Convergence and optimal complexity of adaptive finite element eigenvalue computations
The paper deals with an adaptive finite element method for elliptic eigenvalue problems. The authors establish a relationship between the elliptic eigenvalue approximation and the associated boundary value approximation in order to establish a posteriori error estimators for the finite element eigenvalue solutions. After the adaptive algorithm for the finite element eigenvalues is designed, the convergence and optimal complexity of the adaptive finite element eigenvalue computation are proved. Several numerical experiments, supporting the theory, are presented.
scientific article; zbMATH DE number 5377097
scientific article