Titlebook: Recent Progress in Computational and Applied PDES; Conference Proceedin Tony F. Chan,Yunqing Huang,Long-An Ying Conference proceedings 2002

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A Posteriori Error Analysis and Adaptive Methods for Parabolic Problems,roperties of a linear dual problem in non-divergence form with vanishing diffusion and strong advection to derive .... norm estimate for the continuous casting problem. This estimate exhibits a mild explicit dependence on velocity. We next use a direct energy estimate method to develop an efficient

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An Optimization Algorithm for the Meteorological Data Assimilation Problem,verse problem is formulated as a constrained optimization problem. An accurate model for the problem involves the Navier-Stokes equations and in certain cases the Euler equations. In order to understand diverse intricate aspects of the problem we have focused on the Euler case and formulated three m

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Analytic Aspects of Yang-Mills Fields, crucial to our understanding and mathematical applications of its solutions. In this note, we briefly discuss some analytic aspects and recent progress on the Yang-Mills equation in an Euclidean space..In the following, unless specified, we assume for simplicity that . is an open subset in r. with

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The Shape Optimization of Axisymmetric Structures Based on Fictitious Loads Variable,‘s ’control point’ as the optimizing design variable. The axisymmetric structure is decomposed by using an isoparametric parabolic-type element that has high accuracy for design sensitivity analysis. An efficient analytic method, based on a fictitious load variable, is developed for sensitivity anal

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A New Kind of Preconditioner for Interface Equations of Mortar Multipliers on Subspaces,ce unknown is chosen as mortar multiplier. We develope a class of preconditioners for the interface equation derived by projection on a suitable subspace. For our preconditioner, each local solver is defined on the common face between two neighbouring subdomains unlike the existing preconditioners,

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Some Problems in Large Scale Non-Hermitian Matrix Computations,or solving them are extremely important as they play a vital role in innumerable scientific applications. In this paper, we attempt to review state of the art of theory and algorithms of commonly used numerical methods for large scale nonsymmetric (non-Hermitian) eigenproblems. We finally pose some

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Global Propagation of Regular Nonlinear Hyperbolic Waves,.where . = (.., ... ,..). is the unknown vector function of (.,.), .(.) = (..(.))is an . × . matrix with suitably smoothentrics ..(.) (., . =1, ... ,.) and .(.) = (..(.), ... , ..(.)). is a .. vector function of . with bounded ..norm.

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