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We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax = 1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor field which modifies the transition rates to neighbouring cells. This field, which can be discrete or continuous, is… (More)

- Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas
- SIAM J. Scientific Computing
- 2011

We present scalable algorithms for parallel adaptive mesh refinement and coarsening (AMR), partitioning, and 2:1 balancing on computational domains composed of multiple connected two-dimensional quadtrees or three-dimensional octrees, referred to as a forest of octrees. By distributing the union of octants from all octrees in parallel, we combine the high… (More)

- James Martin, Lucas C. Wilcox, Carsten Burstedde, Omar Ghattas
- SIAM J. Scientific Computing
- 2012

We address the solution of large-scale statistical inverse problems in the framework of Bayesian inference. The Markov chain Monte Carlo (MCMC) method is the most popular approach for sampling the posterior probability distribution that describes the solution of the statistical inverse problem. MCMC methods face two central difficulties when applied to… (More)

- Georg Stadler, Michael Gurnis, Carsten Burstedde, Lucas C. Wilcox, Laura Alisic, Omar Ghattas
- Science
- 2010

Plate tectonics is regulated by driving and resisting forces concentrated at plate boundaries, but observationally constrained high-resolution models of global mantle flow remain a computational challenge. We capitalized on advances in adaptive mesh refinement algorithms on parallel computers to simulate global mantle flow by incorporating plate motions,… (More)

- Carsten Burstedde, Omar Ghattas, +5 authors Shijie Zhong
- SC
- 2008

Mantle convection is the principal control on the thermal and geological evolution of the Earth. Mantle convection modeling involves solution of the mass, momentum, and energy equations for a viscous, creeping, incompressible non-Newtonian fluid at high Rayleigh and Peclet numbers. Our goal is to conduct global mantle convection simulations that can resolve… (More)

[1] Fundamental issues in our understanding of plate and mantle dynamics remain unresolved, including the rheology and state of stress of plates and slabs; the coupling between plates, slabs and mantle; and the flow around slabs. To address these questions, models of global mantle flow with plates are computed using adaptive finite elements, and compared to… (More)

- Lucas C. Wilcox, Georg Stadler, Carsten Burstedde, Omar Ghattas
- J. Comput. Physics
- 2010

We introduce a high-order discontinuous Galerkin (dG) scheme for the numerical solution of three-dimensional (3D) wave propagation problems in coupled elastic-acoustic media. A velocity-strain formulation is used, which allows for the solution of the acoustic and elastic wave equations within the same unified framework. Careful attention is directed at the… (More)

- Carsten Burstedde, Georg Stadler, +4 authors Omar Ghattas
- 2013

Carsten Burstedde,1,2 Georg Stadler,1 Laura Alisic,3,4 Lucas C. Wilcox,1,5 Eh Tan,6,7 Michael Gurnis3 and Omar Ghattas1,8,9 1Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, Austin, TX, USA. E-mail: burstedde@ins.uni-bonn.de 2Institut fur Numerische Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn,… (More)

- Carsten Burstedde, Omar Ghattas, +4 authors Lucas C. Wilcox
- SC
- 2010

Many problems are characterized by dynamics occurring on a wide range of length and time scales. One approach to overcoming the tyranny of scales is adaptive mesh refinement/coarsening (AMR), which dynamically adapts the mesh to resolve features of interest. However, the benefits of AMR are difficult to achieve in practice, particularly on the petascale… (More)

- Wolfgang Bangerth, Carsten Burstedde, Timo Heister, Martin Kronbichler
- ACM Trans. Math. Softw.
- 2011

Today's largest supercomputers have 100,000s of processor cores and offer the potential to solve partial differential equations discretized by billions of unknowns. However, the complexity of scaling to such large machines and problem sizes has so far prevented the emergence of generic software libraries that support such computations, although these would… (More)