A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations

Abstract

We improve spectral properties of isogeometric multipatch discretizations via a variational approach based on perturbed eigenvalue analysis.• We present an iterative procedure to estimate optimal scaling parameters such that the outlier frequencies are effectively reduced.• Our approach allows for a much larger critical time-step size in explicit dynamics, independently of the polynomial degree.