The well-known Tarski’s fixed point theorem asserts that an increasing mapping from an n-dimensional box to itself has a fixed point. In this paper, a constructive proof of this theorem is obtained from an application of the (n+1)-ray arbitrary starting simplicial algorithm. The algorithm assigns an integer label to each point of the box and employs a triangulation to subdivide the box into sim...

Broadie and Glasserman proposed a simulation-based method they named stochastic mesh for pricing highdimensional American options. Based on simulated states of the assets underlying the option at each exercise opportunity, the method produces an estimator of the option value at each sampled state. Under the mild assumption of the finiteness of certain moments, we derive an asymptotic upper boun...

We introduce a new Petrov-Galerkin multiscale method for the numerical approximation of the Helmholtz equation with large wave number κ in bounded domains in R. The discrete trial and test spaces are generated from standard mesh-based finite elements by local subscale correction in the spirit of numerical homogenization. The precomputation of the correction involves the solution of coercive cel...

in this paper, the role of molecular diffusion in mobilization of waterflood residual oil is examined. a moving mesh method is applied to solve the moving interface problem of residual oil blobs swelling by co2 diffusion through a blocking water phase. the results of this modeling are compared with experimental results of a 2d glass micromodel experiment. although, the solution method is applie...

Microbial electrolysis cells (MECs) provide a high-yield method for producing hydrogen from renewable biomass. One challenge for commercialization of the technology is a lowcost and highly efficient cathode. Stainless steel (SS) is very inexpensive, and cathodes made of this material with high specific surface areas can achieve performance similar to carbon cathodes containing a platinum cataly...

We report circular dichroism measurements on the helix-coil transition of poly(L-glutamic acid) in solution with polyethylene glycol (PEG) as a crowding agent. The PEG solutions have been characterized by small angle neutron scattering and are well described by the picture of a network of mesh size ξ, usual for semi-dilute chains in good solvent. We show that the increase of PEG concentration s...

This paper presents a fast and efficient contiguous allocation strategy for 3D mesh multicomputers, referred to as Turning Busy List (TBL for short), which can identify a free sub-mesh of the requested size as long as it exists in the mesh system. Turning means that the orientation of the allocation request is changed when no sub-mesh is available in the requested orientation. The TBL strategy ...

OBJECTIVE The aim of this study was to find a proper experimental design and to evaluate n-butyl-2-cyanoacrylate (Histoacryl) as a fixation method for a light-weight and large pore PP mesh (Synthetic PP Mesh-1) using the sheep as an animal model. METHODS Posterior vaginal implantation by means of episiotomy was used to implant 8 ewes which were evaluated macroscopically and histologically at ...

When designing a lowpass filter to eliminate noise in a triangle mesh, the cutoff frequency is typically chosen by a cumbersome trial-and-error process. Therefore, it is important to provide a guideline in selecting filter frequencies. Here, we explore the relation between the frequencies in a mesh filter and the geometric measures of user-selected features. In addition, by combining previously...

An outdoor earth science museum exhibit was designed for the Exploration Station in Grover Beach, California, and will use the harvesting methods of fog as a clean water resource to educate children. The design of the exhibit has two parts: a 1 m x 1 m static Standard Fog collector for long term fog collection which rises 2 m off the ground, and a mobile six-panel display consisting of six diff...