spectral order

2011 ◽  
Keyword(s):  
Spectral Order

A note on Rado's theorem

1978 ◽  
Vol 26 (1) ◽  
pp. 86-88 ◽  
Author(s):  
Kong-Ming Chong
Keyword(s):  
Convex Hull ◽  
Order Relation ◽  
Subject Classification ◽  
Spectral Order ◽  
52 A 20 ◽  
Spectral Inequality ◽  
52 A 40

AbstractIn this note, a theorem of Rado which characterizes the convex hull of the set of all rearrangements of a given real n-tuple in terms of the Hardy—Littlewood—Pólya spectral order relation < is shown to be a consequence of a result of Hardy—Littlewood—Pólya and a strong spectral inequality.Subject classification (Amer. Math. Soc. (MOS) 1970): 52 A 40, 52 A 20.

scholarly journals Analytical modeling and tolerance analysis of a linear variable filter for spectral order sorting

2015 ◽  
Vol 23 (4) ◽  
pp. 5102 ◽  
Author(s):  
Cheng-Hao Ko ◽  
Kuei-Ying Chang ◽  
You-Min Huang
Keyword(s):  
Analytical Modeling ◽  
Tolerance Analysis ◽  
Spectral Order ◽  
Linear Variable Filter

scholarly journals A remark on the spectral order of operators

1971 ◽  
Vol 47 ◽  
pp. 986-988 ◽  
Author(s):  
Masatoshi Fujii ◽  
Isamu Kasahara
Keyword(s):  
Spectral Order

scholarly journals MIXED hp-FEM ON ANISOTROPIC MESHES

1998 ◽  
Vol 08 (05) ◽  
pp. 787-820 ◽  
Author(s):  
DOMINIK SCHÖTZAU ◽  
CHRISTOPH SCHWAB
Keyword(s):  
Aspect Ratio ◽  
Spectral Elements ◽  
Incompressible Fluid Flow ◽  
Spectral Order ◽  
Quadrilateral Mesh ◽  
Polynomial Degree ◽  
Anisotropic Meshes ◽  
Shishkin Meshes ◽  
Consistency Results ◽  
Velocity Pressure

Mixed hp-FEM for incompressible fluid flow on anisotropic meshes are analyzed. A discrete inf–sup condition is proved with a constant independent of the meshwidth and the aspect ratio. For each polynomial degree k≥2 we present velocity-pressure subspace pairs which are stable on quadrilateral mesh-patches independently of the element aspect ratio, implying in particular divergence stability on the so-called Shishkin-meshes. Moreover, the inf–sup constant is shown to depend on the spectral order k like k-1/2 for quadrilateral meshes and like k-3 for meshes containing triangles. New consistency results for spectral elements on anisotropic meshes are also proved.

CONVERGENCE OF A hp-STREAMLINE DIFFUSION SCHEME FOR VLASOV–FOKKER–PLANCK SYSTEM

2007 ◽  
Vol 17 (08) ◽  
pp. 1159-1182 ◽  
Author(s):  
M. ASADZADEH ◽  
A. SOPASAKIS
Keyword(s):  
Finite Element ◽  
A Priori ◽  
Mesh Size ◽  
Stability Estimates ◽  
Spectral Order ◽  
Element Discretization ◽  
Diffusion Scheme ◽  
Streamline Diffusion ◽  
Stabilization Parameter ◽  
Fokker Planck

We analyze the hp-version of the streamline diffusion finite element method for the Vlasov–Fokker–Planck system. For this method we prove the stability estimates and derive sharp a priori error bounds in a stabilization parameter δ ~ min (h/p, h2/σ), with h denoting the mesh size of the finite element discretization in phase-space-time, p the spectral order of approximation, and σ the transport cross-section.

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