We consider an interior penalty discontinuous approximation for symmetric elliptic problems of second order on non-matching grids in this paper. The main result is an almost optimal error estimate for the interior penalty approximation of the original problem based on the partition of the domain into a finite number of subdomains. Further, an error analysis for the finite element approximation of the penalty formulation is given. Finally, numerical experiments on a series of model second order problems are presented.

Daily newspaper from Altus, Oklahoma that includes local, state, and national news along with advertising.

Weekly newspaper from Alvin, Texas that includes local, state, and national news along with advertising.

Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.

Photograph of the Bricktown Ballpark Wall Mural.

Photograph of the Johnny Bench statue in front of the Bricktown Ballpark.

Photograph of the Bricktown Ballpark Wall Mural.

Photograph of the Johnny Bench statue in front of the Bricktown Ballpark.

Photograph of the Bricktown Ballpark Wall Mural.

Photograph of the Johnny Bench statue in front of the Bricktown Ballpark.

Photograph of the Johnny Bench statue in front of the Bricktown Ballpark.

Photograph of the Bricktown Ballpark Wall Mural.

Photograph of the Bricktown Ballpark Wall Mural.

Photograph of the Bricktown Ballpark Wall Mural.

Photograph of the Johnny Bench statue in front of the Bricktown Ballpark.

Photograph of the Bricktown Ballpark Wall Mural.

Photograph of the Bricktown Ballpark Wall Mural.

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Semi-weekly newspaper from Clifton, Texas that includes local, state, and national news along with advertising.

Daily newspaper from Perry, Oklahoma that includes local, state, and national news along with advertising.

A letter report issued by the General Accounting Office with an abstract that begins "The Department of Defense (DOD) budgets billions of dollars each year to purchase and repair the spare parts needed to maintain its weapons systems and support equipment. The quality of the spare parts can greatly determine if the Department's investment of funds is effective, efficient, and economical. This report examines the Navy's Product Quality Deficiency Reporting Program and the extent to which the program has gathered the data needed for the analysis, correction, and prevention of deficiencies in spare parts. GAO found that data on parts defects identified at the time of installation were underreported. Data on parts that failed after some operation but before their expected design life were not collected as part of this program. In the quality reports GAO reviewed, some key information was omitted on the cause of the parts' failures and some reports did not identify who was responsible for the defects. To a large extent, the program's ineffectiveness can be attributed to lack of management, limited training and incentives to report deficiencies, and competing priorities for the staff resources needed to carry out the program."

Knowledge of an effective interatomic potential function underlies any effort to predict or rationalize the properties of solids and liquids. The experiments we undertake are directed towards determination of equilibrium and dynamic properties of simple fluids at densities sufficiently high that traditional computational methods and semi-empirical forms successful at ambient conditions may require reconsideration. In this paper we present high-pressure and temperature experimental sound speed data on a simple fluid, methanol. Impulsive Stimulated Light Scattering (ISLS) conducted on diamond-anvil cell (DAC) encapsulated samples offers an experimental approach to determine cross-pair potential interactions through equation of state determinations. In addition the kinetics of structural relaxation in fluids can be studied. We compare our experimental results with our thermochemical computational model Cheetah. Computational models are systematically improved with each addition of experimental data.

Microcantilevers are key components of many Micro-Electro-Mechanical Systems (MEMS) and Micro-Optical-Electro-Mechanical Systems (MOEMS) because slight changes to them physically or chemically lead to changes in mechanical characteristics. An inexpensive dual-fiberoptic microcantilever proximity sensor and model to predict its performance are reported here. Motion of a magnetic-material-coated cantilever is the basis of a system under development for measuring magnetic fields. The dual fiber proximity sensor will be used to monitor the motion of the cantilever. The specific goal is to sense induction fields produced by a current carrying conductor. The proximity sensor consists of two fibers side by side with claddings in contact. The fiber core diameter, 50 microns, and cladding thickness, 10 microns, are as small as routinely available commercially with the exception of single mode fiber. Light is launched into one fiber from a light-emitting diode (LED). It emerges from that fiber and reflects from the cantilever into the adjacent receiving fiber connected to a detector. The sensing end is cast molded with a diameter of 3-mm over the last 20-mm, yielding a low profile sensor. This reflective triangulation approach is probably the oldest and simplest fiber proximity sensing approach, yet the novelty here is in demonstrating high sensitivity …

Both ErbB1 and ErbB2 are overexpressed or amplified in breast tumors. To examine the effects of activating ErbB receptors in a context that mimics polarized epithelial cells in vivo, we activated ErbB1 and ErbB2 homodimers in preformed, growth-arrested mammary acini cultured in three-dimensional basement membrane gels. Activation of ErbB2, but not that of ErbB1, led to a reinitiation of cell proliferation and altered the properties of mammary acinar structures. These altered structures share several properties with early-stage tumors, including a loss of proliferative suppression, an absence of lumen, retention of the basement membrane and a lack of invasive properties. ErbB2 activation also disrupted tight junctions and the cell polarity of polarized epithelia, whereas ErbB1 activation did not have any effect. Our results indicate that ErbB receptors differ in their ability to induce early stages of mammary carcinogenesis in vitro and this three-dimensional model system can reveal biological activities of oncogenes that cannot be examined in vitro in standard transformation assays.