In this paper we give an enclosure for the solution of the biharmonic problem and also for its gradient and Laplacian in the L2-norm, respectively.

[Purpose] The present study assessed the effects of using an unstable inclined board on the active and passive ankle range of motion in patients with ankle stiffness. [Subjects] The study included 10 young female patients with ankle stiffness. [Methods] The patients were divided into the following two groups: a group that performed ankle dorsiflexion stretching exercises using a wooden inclined...

Numerical investigations are performed into the natural convection heat transfer characteristics within a wavy-wall enclosure filled with Cu-water nanofluid. In the paper, the bottom wall of the enclosure has a wavy geometry and is maintained at a constant high temperature, while the top wall is straight and is maintained at a constant low temperature. The left and right walls of the enclosure ...

Swarms of police drones, fleets of overhead delivery bots, and flocks of private security drones are set to multiply the complex interfaces between state, capital, and sense. This paper explores the military and economic enclosure of the atmosphere by drones. For centuries, capitalist enclosure has privatized and secured common spaces: territorializing new power relations into the soil. Enclosu...

Anechoic chambers are used for both emission and immunity testing but the ferrite tiles used to line the inside of the chamber are extremely expensive. This paper describes a method of reducing the number of tiles, whilst ensuring a reliable test environment. In this paper, the ray-tracing method for waves propagation is used for evaluation of the reflectivity level of an anechoic chamber, and ...

The paper presents a new enclosure method for initial value problems in systems of ordinary di erential equations. Like the common enclosure methods (eg Lohner's algorithm AWA), it is based on Taylor expansion. In contrast to them, however, it is an implicit method. The solution sets of nonlinear inequalities have to be enclosed by a Newton-like algorithm. As the presented examples show, the ne...

In this work, we are concerned with the reconstruction of the obstacles by the enclosure method using the farfield measurements in one step. To justify this, first we state the indicator function of the enclosure method linking directly the farfield pattern to the reflected solutions corresponding to the used complex geometrical optics solutions. Second, we use layer potential techniques to der...

In this paper we present CUDA kernels that compute an interval matrix product. Starting from a naive implementation we investigate possible speedups using commonly known techniques from standard matrix multiplication. We also evaluate the achieved speedup when our kernels are used to accelerate a variant of an existing algorithm that finds an enclosure for the solution of a linear system. Moreo...