The Joint Accelerator Conferences Website (JACoW) is an international collaboration that publishes the proceedings of accelerator conferences held around the world.
TY - CONF
AU - Gee, A.J.
AU - Erdelyi, B.
ED - Petit-Jean-Genaz, Christine
ED - Kim, Dong Eon
ED - Kim, Kyung Sook
ED - Ko, In Soo
ED - Schaa, Volker RW
TI - A Differential Algebraic Framework for the Fast Indirect Boundary Element Method
J2 - Proc. of IPAC2016, Busan, Korea, May 8-13, 2016
C1 - Busan, Korea
T2 - International Particle Accelerator Conference
T3 - 7
LA - english
AB - Beam physics at the intensity frontier must account for the beams' realistic surroundings on their dynamics in an accurate and efficient manner. Mathematically, the problem can be expressed as a Poisson PDE with given boundary conditions. Commonly, the Poisson boundary value problem is solved locally within many volume elements. However, it is known the PDE may be re-expressed as indirect bound- ary integral equations (BIE) which give a global solution*. By solving the BIEs on M surface elements, we arrive at the indirect boundary element method (iBEM). Iteratively solving this dense linear system of form Ax = b scales like (m_{i}terations M² ). Accelerating with the fast multipole method (FMM) can reduce this to O(M) if m_{i}terations << M. For N evaluation points, the total complexity would be O(M) + O(N) or O(N) with N = M. We have implemented a constant element version of this fast iBEM based on our previous work with the FMM in the differential algebraic (DA) framework**. This implementation is to illustrate the flexibility and accuracy of our method. A future version will focus on allowing for higher order elements.
PB - JACoW
CP - Geneva, Switzerland
SP - 3107
EP - 3109
KW - multipole
KW - simulation
KW - space-charge
KW - framework
KW - controls
DA - 2016/06
PY - 2016
SN - 978-3-95450-147-2
DO - 10.18429/JACoW-IPAC2016-WEPOY050
UR - http://jacow.org/ipac2016/papers/wepoy050.pdf
ER -