusion problems, quasilinear parabolic
convectiondiffusion equations, flows in porous media, and the
modelling of catalytic chemical reactions and of turbulence. The
talks deal with methods that are "robust" for such problems, i.e.,
that yield accurate approximations of the solution for a broad range
of values of the singular perturbation parameter. This includes
numerical methods for which numerical experiments demonstrate
robustness for a wide range of values of the parameter, even though
no theoretical proof of convergence exists.
SPEAKER:
 Iuliana Stanculescu: Numerical Analysis of Approximate Deconvolution Models
of Turbulence
 Hong Wang: An EulerianLangrangian Formulation for Multiphase, Multicomponent
Compositional Flow in the Surface
 Grigory I. Shishkin: A posteriori adapted meshes in the approximation of singularly
perturbed quasilinear parabolic convectiondiffusion
equations
 Eugene O'Riordan: A singular perturbation problem arising in the modelling of plasma sheaths
P. Houston, R. Hartmann Selfadaptive Methods for PDEs
ABSTRACT:
Many processes in science and engineering are formulated in terms of
partial differential equations. Typically, for problems of practical interest,
the underlying analytical solution exhibits localised phenomena such as
boundary and interior layers and corner and edge singularities, for example,
and their numerical approximation presents a challenging computational
task. Indeed, in order to resolve such localised features, in an accurate
and efficient manner, it is essential to exploit socalled
selfadaptive methods.
Such approaches are typically based on a posteriori error estimates for the
underlying discretization method in terms of local quantities, such as local
residuals, computed from the discrete solution. Over the last few years, there
have been significant developments within this field in terms of both rigorous
a posteriori error analysis, as well as the subsequent design of optimal meshes.
In this minisymposium, a number of recent developments, such as the design of
highorder and hpadaptive finite element methods will be considered, as
well as anisotropic mesh adaptation and mesh movement.
SPEAKER
 John Mackenzie: A Discontinuous Galerkin Moving Mesh Method for
HamiltonJacobi Equations
 Rene Schneider: Anisotropic mesh adaption based on a posteriori
estimates and optimisation of node positions
 Ralf Hartmann: Discontinuous Galerkin methods for compressible flows:
higher order accuracy, error estimation and adaptivity
 Simona Perotto: Layer Capturing via Anisotropic Adaption
 Vincent Heuveline: On a new refinement strategy for adaptive hp finite element
Debopam Das, Tapan Sengupta: Asymptotic Methods for Laminar and Turbulent boundary Layers
ABSTRACT:
The mini symposium will have contributions dealing with laminar/turbulent flows
their morphology and structures. Specifically, results would be presented that
discuss the very concept of turbulent boundary layers. Also, detailed flow
structures arising in mixed convection problem involving velocity and thermal
boundary/ interior layers will be a focus of another contribution. This session
will also have contributions dealing specifically with temporal and/or
spatiotemporal growth of waves in boundary/ interior layers. For example,
existence of spatiotemporal growth of waves in boundary layer is established
for the first time that is related nonorthogonal modes proposed earlier for
Couette and channel flows. The focus will be on receptivity and stability of
equilibrium steady flows as well as unsteady bidirectional pipe flows that
identifies nonaxisymmetric modes.
SPEAKER:
 Matthias H. Buschman and Mohamed GadelHak , Turbulent Boundary Layers: Reality and Myth (KeyNote Lecture)
 Lj. Savi´c and Herbert Steinrueck
Asymptotic Analysis of the mixed convection flow past a horizontal plate near the trailing edge.
 T. K. Sengupta, and A.K. Rao ,
Spatiotemporal growing waves in boundarylayers by Bromwich contour integral method
 Avinash. Nayak, and Debopam Das ,
Threedimensional Temporal Instability of Unsteady Pipe Flow.
 Jeanette Hussong, Nikolaus Bleier and Venkatesa I. Vasanta Ram ,
The structure of the critical layer of a swirling annular flow in transition.
G.I. Shiskin, P. Hemker: Robust Methods for Problems with Layer Phenomena
and Additional Singularities
ABSTRACT:
The minisymposium will be concerned with singularly perturbed multiscale problems
having additional singularities. A complicated geometry or unbounedness of the domain
and/or the lack of sufficient smoothness (or compatibility) of the problem data
may result in singular solutions that have their own specific scales, besides
boundary/interior layers. We intend to examine techniques for constructing
numerical methods that converge parameteruniformly (in the maximum norm).
The following research aspects will be also considered:
(i) As a rule, such parameteruniformly convergent numerical methods have
too low order of uniform convergence, which restricts their applicability
in practice. With this respect, methods how to increase the accuracy of
parameteruniformly convergent numerical methods will be considered.
(ii) When standard numerical methods, for example, domain decomposition
methods are used to find solutions of parameteruniformly convergent
discrete approximations, the decomposition errors of the discrete
solutions and the number of iterations required to solve the discrete
problem depend on the perturbation parameter and grow when it tends to zero.
We will consider decomposition methods preserving the property of
parameteruniform convergence. Domain decomposition and local defect correction
techniques allows us to reduce the construction of robust numerical methods
for multiscale problems to locally robust methods for monoscale problems
on the specific subdomains.
Other aspects and applications will be also under consideration.
Problems for partial differential equations with different types of
boundary and interior layers will be considered. To construct special
numerical methods, fitted meshes, which are a priori and
a posteriori condensing in the layer regions, are used.
SPEAKER
 Grigory I. Shishkin:
Grid approximation of parabolic equations with nonsmooth initial condition
in the presence of boundary layers of different types
 Lidia P. Shishkina, Grigory I. Shishkin:
A difference scheme of improved accuracy for a quasilinear singularly
perturbed elliptic convectiondiffusion equation in the case
of the thirdkind boundary condition

Deirdre Branley, Alan Hegarty, Helen MacMullen
and Grigory I. Shishkin,
A Schwarz method for a convectiondiffusion problem with a corner singularity
 Shuiying Li , Lidia P. Shishkina and Grigory I. Shishkin},
Parameteruniform method for a singularly perturbed
parabolic equation modelling the BlackScholes equation in the
presence of interior and boundary layers
 Irina V. Tselishcheva, Grigory I. Shishkin ,
Domain decomposition method for a semilinear singularly perturbed
elliptic convectiondiffusion equation with concentrated sources
J. Maubach, I, Tselishcheva: Robust Numerical Methods for Problems
with Layer Phenomena and Applications
ABSTRACT:
Numerical modeling of many processes and physical phenomena leads to
boundary value problems for PDEs having nonsmooth solutions with
singularities of thin layer type. Among them are convectiondominated
convectiondiffusion problems, NavierStokes equations and boundarylayer
equations at high Reynolds number, the driftdiffusion equations of
semiconductor device simulation, flow problems with lift, drag, transition
and interface phenomena, phenomena in plasma fluid dynamics, mathematical
models for the spreading of pollutants, combustion, shock hydrodynamics or
transport in porous media and other related problems. The solutions of
these problems contain thin boundary and interior layers, shocks,
discontinuities, shear layers, or current sheets, etc. The singular
behaviour of the solution in such local structures generally gives rise to
difficulties in the numerical solution of the problem in question by
traditional methods on uniform meshes and requires the use of highly
accurate discretization methods and adaptive grid refinement techniques.
The problem of resolving layers, which is of great practical importance,
is still not solved satisfactorily for a wide class of problems with layer
phenomena and applications, which the minisymposium is concerned with.
SPEAKER
 Alexander I. Zadorin:
Numerical method for the Blasius equation on an infinite interval
 Martijn Anthonissen, Igor Sedykh and Joseph Maubach,
A convergence proof of local defect correction for convectiondiffusion problems
 Joseph Maubach ,
On the difference between left and right preconditioning for
convection dominated convectiondiffusion problems
 Alan Hegarty, Stephen Sikwila and Grigory Shishkin ,
An adaptive method for the numerical solution of an elliptic convection diffusion problem
 Paul Zegeling , An Adaptive Grid Method for the Solar Coronal Loop Model
 Helen Purtill and Grigory I. Shishkin,
A Schwarz method for semilinearreactiondiffusion problems.


Impressum

