Keynote
Collocation and Galerkin isogeometric approximations of acoustic waves: a numerical comparison of spectral properties
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The acoustic wave equation with absorbing boundary conditions is approximated using collocation and Galerkin Isogeometric analysis (IGA) in space and implicit second-order Newmark schemes in time. We report numerical results for the condition number of the mass and iteration IGA matrices, in particular we study their dependence on the polynomial degree p, mesh size h and regularity k. The results show that the spectral properties of the IGA collocation matrices are analogous or in some cases better than the corresponding IGA Galerkin that are known for the Poisson problem with Dirichlet boundary conditions and are also studied experimentally here.
