TY - GEN A1 - Peterseim, Daniel A1 - Malqvist, Axel T1 - Computation of eigenvalues by numerical upscaling N2 - We discuss the possibility of computing eigenpairs of some prototypical linear second-order self-adjoint elliptic partial differential operator (or its high-resolution finite element discretization) by numerical upscaling techniques. We compute a low-dimensional generalized finite element space that preserves small eigenvalues in a superconvergent way. The approximate eigenpairs are then obtained by solving the corresponding low-dimensional algebraic eigenvalue problem. The rigorous error bounds are based on two-scale decompositions of H1 by means of a certain Clement-type quasi-interpolation operator. KW - eigenvalue KW - finite element KW - upscaling KW - computational homogenization KW - multiscale Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1179 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-11793 ER -