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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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DOI

10.1016/0003-4916(92)90049-r

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0945-3245

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Spectral conditions for admissibility and observab

Authors: Sylvain Ervedoza
Publish Date: 2009/06/03
Volume: 113, Issue: 3, Pages: 377-415
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Abstract

In this article we derive uniform admissibility and observability properties for the finite element space semidiscretizations of ddot u+A 0 u=0 where A 0 is an unbounded selfadjoint positive definite operator with compact resolvent To address this problem we present a new spectral approach based on several spectral criteria for admissibility and observability of such systems Our approach provides very general admissibility and observability results for finite element approximation schemes of ddot u+A 0u =0 which stand in any dimension and for any regular mesh in the sense of finite elements Our results can be combined with previous works to derive admissibility and observability properties for full discretizations of ddot u+A 0 u=0 We also present applications of our results to controllability and stabilization problems

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  2. A new class of symplectic integration schemes based on generating functions
  3. An optimal adaptive finite element method for elastoplasticity
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  5. Controllability of an Elliptic equation and its Finite Difference Approximation by the Shape of the Domain
  6. Decay rates of adaptive finite elements with Dörfler marking
  7. Multi-parameter regularization and its numerical realization
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  11. Pathwise approximation of stochastic differential equations on domains: higher order convergence rates without global Lipschitz coefficients
  12. The multi-level Monte Carlo finite element method for a stochastic Brinkman Problem
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