Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners

In this paper we obtain upper and lower bounds on the spectrum of the stiffness matrix arising from a finite element Galerkin approximation (using nodal basis functions) of a bounded, symmetric bilinear form which is elliptic on a Sobolev space of real index m Є [— 1,1]. The key point is that the fi...

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Veröffentlicht in:	SIAM journal on numerical analysis 2006-01, Vol.44 (4), p.1487-1513
Hauptverfasser:	Graham, Ivan G., McLean, William
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Aspect ratio Degrees of freedom Differential equations Estimates Grid refinement Integral equations Log integral function Mathematical functions Mathematical tables Matrices Polygons Vertices
Online-Zugang:	Volltext
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