Abstract. In this paper, we propose to use the tailored-finite-point method (TFPM) for a type of steady-state reaction-diffusion problems in two dimensions. Three tailored finite point schemes are constructed for the given problem. Our finite point method has been tailored to some particular properties of the problem. Therefore, our TFPM satisfies the discrete maximum principle automatically. W...

This work proposes a tailored finite point method (TFPM) for the numerical solution of an anisotropic diffusion problem, which has much smaller diffusion coefficient along one direction than the other on a rectangle domain. The paper includes analysis on the differentiability of the solution to the given problem under some compatibility conditions. It has detailed derivation for a semi-discrete...

The higher specific torque and power density of a transverse flux permanent magnet (TFPM) machine in comparison to a conventional machine makes it a promising direct-driven wind turbine generator. The new topology presented in this paper is believed to have a better utilization of the available in the nacelle space. This would favor a reduced inactive weight of the generator and thus remove one...

Modern energy demands led the scientific community to renewable energy sources, such as ocean wave energy. The present work describes a model for a cost efficient rotary electrical generator, optimized for ocean wave energy conversion. The electrical power, supplied by low speed mechanical movement, requires the use of electrical machinery capable of generating high amounts of torque. Among the...

This study reports a new phenomenon whereby the ionic content of random ionomer was increased by introduction hydrophobic modifier. In current study, synthesized from solution polymerization three vinyl monomers, which are polar monomers acrylonitrile (AN), glycidyl methacrylate (GMA), and monomer potassium 3-sulfopropyl (SPM), encountered an early phase separation problem when exceeded certain...

In this paper we consider an anisotropic convection-diffusion (ACD) filter for image denoising and compression simultaneously. The ACD filter is discretized by a tailored finite point method (TFPM), which can tailor some particular properties of the image in an irregular grid structure. A quadtree structure is implemented for the storage in multi-levels for the compression. We compare the perfo...

We present an enhanced version of a method to minimize the amount of permanent-magnet (PM) material required to create a certain flux linkage in the stator winding of a PM machine. The enhanced version obtains the distribution of the factor inside the PM; identifies the areas inside the PM volume where the orientation of magnetization may be modified, so as to further increase the amount of no-...