Portal de Periódicos da CAPES

Condition number bounds for IETI-DP methods that are explicit in h and p

2020; World Scientific; Volume: 30; Issue: 11 Linguagem: Inglês

10.1142/s0218202520500384

1793-6314

Rainer Schneckenleitner, Stefan Takacs,

Computational Geometry and Mesh Generation

We study the convergence behavior of Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for solving large-scale algebraic systems arising from multi-patch Isogeometric Analysis. We focus on the Poisson problem on two-dimensional computational domains. We provide a convergence analysis that covers several choices of the primal degrees of freedom: the vertex values, the edge averages, and the combination of both. We derive condition number bounds that show the expected behavior in the grid size [Formula: see text] and that are quasi-linear in the spline degree [Formula: see text].