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SIAMSC
2011
151views more  SIAMSC 2011»
13 years 1 months ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li
PDPTA
2000
13 years 8 months ago
A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems
A class of singularly perturbed two-point boundary-value problems (BVPs) for second-order ordinary differential equations (DEs) is considered here. In order to obtain numerical sol...
Srinivasan Natesan, Jesús Vigo-Aguiar
MOC
2010
13 years 1 months ago
Entropy-satisfying relaxation method with large time-steps for Euler IBVPs
This paper could have been given the title: "How to positively and implicitly solve Euler equations using only linear scalar advections." The new relaxation method we pr...
Frédéric Coquel, Quang Long Nguyen, ...
SIAMSC
2008
113views more  SIAMSC 2008»
13 years 6 months ago
An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics
We develop a computational method for simulating models of gel dynamics where the gel is described by two phases, a networked polymer and a fluid solvent. The models consist of tra...
Grady B. Wright, Robert D. Guy, Aaron L. Fogelson
FIMH
2009
Springer
13 years 10 months ago
Atrioventricular Blood Flow Simulation Based on Patient-Specific Data
Abstract. We propose a new framework for simulating blood flow inside the heart, usable with geometric models of the heart from patientspecific data. The method is geared toward re...
Viorel Mihalef, Dimitris N. Metaxas, Mark Sussman,...