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pro vyhledávání: '"Leveque, Santolo"'
An automated framework is presented for the numerical solution of optimal control problems with PDEs as constraints, in both the stationary and instationary settings. The associated code can solve both linear and non-linear problems, and examples for
Externí odkaz:
http://arxiv.org/abs/2408.17312
We address the solution of the distributed control problem for the steady, incompressible Navier--Stokes equations. We propose an inexact Newton linearization of the optimality conditions. Upon discretization by a finite element scheme, we obtain a s
Externí odkaz:
http://arxiv.org/abs/2408.05095
In this article, we derive fast and robust parallel-in-time preconditioned iterative methods for the all-at-once linear systems arising upon discretization of time-dependent PDEs. The discretization we employ is based on a Runge--Kutta method in time
Externí odkaz:
http://arxiv.org/abs/2303.02090
Autor:
Leveque, Santolo, Pearson, John W.
We derive novel, fast, and parameter-robust preconditioned iterative methods for steady and time-dependent Navier--Stokes control problems. Our approach may be applied to time-dependent problems which are discretized using backward Euler or Crank--Ni
Externí odkaz:
http://arxiv.org/abs/2108.00282
Autor:
Leveque, Santolo, Pearson, John W.
In this article, we derive a new, fast, and robust preconditioned iterative solution strategy for the all-at-once solution of optimal control problems with time-dependent PDEs as constraints, including the heat equation and the non-steady convection-
Externí odkaz:
http://arxiv.org/abs/2007.08410
In this paper, we present numerical methods suitable for solving convex quadratic Fractional Differential Equation (FDE) constrained optimization problems, with box constraints on the state and/or control variables. We develop an Alternating Directio
Externí odkaz:
http://arxiv.org/abs/1907.13428
Autor:
Leveque, Santolo
In this work, we study fast and robust solvers for optimal control problems with Partial Differential Equations (PDEs) as constraints. Speci cally, we devise preconditioned iterative methods for time-dependent PDE-constrained optimization problems, u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______463::33e190d67ee0c99dc4f45d20e6cbc28d
https://hdl.handle.net/1842/39213
https://hdl.handle.net/1842/39213
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Akademický článek
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Autor:
Leveque, Santolo, Pearson, John W.
Publikováno v:
Numerical Linear Algebra with Applications; Mar2022, Vol. 29 Issue 2, p1-23, 23p