Holger Wendland's
Research
Research Interests
My current research is concerned with problems from Numerical
Analysis, Applied Mathematics, and Scientific Computing. I am
particularly interested in developing and analysing new discretisation
methods for the numerical solution of partial differential equations.
Recent projects comprise:
- The development of new high-order discretisation spaces based
upon radial basis functions and scattered data. These are flexible
tools particularly for problems with moving boundaries or in higher
dimensional spaces.
- The investigation of efficient solvers for
fluid-structure-interaction problems as they typically appear in
aeroelasticity.
- The development of divergence-free approximation spaces with
applications to fluid-flow problems.
- The analysis of multiscale phenomena using scaled versions of
compactly supported radial basis functions.
- The application of meshfree methods to dynamical systems with
applications in biomechanics.
- The development of meshfree approximation methods on the sphere
with applications to geo-science problems and weather modelling.
- The application of meshfree methods to semilinear parabolic
problems on (evolving) surfaces.
More details about this can be found by consulting my publications and
will, hopefully, also follow on this page.
Upcoming Conferences
2017
- ENUMATH 2017, Voss
(Norway), 25-29, 2017.
- The V. International Conference on Particle-Based Methods
(PARTICLES 2017), Hannover (Germany), 26 - 28 September 2017.
- The 27th Biennial Numerical Analysis
Conference, Glasgow (UK), June 27-30, 2017
- SPHERIC, International Workshop, Ourense (Spain), June 13-15,
2017.
- PDEs on
the Sphere 2017, Paris (France), April 3-7, 2017.
- The 7th
Workshop on High-Dimensional Approximation, UNSW (Sydney,
Australia), February 13-17, 2017.
2016
- Signal, Image, Geometry, Modelling,
Approximation,
Marseille (France), October 31- November 4, 2016.
- USACM Thematic
Conference on Isogeometric Analysis (IGA) and Meshfree
Methods, San Diego (USA), October 10-12, 2016.
- Multivariate Approximation and Interpolation
with Applications, Marseille (France), September 18-23, 2016.
- 4th
Dolomites Workshop on Constructive Approximation and Applications
(DWCAA16), Alba di Canazei (Italy), September 8-13, 2016.
- Mecklenburg Workshop on Approximation Methods
and Data Analysis, Hasenwinkel (Germany), September 5-9, 2016.
- WDI2 , Passau (Germany), July 15.
Previous Conferences
- Learning Theory and Approximation, Oberwolfach (Germany), July
3-9, 20016.
- 9th International
Conference on Mathematical Methods for Curves and Surfaces,
Tonsberg (Norway), June 23-28, 2016.
- The Mathematics of Finite Elements and
Applications, London (UK), June 14-17, 2016.
-
Spheric 2016, Munich (Germany), June 13-16, 2016.
- Third Workshop on Mathematical Aspects of Data Science, Shanghai
(China), May 20-23, 2016.
- 14th
International Conference in Approximation Theory, San Antonio
(USA), May 22-25, 2016.
- The 14th
European Finite Element Fair, Bonn (Germany), May 20-21,
2016.
- International Conference on Multivariate Approximation, Schloss
Rauischholzhausen (Germany), March 31 - April 5, 2016
-
Donau Isar Workshop WDI2, Munich (Germany),
February 12, 2016.
-
Kernel-based methods and function approximation,
February 5, 2016.