Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem
Copyright policy )Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem
The paper is concerned with the Dirichlet problem for a second-order linear elliptic equation with bounded and measurable coefficients. By using the theory of intermediate operators, methods for the calculus of the Green operator and of the corresponding Green function are given. Lower bounds for the eigenvalues are derived as well. The results are extended also to the nonselfadjoint problem. Numerical experiments are included.
- Roma Tre University Italy
- Sapienza University of Rome Italy
Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Variational methods for second-order elliptic equations, numerical examples, intermediate operators, second-order linear elliptic equation, Green function, eigenvalues, Estimates of eigenvalues in context of PDEs, Dirichlet problem
Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Variational methods for second-order elliptic equations, numerical examples, intermediate operators, second-order linear elliptic equation, Green function, eigenvalues, Estimates of eigenvalues in context of PDEs, Dirichlet problem
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