A fast algorithm to raise the degree of spline curves
Computer Aided Geometric Design
The NURBS book
The ubiquitous Kronecker product
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
A finite element Poisson solver for gyrokinetic particle simulations in a global field aligned mesh
Journal of Computational Physics
A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation
Journal of Computational Physics
Bézier surfaces and finite elements for MHD simulations
Journal of Computational Physics
Fast degree elevation and knot insertion for B-spline curves
Computer Aided Geometric Design
Isogeometric Analysis: Toward Integration of CAD and FEA
Isogeometric Analysis: Toward Integration of CAD and FEA
An Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell Equations
Journal of Scientific Computing
A fast solver for the gyrokinetic field equation with adiabatic electrons
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
In this work, a new discretization scheme for the gyrokinetic quasi-neutrality equation is proposed. It is based on Isogeometric Analysis; the IGA which relies on NURBS functions, accommodates arbitrary coordinates and the use of complicated computation domains. Moreover, arbitrary high order degree of basis functions can be used and their regularity enables the use of a low number of elements. Here, this approach is successfully tested on elliptic problems like the quasi-neutrality equation arising in gyrokinetic models. In this last application, when polar coordinates are considered, a fast solver can be used and the non locality is dealt with a suitable decomposition which reduces the resolution of the gyrokinetic quasi-neutrality equation to a sequence of local 2D elliptic problems.