Papers – Page 20 – TechConnect Briefs

Using Pseudo Transient Continuation and the Finite Element Method to Solve the Nonlinear Poisson-Boltzmann Equation

Shestakov A.I., Milovich J.L., Noy A., Lawrence Livermore National Laboratory, US

The nonlinear Poisson-Boltzmann (PB) eequation is solved using Pseudo Transient Continuation. The PB solver is constructed by modifying the nonlinear diffusion modeule of a 3D, massively parallel, unstructured grid, finite element, radiation-hydrodynamics code. The solver [...]

Using Scalar Algebraic Multigrid Solvers for Efficient 3-D Stress Analysis of Microfabricated Structures

Mijalkovic S., Delft University of Technology, NL

A methodology to improve the performance of iterative solvers in 3-D stress analysis using scalar algebraic multigrid (AMG) solvers has been presented. The principle idea is to split the global system of coupled stress governing [...]

New Numerical Techniques and Tools in SUGAR for 3D MEMS Simulation

Bai Z., Bindel D., Clark J., Demmel J., Pister K., Zhou N., University of California Davis, US

SUGAR is a modified nodal analysis package for 3D MEMS simulations that owes its heritage and its name to the SPICE family of circuit simulation. SUGAR has undergone the stage of proof-of-concept which showed that [...]

Automatic Generation of Small-Signal Dynamic Macromodels from 3-D Simulation

Ramaswamy D., White J.K., Massachusetts Institute of Technology, US

Recent algorithmic developments have greatly accelerated 3-D simulation of micromachined devices, but simulation and optimization of systems which use those devices require much more easily evaluated, yet still accurate, macromodels. In this paper we focus [...]

Efficient Poisson Equation Solvers for Large Scale 3D Simulations

Speyer G., Vasileska D., Goodnick S.M., Arizona State University, US

Self-consistent semiconductor device modeling requires repeated solution of the 2D or 3D Poisson equation that describes the potential profile of the device for a given charge distribution. As a result, efficient methods for the solution [...]

Fast Fluid Analysis for Multibody Micromachined Devices

Wang X., Mucha P., White J.K., Massachusetts Institute of Technology, US

Recently developed fast integral equation methods for computing solutions to the Stokes' equation have proven to be a valuable tool for micro-machined device designers. The speed of these fast codes make it possible to simulate [...]

Moment-based Analysis of Mechanical Effects on Trench-Hall Devices

Taschini S., Korvink J.G., Baltes H., ETH Zürich, CH

This paper presents a novel method for the assessment of mechanical effects on trench-Hall devices based on a moment expansion combined with two-dimensional finite-element discretization. Analogously to plate theories, a truncated moment expansion of the [...]

Variance Reduction in Monte Carlo Device Simulation by Means of Event Biasing

Kosina H., Nedjalkov M., Selberherr S., Technical University of Vienna, AT

A theoretical analysis of the Monte Carlo (MC) method for the solution of the stationary boundary value problem defined by the Boltzmann equation is briefly outlined. This analysis clearly shows how event biasing can be [...]

Modeling of Ionic Hydrogel Kinetics in Buffered Solutions

Ohs R.R., De S.K., Aluru N.R., University of Illinois at Urbana-Champaign, US

In this paper, we present the meshless Finite Cloud Method (FCM) for the solution of a time-dependent partial differential equation governing ionic gel swelling. Using a point distribution, FCM constructs interpolation functions without assuming any [...]

Multiscale Modeling of Microfluidics

Karniadakis G., Brown University, US

Micro-electro-mechanical systems involve complex functions governed by diverse transient physical and electrical processes for each of their many components. This is an example of a coupled-domain simulation, i.e., the simultaneous simulation of different functional units [...]