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Showing 1 to 2 of 2 for “"Analytic Semigroup"”.
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Approximation and Control of the Boussinesq Equations with Application to Control of Energy Efficient Building Systems
… equations where the linear term generates an analytic semigroup, we establish that this Riccati-based optimal boundary feedback control provides a local stabilizing controller for the full nonlinear Boussinesq equations. In addition, we present a finite element Galerkin approximation. Finally, …
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A semigroup approach to the numerical solution of parabolic differential equations
… equations. We exploit the framework of analytic semigroups to understand the properties of the solution as well as to develop numerical algorithms. In the first chapter, we focus on the homogeneous problem. A short introduction to the theory of analytic semigroups is given, which forms …