Institute for
Numerical Simulation

Research Group
C. Burstedde

@inproceedings{ThanhBursteddeGhattasEtAl12,
  author = {Tan Bui-Thanh and Carsten Burstedde and Omar Ghattas and
		  James Martin and Georg Stadler and Lucas C. Wilcox},
  title = {{Extreme-scale UQ for Bayesian inverse problems governed
		  by PDEs}},
  booktitle = {SC12: Proceedings of the International Conference for High
		  Performance Computing, Networking, Storage and Analysis},
  year = {2012}
}

Publications (Peer-Reviewed)

• Carsten Burstedde and Jose A. Fonseca and Stefan Kollet, Enhancing speed and scalability of the ParFlow simulation code, Accepted for publication in Computational Geosciences (preprint).
• Carsten Burstedde and Johannes Holke, Coarse mesh partitioning for tree-based AMR. Published in SIAM Journal on Scientific Computing 39 No. 5 (2017), pages C364-C392 (preprint, doi).
• Carsten Burstedde and Johannes Holke, A tetrahedral space-filling curve for non-conforming adaptive meshes. Published in SIAM Journal on Scientific Computing 38 No. 5 (2016), pages C451-C503 (preprint, download, doi).
• Mohammad Mirzadeh, Arthur Guittet, Carsten Burstedde, and Frédéric Gibou, Parallel level-set methods on adaptive tree-based grids. Published in Journal of Computational Physics 322 (2016), pages 345-364 (download, doi).
• Michael Lahnert, Carsten Burstedde, Christian Holm, Miriam Mehl, Georg Rempfer, and Florian Weik, Towards lattice-Boltzmann on dynamically adaptive grids - minimally-invasive grid exchange in ESPResSo. In Proceedings of the ECCOMAS '16 Congress, Computational Methods in Structural Dynamics & Earthquake Engineering, 2016 (download).
• Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox, and Omar Ghattas, Recursive algorithms for distributed forests of octrees. Published in SIAM Journal on Scientific Computing 37 No. 5 (2015), pages C497-C531 (doi, download).
• Carsten Burstedde, Donna Calhoun, Kyle Mandli, and Andy R. Terrel, ForestClaw: Hybrid forest-of-octrees AMR for hyperbolic conservation laws. In Proceedings of ParCo '13 and Parallel Computing: Accelerating Computational Science and Engineering (CSE), 2014 (arXiv: 1308.1472).
• Carsten Burstedde, Georg Stadler, Laura Alisic, Lucas C. Wilcox, Eh Tan, Michael Gurnis, and Omar Ghattas, Large-scale adaptive mantle convection simulation. Published in Geophysical Journal International (2013, doi: 10.1093/gji/ggs070, download).
• Laura Alisic, Michael Gurnis, Georg Stadler, Carsten Burstedde, and Omar Ghattas, Multi-Scale Dynamics and Rheology of Mantle Flow With Plates. Published in Journal of Geophysical Research 117 (2012), page B10402 (doi: 10.1029/2012JB009234, download).
• Tan Bui-Thanh, Carsten Burstedde, Omar Ghattas, James Martin, Georg Stadler, and Lucas C. Wilcox, Extreme-scale UQ for Bayesian inverse problems governed by PDEs. Published in ACM/IEEE SC Conference Series, 2012 (download). Finalist paper for the Gordon Bell Prize 2012.
• Hari Sundar, George Biros, Carsten Burstedde, Johann Rudi, Omar Ghattas, and Georg Stadler, Parallel Geometric-Algebraic Multigrid on Unstructured Forests of Octrees. Published in ACM/IEEE SC Conference Series, 2012 (download).
• James Martin, Lucas C. Wilcox, Carsten Burstedde, and Omar Ghattas, A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion. Published in SIAM Journal on Scientific Computing 34 No. 3 (2012), pages A1460-A1487 (doi: 10.1137/110845598, download).
• Tobin Isaac, Carsten Burstedde, and Omar Ghattas, Low-Cost Parallel Algorithms for 2:1 Octree Balance. Published in Proceedings of the 26th IEEE International Parallel & Distributed Processing Symposium, 2012 (download).
• Wolfgang Bangerth, Carsten Burstedde, Timo Heister, and Martin Kronbichler, Algorithms and Data Structures for Massively Parallel Generic Adaptive Finite Element Codes. Published in ACM Transactions on Mathematical Software Volume 38 No. 2 (2011), pages 14.1-14.28 (download, bibtex file).
• Carsten Burstedde, Lucas C. Wilcox, and Omar Ghattas, p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees. Published in SIAM Journal on Scientific Computing 33 No. 3 (2011), pages 1103-1133 (doi, download, bibtex file).
• Laura Alisic, Michael Gurnis, Georg Stadler, Carsten Burstedde, Lucas C. Wilcox, and Omar Ghattas, Slab Stress and Strain Rate as Constraints on Global Mantle Flow. Published in Geophysical Research Letters 37 (2010), pages L22308 (doi, download).
• Lucas C. Wilcox, Georg Stadler, Carsten Burstedde, and Omar Ghattas, A High-Order Discontinuous Galerkin Method for Wave Propagation Through Coupled Elastic-Acoustic Media. Published in Journal of Computational Physics 229 No. 24 (2010), pages 9373-9396 (doi, download).
• Carsten Burstedde, Omar Ghattas, Michael Gurnis, Tobin Isaac, Georg Stadler, Tim Warburton, and Lucas C. Wilcox, Extreme-Scale AMR. Published in ACM/IEEE SC Conference Series, 2010 (download). Finalist paper for the Gordon Bell Prize 2010.
• Georg Stadler, Michael Gurnis, Carsten Burstedde, Lucas C. Wilcox, Laura Alisic, and Omar Ghattas, The Dynamics of Plate Tectonics and Mantle Flow: From Local to Global Scales. Published in Science 329 No. 5995 (August 27, 2010), pages 1033-1038 (doi: 10.1126/science.1191223, link, download, cover page).
• Carsten Burstedde and Omar Ghattas, Algorithmic strategies for full waveform inversion: 1D experiments. Published in Geophysics 74 No. 6 (2009), pages WCC37-WCC46 (doi: 10.1190/1.3237116, download).
• Carsten Burstedde, Martin Burtscher, Omar Ghattas, Georg Stadler, Tiankai Tu, and Lucas C. Wilcox, ALPS: A framework for parallel adaptive PDE solution. Published in Journal of Physics: Conference Series 180 (2009), page 012009 (doi: 10.1088/1742-6596/180/1/012009, download).
• Carsten Burstedde, Omar Ghattas, Georg Stadler, Tiankai Tu, and Lucas C. Wilcox, Parallel scalable adjoint-based adaptive solution for variable-viscosity Stokes flows. Published in Computer Methods in Applied Mechanics and Engineering 198 No. 21-26 (2009), pages 1691-1700 (doi: 10.1016/j.cma.2008.12.015, download).
• Carsten Burstedde, Omar Ghattas, Mike Gurnis, Georg Stadler, Eh Tan, Tiankai Tu, Lucas C. Wilcox, and Shijie Zhong, Scalable adaptive mantle convection simulation on petascale supercomputers. Published in ACM/IEEE SC Conference Series, 2008 (download). Finalist paper for the Gordon Bell Prize 2008.
• Carsten Burstedde, Omar Ghattas, Georg Stadler, Tiankai Tu, and Lucas C. Wilcox, Towards Adaptive Mesh PDE Simulations on Petascale Computers. Published in Proceedings of Teragrid '08 (download). Award winning paper of the NSF Teragrid '08 Capability Computing Challenge.
• Carsten Burstedde and Angela Kunoth, A wavelet-based nested iteration-inexact conjugate gradient algorithm for adaptively solving elliptic PDEs. Published in Numerical Algorithms 48 No. 1-3 (2008), pages 161-188 (download).
• Carsten Burstedde and Omar Ghattas, Algorithmic Strategies for Full Waveform Inversion: 1D Experiments. 77th Annual International Meeting, SEG, Expanded Abstracts (2007), pages 1913-1917 (doi: 10.1190/1.2792864, download).
• Carsten Burstedde, On the Numerical Evaluation of Fractional Sobolev Norms. Published in Communications on Pure and Applied Analysis 6 No. 3 (2007), pages 587-605 (download).
• Carsten Burstedde, Jürgen Braun, and A. Kunoth, Computing Light Masks in Neutral Atom Lithography. Published in Journal of Computational Physics 220 No. 1 (2006), pages 422-440 (download).
• Carsten Burstedde and Angela Kunoth, Fast Iterative Solution of Elliptic Control Problems in Wavelet Discretization. Published in Journal of Computational and Applied Mathematics 196 No. 1 (2006), pages 299-319 (download).
• M. Mützel, U. Rasbach, D. Meschede, C. Burstedde, J. Braun, A. Kunoth, K. Peithmann, and K. Buse, Atomic Nanofabrication with Complex Light Fields. Published in Applied Physics B 77 (2003), 1-9 (download).
• Carsten Burstedde, Kai Klauck, Andreas Schadschneider, and Johannes Zittartz, Simulation of pedestrian dynamics using a two-dimensional cellular automaton. Published in Physica A 295 (2001), 507-525 (download).

Preprints, Manuscripts, Reports, and Book Chapters

• Michael Lahnert, Takayuki Aoki, Carsten Burstedde, and Miriam Mehl, Minimally-Invasive Integration of p4est in ESPResSo for Adaptive Lattice-Boltzmann. The 30th Computational Fluid Dynamics Symposium, Japan Society of Fluid Mechanics, 2016.
• Carsten Burstedde, Johannes Holke, and Tobin Isaac, Bounds on the number of discontinuities of Morton-type space-filling curves. Preprint, 2015 (arxiv: 1505.05055).
• Carsten Burstedde, Was ist eigentlich Wissenschaftliches Rechnen? In: Forschung & Lehre, March 2013, pages 216-217, invited article (download).
• Georg Stadler, Carsten Burstedde, and Mike Gurnis, Plattentektonik im Supercomputer. In: Spektrum der Wissenschaft, April 2011, invited article (download).
• Wolfgang Bangerth, Carsten Burstedde, Timo Heister, and Martin Kronbichler, Algorithms and Data Structures for Massively Parallel Generic Adaptive Finite Element Codes. IAMCS Preprint 2011-187, Texas A&M University (download).
• Omar Ghattas, James Martin, Lucas C. Wilcox, and Carsten Burstedde, A stochastic Newton method for Bayesian inverse problems. In: Matthias Heinkenschloss, Ronald H. W. Hoppe, and Volker Schulz (editors), Numerical Techniques for Optimization Problems with PDE Constraints, Oberwolfach Report 04/2009, pages 215-218.
• Georg Stadler, Carsten Burstedde, Omar Ghattas, Tiankai Tu, and Lucas C. Wilcox, Towards highly parallel mesh adaptation for large-scale PDE applications. In: Karl Kunisch, Günter Leugering, Jürgen Sprekels, and Fredi Tröltzsch (editors), Optimal Control of Coupled Systems of PDEs, Oberwolfach Report 13/2008, pages 645-655.
• Carsten Burstedde, Angela Kunoth, and Roland Pabel, Fast wavelet schemes for control problems constrained by elliptic PDEs. In: Matthias Heinkenschloss, Ronald H. W. Hoppe, and Volker Schulz (editors), Numerical Techniques for Optimization Problems with PDE Constraints, Oberwolfach Report 11/2006, pages 595-597.
• Carsten Burstedde, Fast Optimised Wavelet Methods for Control Problems Constrained by Elliptic PDEs. PhD Dissertation, Mathematisch-Naturwissenschaftliche Fakultät, Universität Bonn, 2005 (download).
• Angela Kunoth, Carsten Burstedde, and Wolfgang Dahmen, (Adaptive) wavelet methods for control problems with PDE constraints. In: Schnelle Löser für Partielle Differentialgleichungen, Oberwolfach Report 24/2003, page 7.
• C. Burstedde, A. Kirchner, K. Klauck, A. Schadschneider, and J. Zittartz, Cellular Automaton Approach to Pedestrian Dynamics - Applications. In: M. Schreckenberg, S. Sharma (editors), Pedestrian and Evacuation Dynamics, Springer 2002 (download).
• Carsten Burstedde, Simulation von Fußgängerverhalten mittels zweidimensionaler zellulärer Automaten. Diploma thesis, Institut für Theoretische Physik, Universität zu Köln, 2001 (download).