We devise and implement quasi-Monte Carlo methods for computing the expectations of nonlinear functionals of random fields arising in the modeling of fluid flow in random porous media. Specific examples include the effective permeability of a block of rock, the pressure head at a chosen point and the breakthrough time of a pollution plume being convected by the velocity field. The mathematical ...

One of the main distinctions between geomaterials and other engineering materials is the spatial variation of their properties in different directions. This characteristic of geomaterials -so called heterogeneity- is studied herewith. Several spatial distributions are introduced to describe probabilistic variation of geotechnical properties of soils. Among all, the absolute normal distribution ...

Random walk arguments and exact numerical computations are used to study one-dimensional random field chains. The ground state structure is described with absorbing and non-absorbing random walk excursions. At low temperatures, the local magnetization follows the ground state except at regions where a local random field fluctuation makes thermal excitations easier. This is explained by the rand...

This paper outlines an FPGA VLSI design methodology that was used to realize a fully functioning FPGA chip in 130nm CMOS with improved routability and memory robustness. The architectural design space exploration and synthesis capability were enabled by the Verilog-to-Routing CAD tool. The capabilities of this tool were extended to enable bitstream generation and deployment. To validate the arc...