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Isogeometric analysis has been developed recently to use basis functions resulting from
the CAO description of the computational domain for the finite element spaces. The goal of
this study is to develop an axisymmetric Finite Element PIC code in which specific spline
Finite Elements are used to solve the Maxwell equations and the same spline functions
serve as shape function for the particles. The computational domain itself is defined using
splines...
This paper introduces an isoparametric analysis to solve the Vlasov equation with a
semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an
axisymmetric configuration is considered. Numerical experiments are conducted on
computational meshes targeting different geometries. The impact of the computational grid
on the accuracy and the computational cost are shown. The use of analytical mapping or
Bézier patches does not induce...
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