Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces

Ludwig Mitter

June 16, 2020, 1:30 p.m. ZOOM

We propose local multigrid solvers for adaptively refinedisogeometric discretizations using (truncated) hierarchicalB-splines. Smoothing is only performed in or near the refinementareas on each level, leading to a computationally efficientsolving strategy. The proposed solvers have provably robustconvergence with respect to the number of levels and the meshsizes of the hierarchical discretization space. In this talk weespecially go into details of our numerical experiments confirmingthe theoretical findings.

Joint work with Clemens Hofreither and Hendrik Speleers.