Now showing items 1-7 of 7

    • An effective method for parameter estimation with pde constraints with multiple right-hand sides 

      Haber, E.; Chung, M.; Herrmann, F. (Siam Publications, 2012)
      Often, parameter estimation problems of parameter-dependent PDEs involve multiple right-hand sides. The computational cost and memory requirements of such problems increase linearly with the number of right-hand sides. For ...
    • H-2 model reduction for large-scale linear dynamical systems 

      Gugercin, S.; Antoulas, A. C.; Beattie, C. (Siam Publications, 2008)
      The optimal H-2 model reduction problem is of great importance in the area of dynamical systems and simulation. In the literature, two independent frameworks have evolved focusing either on solution of Lyapunov equations ...
    • Interpolatory projection methods for parameterized model reduction 

      Baur, U.; Beattie, C.; Benner, P.; Gugercin, S. (Siam Publications, 2011)
      We provide a unifying projection-based framework for structure-preserving interpolatory model reduction of parameterized linear dynamical systems, i.e., systems having a structured dependence on parameters that we wish to ...
    • Model reduction of descriptor systems by interpolatory projection methods 

      Gugercin, S.; Stykel, T.; Wyatt, S. (Siam Publications, 2013)
      In this paper, we investigate an interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that directly applying the subspace conditions from the ...
    • Preconditioners for generalized saddle-point problems 

      Siefert, C.; De Sturler, E. (Siam Publications, 2006)
      We propose and examine block-diagonal preconditioners and variants of indefinite preconditioners for block two-by-two generalized saddle-point problems. That is, we consider the nonsymmetric, nonsingular case where the ( ...
    • Recycling BICG with an application to model reduction 

      Ahuja, K.; de Sturler, E.; Gugercin, S.; Chang, E. R. (Siam Publications, 2012)
      Science and engineering problems frequently require solving a sequence of dual linear systems. Besides having to store only a few Lanczos vectors, using the biconjugate gradient method (BiCG) to solve dual linear systems ...
    • Transfer function approach to output specification in certain linear distributed parameter systems 

      Johnson, H. L.; Russell, D. L. (American Institute of Mathematical Sciences, 2003)
      We carry out error estimation of a class of immersed finite element (IFE) methods for elliptic interface problems with both perfect and imperfect interface jump conditions. A key feature of these methods is that their ...