Martin Burger
Education
- Ph.D., Johannes Kepler University Linz, 2000
- Dipl.Ing.., Johannes Kepler University Linz, 1998
Professional Experience
- Visitor, Department of Mathematics, University Milano, 1998
- PhD-Student, Industrial Mathematics Institute, University Linz,
1999-2000
- Post-Doc Researcher SFB F 013, University Linz, 2000-2001
- Civil Service at Hilfswerk Oberösterreich, Linz, 2001-2002
- University Assistant, Industrial Mathematics Institute,
University Linz, 2002-2003
- CAM Assistant Professor, UCLA, 2003-2004
- University Assistant, Industrial Mathematics Institute,
University Linz, 2004-
Memberships
- ÖMG, Österreichische Mathematische Gesellschaft.
Research Interests
- Level Set Methods and Geometric Motion. Applications to
free boundary problems in materials science, shape optimization,
inverse problems.
- Nucleation and Growth Processes. Modelling and
simulation, inverse problems. Polymers, semiconductors.
- Semiconductor Devices. Optimal design, inverse dopant
profiling, simulation.
- Optimization with PDEs. Computational methods for
parameter identification, optimal control and design. All-at-once
approaches.
- Scientific Computing.
Selected Publications
- M.Burger, H.W.Engl, P.Markowich and P.Pietra, Identification
of doping profiles in semiconductor devices, Inverse Problems 17
(2001), 1765-1795.
- M.Burger, R.Pinnau, Fast optimal design of semiconductor
devices, SIAM J. Appl. Math. 64 (2003), 108-126.
- M.Burger and V.Capasso, Mathematical modelling and
simulation of
non-isothermal crystallization of polymers, Math. Models and
Methods in
Appl. Sciences 11 (2001), 1029-1054.
- V.Capasso, M.Burger, A.Micheletti, C.Salani, Mathematical
models for polymer crystallization proceses , in: V.Capasso, ed., Mathematical
modelling for polymer industry (Springer, 2002), 167-242.
- M.Burger, Iterative regularization of a parameter
identification problem occurring in polymer crystallization , SIAM
J. Numer. Anal. 39 (2001), 1029-1055.
- M.Burger and W.Mühlhuber, Iterative regularization of
parameter identification problems by SQP methods, Inverse Problems
18 (2002), 943-970.
- M.Burger and W.Mühlhuber, Numerical approximation of an
SQP-type method for parameter identification, SIAM J. Numer. Anal.
40 (2002), 1775 - 1797.
- M.Burger and A.Neubauer, Analysis of Tikhonov
regularization for function approximation by neural networks,
Neural Networks 16 (2003), 79-90.
- M.Burger, A level set method for inverse problems,
Inverse Problems 17 (2001), 1327-1356.
- M.Burger, A framework for the construction of level set
methods for shape optimization and reconstruction, Interfaces and
Free Boundaries 5 (2003), 301-329.
- M.Burger, Levenberg-Marquardt level set methods for inverse
obstacle problems, Inverse Problems 20 (2004), 259-282
- M.Burger, B.Hackl, W.Ring, Incorporating topological
derivatives into level set methods, J. Comp. Phys. (2003), to
appear.
- M.Burger, S.Osher, E.Yablonovitch, Inverse problem
techniques
for the design of photonic crystals, IEICE Transactions E 87
(2004),
to appear.
Some Recent Talks
- Growth and Impingement in
Polymer Melts, Conference "Free Boundary Problems", Trento, June
2002.
- All-at-once approaches for
parameter identification problems: iterative regularization by SQP
methods, SIAM 50th Annual Meeting, Philadelphia, July 2002
- Nonlocal geometric motions
for growth processes and inverse problems, Conference "Applied
Inverse Problems, Lake Arrowhead, USA, May 2003.
- Fast optimal design of
semiconductor devices, Conference "Applied Inverse
Problems, Lake Arrowhead, USA, May 2003.
- Level set methods for
inverse obstacle problems, 3 Tutorial Talks at the IPAM
Special Semester "Inverse Problems", UCLA, September 2003.
- Fast level set based
optimization techniques, IPAM Workshop "Level Set Methods
for
Inverse Problems and Optimal Design", UCLA, November 2003.
- Nonlocal geometric motion
, IPAM Workshop "Geometrically Based Motions 2", Lake Arrohead,
December
2003.
- Optimal design of
semiconductor and
nano devices, PACM Colloquium, Princeton University,
February 2003.
- Fast optimal design of semiconductor
devices,
Joint APAM / IEOR Colloquium, Columbia
University, New York, February
2003.
- Fast
level set based optimization techniques, Applied
Mathematics Colloquium, UC Irvine, March 2004.
- Optimal
design of semiconductor and
nano devices, CAM Colloquium, University of Southern
California, Los Angeles, March
2004.
- Inverse Dopant Profiling
in
Semiconductor Devices,
European Conference on Computational Optimization, Dresden, March
2004.
- Numerical methods for
Anisotropic
Surface Diffusion,
Conference Free Boundary Problems, Montecatini, June
2004.
- Optimal
design of semiconductor and
nano devices, Kolloquium Numerische Mathematik,
Technische Universität
Dresden, June
2004.
- Optimal
design of semiconductor and
nano devices, Kolloquium, Universität
Erlangen-Nürnberg July
2004.
- Anisotropic interface
dynamics with
curvature regularization , Kolloquium Numerische
Mathematik, Universität Duisburg-Essen, July
2004.
- Interface motion with
strong
anisotropies, Conference INTERPHASE 2004, Rome,
September 2004.
- Parameter
identification in partial differential equations, 6 lectures
at the Winter school on inverse problems, Geilo, Norway, February
2005.
- Level
set methods for shape optimization and
reconstruction, Plenary talk
at
ALGORITMY 2005, Podbanske, SK, March 2005.
- BV
/ Level Set Relaxation of Topology
Optimization Problems, GAMM-Jahrestagung
2005, Luxemburg, March 2005.
- Optimal design of semiconductor devices,
Conference Kinetic Equations: Direct
and Inverse Problems, Mantova, May 2005
- Current
challenges in geometric flows,
Mathematisches Kolloquium, Universität Wien, May 2005
- BV
/ Level Set Relaxation of Topology
Optimization Problems, IPAM Reunion Inverse Problems, Lake Arrowhead, June 2005
Last Updated: 24/08/05
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