Titlebook: Optimal Control of Coupled Systems of Partial Differential Equations; Karl Kunisch,Jürgen Sprekels,Fredi Tr?ltzsch Conference proceedings

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書目名稱Optimal Control of Coupled Systems of Partial Differential Equations讀者反饋




書目名稱Optimal Control of Coupled Systems of Partial Differential Equations讀者反饋學(xué)科排名

出血

A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Mefined in matrix variables are approximated by block separable convex models. Global convergence is proved under reasonable assumptions. The article is concluded by numerical experiments with challenging Free Material Optimization problems subject to displacement constraints.

狼群

On Some Nonlinear Optimal Control Problems with Vector-valued Affine Control Constraints,d. Local superlinear convergence of the infinite-dimensional method is proved. Finally, the properties of the method are tested numerically by controlling the Navier-Stokes equations with affine constraints.

根除

Lavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise State Constraintong convergence of the generated control sequence to the optimal control is proved. Due to the prox-character of the proposed regularization, the feasibility of the iterates for a given parameter can be improved compared with the non-prox Lavrentiev regularization.

使成整體

Feedback Modal Control of Partial Differential Equations,e modeling of implementation in a PDE context. A principal result is global existence, in an appropriate sense, for the implemented closed loop control system. A problem of transport on a graph is then presented to show how the relevant hypotheses might be satisfied in a PDE example.

綠州

Eclampsia

A Continuous Adjoint Approach to Shape Optimization for Navier Stokes Flow,s used, the resulting formula yields the exact discrete reduced gradient. We first introduce the adjoint-based shape derivative computation in a Banach space setting. This method is then applied to the instationary Navier-Stokes equations. Finally, we give some numerical results.

puzzle

Climate

How to Check Numerically the Sufficient Optimality Conditions for Infinite-dimensional Optimizationose a method to verify whether the second-order sufficient optimality conditions hold in a neighborhood of a numerical solution. This method is then applied to abstract optimal control problems. Finally, we consider an optimal control problem subject to a semi-linear elliptic equation that appears to have multiple local minima.

強(qiáng)所

Fast and Strongly Localized Observation for a perturbed Plate Equation,The aim of this work is to study the exact observability of a perturbed plate equation. A fast and strongly localized observation result was proven using a perturbation argument of an Euler-bernoulli plate equation and a unique continuation result for bi-Laplacian.