In this paper, we present uniform convergence results for the mortar finite element method (which is an example of a non-conforming method), for h, p and hp discretizations over general meshes. Our numerical and theoretical results show that the mortar finite element method is a good candidate for hp implementation and also that the optimal rates afforded by the conforming h, p and hp discretiz...

In this paper, we introduce and analyze a special mortar finite element method. We restrict ourselves to the case of two disjoint subdomains, and use RaviartThomas finite elements in one subdomain and conforming finite elements in the other. In particular, this might be interesting for the coupling of different models and materials. Because of the different role of Dirichlet and Neumann boundar...

Most of the world’s water is saline and is contained in the oceans. Only about 2% of it is fresh of which 97% is tied up in the polar caps in the form of permanent snow and in deep depths below the ground. Scarcity of potable water for the construction is the main reason to look for alternate source of water. Industrial waste water is potential alternate for construction industry. Recycling and...

Mortar samples were saturated with NaCl solutions of various concentrations and subjected to freeze– thaw cycles. Passive and active acoustic emission (AE) testing was conducted. The freezing temperature of the NaCl solutions in mortar corresponded with the sudden observation of passive AE events. The acoustic energy and damage parameter were calculated to evaluate the extent of freeze–thaw dam...

A multiblock mortar approach to modeling multiphase ow in porous media decomposes the simulation domain into a series of blocks with possibly di erent physical and numerical models employed in each block. Matching conditions along the interfaces are imposed through the use of mortar nite elements. A parallel domain decomposition algorithm reduces the algebraic nonlinear system to an interface p...

We consider a heat transfer problem with sliding bodies, where heat is generated on the interface due to friction. Neglecting the mechanical part, we assume that the pressure on the contact interface is a known function. Using mortar techniques with Lagrange multipliers, we show existence and uniqueness of the solution in the continuous setting. Moreover, two different mortar formulations are a...

Non-contact air-coupled technique has been applied to measure ultrasonic velocities in two planar samples, Plexiglas and mortar. Longitudinal waves and mode-converted shear velocities were obtained by three approaches. The obtained velocities were compared with that measured by contact method. The results demonstrate that non-contact air-coupled technique has great potential for the comparative...

Received Apr 3, 2012 Revised May 19, 2012 Accepted June 4, 2012 The research assessed and examined the mechanical properties of the Soil Cement Interlocking brick (SCI) to provide the information for the possible and appropriate development and revision of the (SCI) brick due to the substantial benefits which can be obtained by improving these sorts of bricks .Therefore, drastic efforts and acc...

FETI-DP methods were introduced in [8]. They form a class of fast and efficient 13 iterative solvers for algebraic systems of equations arising from the finite element 14 discretizations of elliptic partial differential equations of second and fourth order, 15 cf. [8, 10, 11, 16] and references therein. In a one-level FETI-DP method one has 16 to solve a linear system for a set of dual variable...

In this research, the authors assess the applicability of the SERVCON model to the e-commerce (e-service) environment in the context of student textbook purchases. Following a literature review, a survey was developed based on previous scales; items were modified to fit the e-commerce environment. The survey was administered to college students in business courses, and 281 usable responses were...