We discuss the solution of eigenvalue problems associated with partial differential equations that can be written in the generalized form Ax= λBx, where the matrices A and/or B may depend on a scalar parameter. Parameter dependent matrices occur frequently when stabilized formulations are used for the numerical approximation of partial differential equations. With the help of classical numerical examples we show that the presence of one (or both) parameters can produce unexpected results.
Bibliographical noteKAUST Repository Item: Exported on 2020-11-17
Acknowledgements: The authors are members of INdAM Research group GNCS and their research is supported by PRIN/MIUR. The research of the first and third authors is partially supported by IMATI/CNR.