DocumentCode
344558
Title
Hybrid computation of normal mode tune shifts in rounded-rectangular pipes
Author
Galdi, V. ; Petracca, S. ; Pinto, I.M.
Author_Institution
Salerno Univ., Italy
Volume
4
fYear
1999
fDate
1999
Firstpage
2882
Abstract
A fast and accurate hybrid (analytical-numerical) technique for computing the normal mode tune-shifts in rounded-rectangular (stadium) pipes is introduced based on the Galerkin method together with a smart representation of Poisson´s equation Green´s function in a rectangular domain. Comparison with standard finite-elements and finite difference methods shows that our method is faster and more accurate, requiring no numerical differentiation
Keywords
Galerkin method; Poisson equation; particle beam diagnostics; particle beam dynamics; Galerkin method; Green´s function; Poisson equation; finite difference; finite-element; normal mode tune shift; rounded-rectangular pipes; stadium pipe; Boundary conditions; Computational geometry; Finite element methods; Green´s function methods; Large Hadron Collider; Moment methods; Particle beams; Poisson equations; Resonance; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location
New York, NY
Print_ISBN
0-7803-5573-3
Type
conf
DOI
10.1109/PAC.1999.792970
Filename
792970
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