Computing light masks in neutral atom lithography. - Carsten Burstedde; Jürgen Braun; Angela Kunoth (J. Comput. Phys., 2006)

Scalable adaptive mantle convection simulation on petascale supercomputers. - Carsten Burstedde; Omar Ghattas; Michael Gurnis; Georg Stadler; Eh Tan; Tiankai Tu; Lucas C. Wilcox; Shijie Zhong (SC, 2008)

A wavelet-based nested iteration-inexact conjugate gradient algorithm for adaptively solving elliptic PDEs. - Carsten Burstedde; Angela Kunoth (Numer. Algorithms, 2008)

Extreme-Scale AMR. - Carsten Burstedde; Omar Ghattas; Michael Gurnis; Tobin Isaac; Georg Stadler; Tim Warburton; Lucas C. Wilcox (SC, 2010)

A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. - Lucas C. Wilcox; Georg Stadler; Carsten Burstedde; Omar Ghattas (J. Comput. Phys., 2010)

p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees. - Carsten Burstedde; Lucas C. Wilcox; Omar Ghattas (SIAM J. Sci. Comput., 2011)

Algorithms and data structures for massively parallel generic adaptive finite element codes. - Wolfgang Bangerth; Carsten Burstedde; Timo Heister; Martin Kronbichler 002 (ACM Trans. Math. Softw., 2011)

Low-Cost Parallel Algorithms for 2: 1 Octree Balance. - Tobin Isaac; Carsten Burstedde; Omar Ghattas (IPDPS, 2012)

Extreme-scale UQ for Bayesian inverse problems governed by PDEs. - Tan Bui-Thanh; Carsten Burstedde; Omar Ghattas; James Martin; Georg Stadler; Lucas C. Wilcox (SC, 2012)

Parallel geometric-algebraic multigrid on unstructured forests of octrees. - Hari Sundar; George Biros; Carsten Burstedde; Johann Rudi; Omar Ghattas; Georg Stadler (SC, 2012)

A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion. - James Martin; Lucas C. Wilcox; Carsten Burstedde; Omar Ghattas (SIAM J. Sci. Comput., 2012)

ForestClaw: Hybrid forest-of-octrees AMR for hyperbolic conservation laws. - Carsten Burstedde; Donna A. Calhoun; Kyle T. Mandli; Andy R. Terrel (PARCO, 2013)

Morton curve segments produce no more than two distinct face-connected subdomains. - Carsten Burstedde (CoRR, 2015)

A tetrahedral space-filling curve for non-conforming adaptive meshes. - Carsten Burstedde; Johannes Holke (CoRR, 2015)

Recursive Algorithms for Distributed Forests of Octrees. - Tobin Isaac; Carsten Burstedde; Lucas C. Wilcox; Omar Ghattas (SIAM J. Sci. Comput., 2015)

Parallel level-set methods on adaptive tree-based grids. - Mohammad Mirzadeh; Arthur Guittet; Carsten Burstedde; Frédéric Gibou (J. Comput. Phys., 2016)

A Tetrahedral Space-Filling Curve for Nonconforming Adaptive Meshes. - Carsten Burstedde; Johannes Holke (SIAM J. Sci. Comput., 2016)

Enhancing speed and scalability of the ParFlow simulation code. - Carsten Burstedde; Jose A. Fonseca; Stefan Kollet (CoRR, 2017)

ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees. - Donna A. Calhoun; Carsten Burstedde (CoRR, 2017)

Coarse Mesh Partitioning for Tree-Based AMR. - Carsten Burstedde; Johannes Holke (SIAM J. Sci. Comput., 2017)

Distributed-Memory Forest-of-Octrees Raycasting. - Carsten Burstedde (CoRR, 2018)

On the Number of Face-Connected Components of Morton-Type Space-Filling Curves. - Carsten Burstedde; Johannes Holke; Tobin Isaac (Found. Comput. Math., 2019)

CPU Ray Tracing of Tree-Based Adaptive Mesh Refinement Data. - Feng Wang 013; Nathan Marshak; William Usher 001; Carsten Burstedde; Aaron Knoll; Timo Heister; Chris R. Johnson 001 (Comput. Graph. Forum, 2020)

Parallel Tree Algorithms for AMR and Non-Standard Data Access. - Carsten Burstedde (ACM Trans. Math. Softw., 2020)

Structured Adaptive Mesh Refinement Adaptations to Retain Performance Portability With Increasing Heterogeneity. - Anshu Dubey; Martin Berzins; Carsten Burstedde; Michael L. Norman; Didem Unat; Mohamed Wahib (Comput. Sci. Eng., 2021)

Direct numerical simulation of incompressible flows on parallel Octree grids. - Raphael Egan; Arthur Guittet; Fernando Temprano-Coleto; Tobin Isaac; François Peaudecerf; Julien R. Landel; Paolo Luzzatto-Fegiz; Carsten Burstedde; Frédéric Gibou (J. Comput. Phys., 2021)

An Optimized, Parallel Computation of the Ghost Layer for Adaptive Hybrid Forest Meshes. - Johannes Holke; David Knapp; Carsten Burstedde (SIAM J. Sci. Comput., 2021)

scda: A Minimal, Serial-Equivalent Format for Parallel I/O. - Tim Griesbach; Carsten Burstedde (CoRR, 2023)

Alternative Quadrant Representations with Morton Index and AVX2 Vectorization for AMR Algorithms within the p4est Software Library. - Mikhail Kirilin; Carsten Burstedde (IPDPS (Workshops), 2024)

A Fast Direct Solver for Elliptic PDEs on a Hierarchy of Adaptively Refined Quadtrees. - Damyn M. Chipman; Donna A. Calhoun; Carsten Burstedde (CoRR, 2024)

t8code - modular adaptive mesh refinement in the exascale era. - Johannes Holke; Johannes Markert; David Knapp; Lukas Dreyer; Sandro Elsweijer; Niklas Böing; Ioannis Lilikakis; Jakob Fussbroich; Tabea Leistikow; Florian Becker; Veli Uenlue; Ole Albers; et al. (J. Open Source Softw., 2025)

A new Dune grid for scalable dynamic adaptivity based on the p4est software library. - Carsten Burstedde; Mikhail Kirilin; Robert Klöfkorn (CoRR, 2025)