We first provide existence and uniqueness conditions for the solvability of an algebraic
eigenvalue problem with eigenvector nonlinearity. We then present a local and global …

In this paper, an adaptive finite element method is proposed for solving Kohn–Sham
equation with the multilevel correction technique. In the method, the Kohn–Sham equation is …

An adaptive finite element method for eigenvalue problems is proposed based on the
multilevel correction scheme. Different from the standard adaptive finite element method …

The multigrid method is widely used in fluid simulation because of its strong convergence. In
addition to operating accuracy, operational efficiency is also an important factor to consider …

Yuan's lemma is a basic proposition on homogeneous quadratic function system. In this
paper, we extend Yuan's lemma to 4th-order tensor system. We first give two generalized …