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
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;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.792970
