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Adaptive finite element methods for linear-quadratic convection dominated elliptic optimal control problems
The numerical solution of linear-quadratic elliptic optimal control problems requires the solution of a coupled system of elliptic partial differential equations (PDEs), consisting of the so-called state PDE, the adjoint ...
Implicitly Restarted DEIM_Arnoldi: An inner product free Krylov method for eigenproblems
This thesis proposes an inner product free Krylov method called Implicitly Restarted DEIM_Arnoldi (IRD) to solve large scale eigenvalue problems. This algorithm is based on the Implicitly Restarted Arnoldi (IRA) scheme, ...
Spectral Properties of Limit-Periodic Schrodinger Operators
We investigate spectral properties of limit-periodic SchrÃ¶dinger operators in [cursive l] 2 ([Special characters omitted.] ). Our goal is to exhibit as rich a spectral picture as possible. We regard limit-periodic potentials ...
Source localization in cluttered acoustic waveguides
Mode coupling due to scattering by weak random inhomogeneities leads to the loss of coherence in the wave field measured a long distances of propagation. This in turn leads to the deterioration of coherent source localization ...