Overlapping Additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity

Overlapping Additive Schwarz (OAS) preconditioners are here constructed for isogeometric collocation discretizations of the system linear elasticity in both two and three space dimensions. Isogeometric methods recent variants analysis based on numerical approximation strong form partial differential equations at appropriate points. Numerical results dimensions show that two-level OAS scalable number subdomains N, quasi-optimal with respect to mesh size h optimal spline polynomial degree p. Moreover, more robust than one-level non-preconditioned GMRES solvers when material tends incompressible limit, as well presence deformation NURBS geometry.