We present FoamGrid, a new implementation of the Dune grid interface. FoamGrid implements oneand two-dimensional grids in a physical space of arbitrary dimension, which allows for grids for curved domains. Even more, the grids are not expected to have a manifold structure, i.e., more than two elements can share a common facet. This makes FoamGrid the grid data structure of choice for simulating...

The fast adaptive composite grid (FAC) method is an iterative method for solving discrete boundary value problems on composite grids. McCormick introduced the method in [10J and considered the convergence behaviour for discrete problems resulting from finite volume element discretiza-tion on composite grids. In this paper we consider discrete problems resulting from finite difference discretiza...

3D image registration is a computationally extensive problem which is commonly solved in medical imaging. The complexity of the problem stems from its size and non-linearity. In this paper we present an approach that drastically reduces the problem size by using adaptive mesh refinement. Our approach requires special and careful discretization of the variational form on adaptive octree grids. I...

We will present an approach to numerical simulation on recursively structured adaptive discretisation grids. The respective grid generation process is based on recursive bisection of triangles along marked edges. The resulting refinement tree is sequentialised according to a Sierpinski space-filling curve, which leads to both minimal memory requirements and inherently cache-efficient processing...

Adaptive methods for solving systems of partial diierential equations have become widespread. Much of the eeort has focused on nite element methods. In this paper modiied nite diierence approximations are obtained for grids with irregular nodes. The modiications are required to ensure consistency and stability. Asymptotically exact a posteriori error estimates of the spatial error are presented...

The complexity of physical phenomena often varies substantially over space and time. There can be regions where a physical phenomenon/quantity varies very little over a large extent. At the same time, there can be small regions where the same quantity exhibits highly complex variations. Adaptive mesh refinement (AMR) is a technique used in computational fluid dynamics (CFD) to simulate phenomen...

In this work, we develop a robust adaptive well-balanced and positivity-preserving central-upwind scheme on unstructured triangular grids for shallow water equations. The numerical method is an extension of the from [{\sc Liu {\em et al.}},J. Comp. Phys, 374 (2018), pp. 213 - 236]. As part algorithm, obtain local posteriori error estimator efficient mesh refinement strategy. accuracy, high-reso...

Distributed and heterogeneous environments present significant challenges to complex software systems, which must operate in the context of continuously changing loads, with partial or out-of-date information on resource capabilities. A distributed query processor (DQP) can be used to access and integrate data from distributed sources, as well as for combining data access with data analysis. Ho...