Found 63 Documents (Results 1–63)
Bilinear optimal control for the fractional Laplacian: analysis and discretization. (English) Zbl 07870733
A unifying framework for interpolatory \(\mathcal{L}_2\)-optimal reduced-order modeling. (English) Zbl 1523.30048
Value-gradient based formulation of optimal control problem and machine learning algorithm. (English) Zbl 1523.49031
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in isogeometric analysis. (English) Zbl 1518.49026
On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. (English) Zbl 1493.65154
Reviewer: Bülent Karasözen (Ankara)
Discretization of linear problems in Banach spaces: residual minimization, nonlinear Petrov-Galerkin, and monotone mixed methods. (English) Zbl 1457.65024
Optimality and regularization properties of quasi-interpolation: deterministic and stochastic approaches. (English) Zbl 1487.65017
Reviewer: Martin D. Buhmann (Gießen)
An inexact Uzawa algorithmic framework for nonlinear saddle point problems with applications to elliptic optimal control problem. (English) Zbl 1429.49008
Some convergence and optimality results of adaptive mixed methods in finite element exterior calculus. (English) Zbl 1422.65401
Optimality of a standard adaptive finite element method for the Stokes problem. (English) Zbl 1422.65383
Quasi-optimal nonconforming methods for symmetric elliptic problems. II: – Overconsistency and classical nonconforming elements. (English) Zbl 1414.65037
Reviewer: Murli Gupta (Washington, D. C.)
On the nonsymmetric coupling method for parabolic-elliptic interface problems. (English) Zbl 1412.65207
Reviewer: Abdallah Bradji (Annaba)
Quasi-optimal nonconforming methods for symmetric elliptic problems. III: Discontinuous Galerkin and other interior penalty methods. (English) Zbl 1447.65164
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Quasi-optimal nonconforming methods for symmetric elliptic problems. I: Abstract theory. (English) Zbl 1412.65191
On the edge recovery property of nonconvex nonsmooth regularization in image restoration. (English) Zbl 1391.49050
A unified analysis of quasi-optimal convergence for adaptive mixed finite element methods. (English) Zbl 1387.65118
A measure approximation for distributionally robust PDE-constrained optimization problems. (English) Zbl 1381.49021
Edge element method for optimal control of stationary Maxwell system with Gauss law. (English) Zbl 1375.78010
Mass lumping for the optimal control of elliptic partial differential equations. (English) Zbl 1368.49037
Converse results, saturation and quasi-optimality for Lavrentiev regularization of accretive problems. (English) Zbl 1366.65058
Convergence and optimality of higher-order adaptive finite element methods for eigenvalue clusters. (English) Zbl 1346.65058
Finite element approximations of parabolic optimal control problems with controls acting on a lower dimensional manifold. (English) Zbl 1343.49044
Reviewer: Aygul Manapova (Ufa)
The interface control domain decomposition method for Stokes-Darcy coupling. (English) Zbl 1337.49056
Reviewer: Bülent Karasözen (Ankara)
Preconditioned solution of state gradient constrained elliptic optimal control problems. (English) Zbl 1335.49043
The \(L^2\)-projection and quasi-optimality of Galerkin methods for parabolic equations. (English) Zbl 1382.65328
Optimal control of a free boundary problem with surface tension effects: a priori error analysis. (English) Zbl 1343.49043
Reviewer: Aygul Manapova (Ufa)
Newton-Picard preconditioners for time-periodic parabolic optimal control problems. (English) Zbl 1377.49003
Analysis of a fluid-structure interaction problem recast in an optimal control setting. (English) Zbl 1327.49013
Preconditioned Douglas-Rachford splitting methods for convex-concave saddle-point problems. (English) Zbl 1314.65084
Optimal a priori error estimates of parabolic optimal control problems with pointwise control. (English) Zbl 1284.49035
Reviewer: Bülent Karasözen (Ankara)
A discontinuous Galerkin time-stepping scheme for the velocity tracking problem. (English) Zbl 1273.49035
Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems. (English) Zbl 1253.49018
Crank–Nicolson schemes for optimal control problems with evolution equations. (English) Zbl 1248.49041
Weighted marking for goal-oriented adaptive finite element methods. (English) Zbl 1245.65155
Reviewer: Pavel Burda (Praha)
Quasi-optimality of adaptive nonconforming finite element methods for the Stokes equations. (English) Zbl 1229.65205
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Inexact restoration for Runge-Kutta discretization of optimal control problems. (English) Zbl 1230.49029
Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems. (English) Zbl 1218.49036
On the strong convergence of gradients in stabilized degenerate convex minimization problems. (English) Zbl 1205.35062
First-order system least-squares methods for an optimal control problem by the Stokes flow. (English) Zbl 1404.49019
Optimal control of the Stokes equations: a priori error analysis for finite element discretization with postprocessing. (English) Zbl 1140.49015
Reviewer: Igor Bock (Bratislava)
Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control. (English) Zbl 0963.35150
Reviewer: Laura-Iulia Aniţa (Iaşi)
An optimization-based domain decomposition method for the Navier-Stokes equations. (English) Zbl 1003.76024
Reviewer: Ramaz Bochorishvili (Tbilisi)
A pseudospectral three-dimensional boundary integral method applied to a nonlinear model problem from finite elasticity. (English) Zbl 0815.41008
Numerical approximation of the solution of a variational problem with a double well potential. (English) Zbl 0725.65067
Reviewer: Y.Cherruault (Paris)
Discrete variable methods for the m-dependent variable, nonlinear extremal problem in the calculus of variations. (English) Zbl 0702.65065
Reviewer: J.Ramik
On the convergence of finite-element approximations of a relaxed variational problem. (English) Zbl 0696.65070
Reviewer: W.Velte
Optimal block diagonal \(l_ 2\)-scaling of matrices. (English) Zbl 0561.65026
Reviewer: R.P.Tewarson
On the construction of semiiterative methods. (English) Zbl 0547.65029
Reviewer: R.Angelov
MSC:
65F10
Error estimates for a discrete approximation to constrained control problems. (English) Zbl 0469.65045
An algorithm for \(\ell_1\)-norm minimization with application to nonlinear \(\ell_1\)-approximation. (English) Zbl 0401.90089
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