منابع مشابه
Convergence of Adaptive Finite Element Methods
Title of dissertation: CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS Khamron Mekchay, Doctor of Philosophy, 2005 Dissertation directed by: Professor Ricardo H. Nochetto Department of Mathematics We develop adaptive finite element methods (AFEMs) for elliptic problems, and prove their convergence, based on ideas introduced by Dörfler [7], and Morin, Nochetto, and Siebert [15, 16]. We first stud...
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We consider nonlinear elliptic systems, with mixed boundary conditions, on a convex polyhedral domain Ω ⊂ R . These are nonlinear divergence form generalizations of ∆u = f(· ,u), where f is outward pointing on the trapping region boundary. The motivation is that of applications to steady-state reaction/diffusion systems. Also included are reaction/diffusion/convection systems which satisfy the ...
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We compute general (non-radial) positive solutions of the semi-linear elliptic PDE u + u + u 5 = 0, in 3 space dimensions (where the nonlinearity is critical) using the Finite Element Method. We have overcome two fundamental diiculties in this approach. Firstly the convergence of the numerical solutions is very slow (on regular grids) and it is necessary to work with very ne meshes (10 6 nodes)...
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P. DALY, B.Sc, Ph.D.f Summary: A finite-element method based on a function minimization technique is developed for analysing homogeneous waveguide problems. The continuous eigen-value operator as in the Ritz finite-difference method is replaced by a matrix operator. The resulting equations are, however, matrix eigen-value equations. Relevant properties of the matrices are discussed. It is demon...
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ژورنال
عنوان ژورنال: Journal of the Society of Naval Architects of Japan
سال: 1971
ISSN: 1884-2070,0514-8499
DOI: 10.2534/jjasnaoe1968.1971.119