The present book provides an introduction to using space-filling curves (SFC) as tools in
scientific computing. Special focus is laid on the representation of SFC and on resulting …

We discuss the design decisions, design alternatives, and rationale behind the third
generation of Peano, a framework for dynamically adaptive Cartesian meshes derived from …

The systematic development of efficient algorithms has become a key technology for all
kinds of ambitious and innovative computer applications. With major parts of algorithmic …

In this article, we present Dendro, a suite of parallel algorithms for the discretization and
solution of partial differential equations (PDEs) involving second-order elliptic operators …

We present an approach to the numerical simulation of dynamically adaptive problems on
recursively structured adaptive triangular grids. The intended application is the simulation of …

We will present an approach to numerical simulation on recursively structured adaptive
discretisation grids. The respective grid generation process is based on recursive bisection …

Locally or adaptively refined meshes have been successfully applied to simulation
applications involving multi-scale phenomena in the geosciences. In particular, for situations …

We investigate a new storage format for unstructured sparse matrices based on the space-
filling Hilbert curve. Numerical tests with matrix-vector multiplication show the potential of the …

In this paper, we present a parallel multigrid PDE solver working on adaptive hierarchical
cartesian grids. The presentation is restricted to the linear elliptic operator of second order …

Abstract The Navier–Stokes equations (NS) and the Lattice–Boltzmann method (LBM) are
the main two types of models used in computational fluid dynamics yielding similar results …