Abstract. This paper studies L2 norm error estimates for the div least-squares method for which the associated homogeneous least-squares functional is equivalent to the H(div) × H1 norm for the respective dual and primal variables. Least-squares of this type for the second-order elliptic equations, elasticity, and the Stokes equations are an active area of research, and error estimates in the H...

We consider computation trees (CTs) with operations $S \subset {+,-, *, DIV, DIV_c}$, where $DIV$ denotes integer division and $DIV_c$ integer division by constants. We characterize the families of languages $L \subset N$ that can be recognized over ${+,-, DIV_c}$ and ${+,-, *, DIV}$, resp. and show that they are identical. Furthermore, we prove lower bounds for CT's with operations ${+,-, DIV_...

We propose, analyze and test a new adaptive penalty scheme that picks the parameter $$\epsilon $$ element by small where $$\nabla \cdot u^h$$ is large. start analyzing testing on most simple but interesting setting, Stokes problem. Finally, we extend algorithm incompressible Navier equation complex flow problems. Tests indicate adaptive- method predicts behavior accurately. The developed in als...

Abstrak<div> </div><div> Pengadaan koleksi adalah tahap awal memperoleh dengan berbagai metode. Mulai dari mengidentifikasi kebutuhan dan mempertimbangkan permintaan yang diajukan oleh pemustaka, sampai ke pengambil keputusan atas pengadaan tersebut. Setelah itu berlanjut pengolahan kegiatan administrasi agar dapat dipergunakan kembali pemustaka. Penelitian ini dilaksanakan tu...

In 1999, the Broward County Health Department and local community faith-based organizations collaborated to develop Churches United to Stop HIV (CUSH). CUSH has provided HIV prevention services to over 32,000 people, trained over 2,850 faith leaders, conducted over 1,000 risk assessments and provided HIV counseling and testing for over 825 people and technical assistance for 48 churches, includ...

career days; and science projects undertaken with Scout troops. Churches that received grants from the competition varied in denomination, geographical region, and the size of the communityserved. Among the cities represented are Baltimore, Chicago, Detroit, Houston, New Orleans, New York, Philadelphia, and Washington, D.C. Churches in smaller towns in several states also received grants; eight...

[The discussions between Joseph Ratzinger and Walter Kasper on the relationship between the universal Church and the local/ particular churches touch on one of today’s major theological and pastoral issues. If the universal Church is ontologically and temporally prior to the local church, then how is the local church fully Church, and how are bishops truly vicars of Christ and not simply delega...

AIMS This study examined the prevalence of alcohol ads, the spatial relationship between alcohol ads and schools, churches and playgrounds, and area-level determinants of alcohol ad density in Central Harlem, New York City. METHODS Alcohol advertising was quantified using street observation. Data on city demographics and infrastructure were obtained from the census and municipal databases. ...