We prove convergence for a meshfree first-order system least squares (FOSLS) partition of unity finite element method (PUFEM). Essentially, by virtue of the partition of unity, local approximation gives rise to global approximation in H(div) ∩ H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial...

The DC characteristics of CNFETs are reasonably well understood, although optimization of devices is still being actively pursued, notwithstanding difficulties in large-scale fabrication. Although the subject of promising experiments [2,3], the frequency-dependent performance has yet to be studied thoroughly in theory, and this work takes a step in that direction. We seek to describe a small-si...

in his recognition of being and achievement of truth, man has two instruments in his constitution and two ways before him: intellect and heart; reasoning and intuition. some have opted the way of reasoning and underestimated intuition because of its lack of reasoning, and some have preferred intuition over reasoning because of its being presential (intuitive). with their research on philosophy ...

We determine the periodic cyclic homology of the Iwahori-Hecke algebras Hq, for q ∈ C∗ not a “proper root of unity.” (In this paper, by a proper root of unity we shall mean a root of unity other than 1.) Our method is based on a general result on periodic cyclic homology, which states that a “weakly spectrum preserving” morphism of finite type algebras induces an isomorphism in periodic cyclic ...

in this research, the methodology of which is descriptive-inferential, our problem is the role of the unity of divine acts in mulla sadra’s transcendent philosophy and the evaluation of his arguments on it. in this regard, after explaining the concept of “unity of divine acts”, we show that since the boundaries of sadra’s philosophical system approaches speculative mysticism, sadra’s system in ...

The TRUTH of our existence has not been detected by science so far. Why does theoretical physics know nothing about the essence of space, matter, energy and time? How can we come to the true knowledge about our existence? Let us look at the reason of critical situation in contemporary theoretical physics and show how critical logical thinking and reasoning can open the door to the truth. I am s...