Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems

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We show that isogeometric Galerkin discretizations of eigenvalue problems related to the Laplace operator subject to any standard type of homogeneous boundary conditions have no outliers in certain optimal spline subspaces. Roughly speaking, these optimal ...

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We present the construction of additive multilevel preconditioners, also known as BPX preconditioners, for the solution of the linear system arising in isogeometric adaptive schemes with (truncated) hierarchical B-splines. We show that the locality of hier ...

Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems

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