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RIS citation export for WEPIK111: Derivation of a Finite Element Formulation From a Lagrangian for the Electromagnetic Potentials

TY - CONF
AU - Vrielink, A.R.
AU - Nasr, M.H.
AU - Tantawi, S.G.
ED - Schaa, Volker RW
ED - Arduini, Gianluigi
ED - Pranke, Juliana
ED - Seidel, Mike
ED - Lindroos, Mats
TI - Derivation of a Finite Element Formulation From a Lagrangian for the Electromagnetic Potentials
J2 - Proc. of IPAC2017, Copenhagen, Denmark, 14–19 May, 2017
C1 - Copenhagen, Denmark
T2 - International Particle Accelerator Conference
T3 - 8
LA - english
AB - Conventional electromagnetic finite element solvers typically solve a weak formulation of the Helmholtz wave equation. While mathematically this approach is correct, it does not fully reflect the fundamental physics involved. We offer an alternative variational formulation which is not derived from the Helmholtz wave equation but is more fundamentally tied to the physics of the system: a Lagrangian for the electromagnetic potentials. Solving for the potentials directly allows for a natural accounting of the beam wave interaction. It could also potentially avoid the issue of deleterious spurious modes inherent when selecting the Coulomb gauge and enforcing the subsequent divergence free condition, eliminating the need for vector basis functions. Herein we present the theory and the resulting formulation including a discussion on gauge fixing. We conclude with some numerical results demonstrating the potential of this formulation.
PB - JACoW
CP - Geneva, Switzerland
SP - 3208
EP - 3210
KW - electromagnetic-fields
KW - coupling
KW - operation
KW - resonance
KW - interface
DA - 2017/05
PY - 2017
SN - 978-3-95450-182-3
DO - 10.18429/JACoW-IPAC2017-WEPIK111
UR - http://jacow.org/ipac2017/papers/wepik111.pdf
ER -