The Lightning Virtual Element Method for Self-adjoint Eigenvalue Problems
摘要
This paper introduces the lightning Virtual Element Method for self-adjoint eigenvalue problems in modal analysis of structures. Unlike traditional VEM, the lightning VEM uses lightning rational functions, eliminating the need for stabilization terms and improving stiffness matrix conditioning. We explore the effect of removing the stabilization term on the spectrum of the operator, and we show that the lightning VEM is able to compute the eigenvalues of the problem with the same accuracy as the classical VEM, without suffering the polluting effect of the stabilization.