p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
By Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas. SIAM Journal on Scientific Computing, 2011
795 citations recorded by the source corpus.
Subfields: Computer Graphics and Computer-Aided Design, Computer Networks and Communications
View Paper: https://www.semanticscholar.org/paper/af9b9c7707e30d86f0572406057c32c2f92ec7d3
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In Computer Graphics and Computer-Aided Design
- Frédéric Gibou
- Ronald Fedkiw
- Stanley J. Osher
- Thomas J. R. Hughes
- Dominik Schillinger
- Michael A. Scott
- John A. Evans
- Alessandro Reali
In Computer Networks and Communications
Citations in the corpus
- An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces (2012, methodology): “For their efficient implementation, binary, quad- and octrees are usually employed in one, two and three dimensions, respectively [41, 42, 84].”
- Isogeometric Collocation: Cost Comparison with Galerkin Methods and Extension to Adaptive Hierarchical NURBS Discretizations (2013, background): “Efficient implementation of hierarchical refinement A considerable advantage of hierarchical refinement in the present form is its straightforward and efficient implementation through quadtrees and octrees [75], which provide a natural way to decompose and organize spatial data according to differen”
- A review of level-set methods and some recent applications (2018, methodology): “[95] for the partitioning of the grid, combined with a suite of algorithms that constructs local trees to each processor, which then enable the discretizations discussed in sections 4.”
- A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion (2013, positive): “For the parallel mesh generation and its distributed storage, we use fast forest-of-octree algorithms for scalable adaptive mesh refinement from the p4est library [12, 13].”
- The deal.II Library, Version 9.5 (2023, neutral): “…[25] – cuSPARSE [26] – Gmsh [33] – GSL [31, 36] – Ginkgo [6, 7] – HDF5 [71] – METIS [45] – MUMPS [4, 3] – muparser [60] – OpenCASCADE [61] – p4est [22, 21] – PETSc [11, 12] – ROL [66] – ScaLAPACK [17] – SLEPc [40] – SUNDIALS [42] – SymEngine [69] – TBB [65] – Trilinos [41, 72] – UMFPACK [27]…”
- Double-phase-field formulation for mixed-mode fracture in rocks (2020, background): “II finite element library [54, 55], p4est mesh handling library [56], and the Trilinos project [57].”