Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations
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In this paper, a space-time finite element method was proposed for the numerical solution of parabolic optimal control problems using Babuska's polynomial-time method on fully unstructured simplicial space time meshes.Abstract:
This work presents and analyzes space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of parabolic optimal control problems. Using Babuska'...read more
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Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization
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References
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Functional a posteriori error estimates for time-periodic parabolic optimal control problems
TL;DR: A posteriori estimates of the functional type are derived, which are easily computable and provide guaranteed upper bounds for the state and co-state errors as well as for the cost functional.
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Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems
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Optimal control of a class of reaction–diffusion systems
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Aspects of Solvers for Large-Scale Coupled Problems in Porous Media
TL;DR: This work summarizes solution strategies for discrete systems occurring in the simulation of processes in the subsurface, focusing on scalable solvers for large and coupled systems.