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Publication
289views
12 years 10 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi

Publication
519views
12 years 10 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
CORR
2007
Springer
147views Education» more  CORR 2007»
14 years 13 days ago
Influence of Micro-Cantilever Geometry and Gap on Pull-in Voltage
In this paper, we study the behaviour of a microcantilever beam under electrostatic actuation using finite difference method. This problem has a lot of applications in MEMS based ...
W. Faris, H. Mohammed, M. M. Abdalla, C.-H. Ling
SBACPAD
2003
IEEE
138views Hardware» more  SBACPAD 2003»
14 years 5 months ago
Finite Difference Simulations of the Navier-Stokes Equations Using Parallel Distributed Computing
 This paper discusses the implementation of a numerical algorithm for simulating incompressible fluid flows based on the finite difference method and designed for parallel compu...
João Paulo De Angeli, Andréa M. P. V...
DAC
2007
ACM
15 years 1 months ago
Computationally Efficient Power Integrity Simulation for System-on-Package Applications
Power integrity simulation for system-on-package (SoP) based modules is a crucial bottleneck in the SoP design flow. In this paper, the multi-layer finite difference method (M-FDM...
Krishna Bharath, Ege Engin, Madhavan Swaminathan, ...
DAC
2007
ACM
15 years 1 months ago
Parameter Finding Methods for Oscillators with a Specified Oscillation Frequency
This paper presents a generalized formulation of the periodic steady-state analysis for oscillators. The new formulation finds the value of a circuit parameter that results in a d...
Igor Vytyaz, David C. Lee, Suihua Lu, Amit Mehrotr...
DAC
2008
ACM
15 years 1 months ago
Automatic package and board decoupling capacitor placement using genetic algorithms and M-FDM
In the design of complex power distribution networks (PDN) with multiple power islands, it is required that the PDN represents a low impedance as seen by the digital modules. This...
Krishna Bharath, Ege Engin, Madhavan Swaminathan