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Mixed Problem (mixed + problem)

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Engineering60%

Selected Abstracts

On the modified Crank,Nicholson difference schemes for parabolic equation with non-smooth data arising in biomechanics

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, Issue 5 2010
Allaberen Ashyralyev
Abstract In the present paper, we consider the mixed problem for one-dimensional parabolic equation with non-smooth data generated by the blood flow through glycocalyx on the endothelial cells. Stable numerical method is developed and solved by using the r-modified Crank,Nicholson schemes. Numerical analysis is given for a constructed problem. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Some finite difference methods for a kind of GKdV equations

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, Issue 3 2007
X. Lai
Abstract In this paper, some finite difference schemes I, II, III and IV, are investigated and compared in solving a kind of mixed problem of generalized Korteweg-de Vries (GKdV) equations especially the relative errors. Both the numerical dispersion and the numerical dissipation are analysed for the constructed difference scheme I. The stability is also obtained for scheme I and the constructed predictor,corrector scheme IV by using a linearized stability method. Other two schemes, II and III, are also included in the comparison among these four schemes for the numerical analysis of different GKdV equations. The results enable one to consider the relative error when dealing with these kinds of GKdV equations. Copyright © 2006 John Wiley & Sons, Ltd. [source]

Approximation of the Navier,Stokes system with variable viscosity by a system of Cauchy,Kowaleska type

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 12 2008
G. M. de Araújo
Abstract In this paper, we study the existence of weak solutions when n,4 of the mixed problem for the Navier,Stokes equations defined in a bounded domain Q using approximation by a system of Cauchy,Kowaleska type. Periodical solutions are also analyzed. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Existence and uniform decay for Euler,Bernoulli beam equation with memory term

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 14 2004
Jong Yeoul Park
Abstract In this article we prove the existence of the solution to the mixed problem for Euler,Bernoulli beam equation with memory term. The existence is proved by means of the Faedo,Galerkin method and the exponential decay is obtained by making use of the multiplier technique combined with integral inequalities due to Komornik. Copyright © 2004 John Wiley & Sons, Ltd. [source]

Galerkin-type space-time finite elements for volumetrically coupled problems

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2003
Holger Steeb Dipl.-Ing.
The study focuses on error estimation techniques for a coupled problem with two constituents based on the Theory of Porous Media. After developing space-time finite elements for this mixed problem, we extend the numerical scheme to a coupled space-time adaptive strategy. Therefore, an adjoint or dual problem is formulated and discussed, which is solved lateron numerically. One advantage of the presented technique is the high flexibility of the error indicator with respect to the error measure. [source]