This paper provides a new implementation of a multiscale mortar mixed finite element method for second order elliptic problems. The algorithm uses non-overlapping domain decomposition to reformulate a fine scale problem as a coarse scale mortar interface problem, which is then solved using an iterative method. The original implementation by Arbogast, Pencheva, Wheeler, and Yotov, Multiscale Mod...

We consider a fully-implicit formulation for two-phase flow in a porous medium with capillarity, gravity, and compressibility in three dimensions. The method is implicit in time and uses the multiscale mortar mixed finite element method for spatial discretization in a non-overlapping domain decomposition context. The interface conditions between subdomains are enforced in terms of Lagrange mult...

The café wall pattern is composed of rows of alternating light and dark tiles, and alternate rows are shifted by one fourth of a cycle. The rows of tiles are separated by narrow horizontal mortar lines whose luminance is between those of the dark and the light tiles. Although the mortar lines are physically parallel, they are perceived to be tilted, which is known as the café wall illusion. In ...

Brick and Mortar Chip Fabrication Martha Allen Kim Chair of the Supervisory Committee: Professor Mark Oskin Computer Science and Engineering While Moore’s Law has advanced the semiconductor and technology industries, it has simultaneously driven up the cost of engineering a chip in a modern silicon process. The result is that fewer and fewer chips are produced in larger and larger volumes, stif...

In this paper, we develop a multiscale mortar multipoint flux mixed finite element method for second order elliptic problems. The equations in the coarse elements (or subdomains) are discretized on a fine grid scale by a multipoint flux mixed finite element method that reduces to cell-centered finite differences on irregular grids. The subdomain grids do not have to match across the interfaces....

We consider elliptic problems with discontinuous coefficients discretized by FEM on non-matching triangulations across the interface using the mortar technique. The resulting discrete problem is solved by a FETI–DP method using a preconditioner with special scaling described in Dokeva, Dryja and Proskurowski [to appear]. Experiments performed on hundreds of processors show that this FETI–DP mor...

The use of cementitious products isincreasing in the world,Thusreplacement part of cement with pozzolanic materials reduced energy consumption and preserve natural resources and the environment and also improve the mechanical properties and durability of the cement mortar.Furthermore Nano technology has promptedto tremendous developments in technology of building materials in recent yearsso use...