This paper examines the effect of curved boundary continuity on finite element simulations. Quartic C0 continuous and G1 continuous meshes with curved boundaries are created from CAD geometry. These C0 continuous and G1 continuous surface triangles are constructed using Bézier triangles and triangular Gregory patches respectively. Curved tetrahedra are constructed using a shape blending with te...

In the title mercury complex, catena-poly[[di-chlorido-mercury(II)]-μ-2,2'-(2-bromo-5-tert-butyl-1,3-phenyl-ene)bis-(1-methyl-1H-benzimidazole)-κ2N3:N3'], [HgCl2(C26H25BrN4)] n , the HgII atom is coordinated by two Cl atoms and by two N atoms from two 2,2'-(2-bromo-5-tert-butyl-1,3-phenyl-ene)bis-(1-methyl-1H-benzimidazole) ligands. The metal cation adopts a distorted tetrahedral coordination g...

Historically, hexahedral finite element mesh generation has required significant geometric decomposition with the resulting consequence that generating hexahedral meshes can be extremely difficult to perform and automate and the process often takes several orders of magnitude longer in time to complete than current methods for generating tetrahedral meshes. In this work, we present methods for ...

We have developed a twoand three-dimensional simulation tool for a coupled electro-thermal analysis of VLSI interconnect lines, which uses the finite element method to solve Laplace's equation and the heat conduction equation. Thereby, triangular and tetrahedral grid elements with linear and quadratic shape functions are used. Two preprocessors allow a layer-based input of the simulation geomet...

Cu (II) and Ni (II) complexes of general composition [ML2]X2 (M = Cu(II), Ni(II); X = Cl, NO3) were synthesized by the condensation of metal salts with semicarbazone / thiosemicarbazone derived from pdimethylaminobanzaldehyde. The metal complexes were characterized by elemental analysis, molar conductance, magnetic susceptibility measurements, IR and atomic absorption spectral studies. On the b...

Abstract In this paper we explain the fractal geometry of refined and derefined triangular and tetrahedral meshes by means of the application of iterated function systems (IFS). These meshes feature a remarkable amplifying invariance under changes of scale. The applications of IFS families are shown equivalent to the use of adaptive strategies that combine the refinement procedure with the dere...

A new method for the colorimetric characterization of a printer is proposed. It can also be applied to any other type of digital image reproduction device. The method is based on a computational geometry approach. It uses a 3D triangulation technique to build a tetrahedral partition of the printer color gamut volume and it generates a surrounding structure enclosing the definition domain. The c...

Fenestranes are an intriguing class of highly strained molecules possessing a quaternary carbon with bonds that deviate from the canonical tetrahedral geometry. Herein we report the discovery that the natural product pleuromutilin can be used as a structurally complex starting material for the synthesis of a series of bridged cis,cis,cis,cis-[4.5.5.5]- and cis,cis,cis,cis-[4.5.7.5]oxafenestrane...

I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrices, height-function matrices, threecolorings, monotone triangles, tetrahedral order ideals, square ice, gasketand-basket tilings and full packings of loops. (This article has been published in a conference edition of t...

A new class of porphyrin array was synthesized. The Cu(II) porphyrin-PAMAM-Cu(II) porphyrin was obtained in good yields. The EPR studies showed that all porphyrins obtained have signals of a copper complex with planar geometry, and no variation in the tetrahedral distortion of the porphyrin ring was observed. The UV-vis and emission studies showed that the intensity of the signal increased due ...