The quality of mesh elements including shape and size influences the performance of finite elements analysis, interpolation, and contouring. The existence of small angles is especially critical for conditioning of the stiffness matrix in finite elements methods. In this paper we present a boundary graded triangular mesh generation algorithm that allows for guaranteed bounds on angles. Our proof...

We assemble triangular patches of total degree at most eight to form a curvature continuous surface. The construction illustrates how separation of local shape from representation and formal continuity yields an effective construction paradigm in partly underconstrained scenarios. The approach localizes the technical challenges and applies the spline approach, i.e. keeping the degree fixed but ...

Applications of mesh adaption techniques could be found in the numerical solution of PDE’s or in the optimal triangulation of surfaces for shape representation or graphic display. The scope of this work is to verify through numerical experiments the effectiveness of some algorithms for the control of the L∞ error norm for piece–wise linear approximation on 2D unstructured triangular meshes. The...

Consider a rowwise independent triangular array of gamma random variables with varying parameters. Under several different conditions on the shape parameter, we show that the sequence of row-maximums converges weakly after linear or power transformation. Depending on the parameter combinations, we obtain both Gumbel and non-Gumbel limits. The weak limits for maximum of the coordinates of certai...

– The achene morphology of 20 taxa in five sections of Polygonum s.l. from Thailand was studied and compared in detail using stereoscopic light and scanning electron microscopy. The achene of all Thai taxa is typically lenticular or triangular in shape. Three different morphological types are described according to the features of the achene surface; smooth-undulate, a star-like form and reticu...

We investigate non-equilibrium particle transport in the system consisting of a geometric scatterer and two leads coupled to heat baths with different chemical potentials. We derive expression for the corresponding current the carriers of which are fermions and analyze numerically its dependence of the model parameters in examples, where the scatterer has a rectangular or triangular shape. PACS...

A 19 channel d.c. SQUID magnetometer for biomagnetic research is under construction. The system needs compactly built control and detection electronics and to facilitate the test an electronic circuit simulating the typical periodic characteristics of a SQUID was developed. In total nine steps of triangular shape were implemented with a step voltage reference generator and precision full-wave r...

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.

Multiclass data visualizations allow viewers to compare one dataset to another. The visual marks that represent these datasets, or classes, are visually distinguished from one another by easily perceived visual feature differences, such as color or shape. A designer of a graph or map might encode one class of marks as either red, or circular, and another class as either blue, or triangular. One...

jahanshahloo has suggested a method for the solving linear programming problems with zero-one variables‎. ‎in this paper we formulate fully fuzzy linear programming problems with zero-one variables and a method for solving these problems is presented using the ranking function and also the branch and bound method along with an example is presented.