Keywords: PDE محدودیت بهینه سازی; Cardiac mechanics; Adjoint method; Data assimilation; PDE-constrained optimization; Contractility;
مقالات ISI PDE محدودیت بهینه سازی (ترجمه نشده)
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Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Multi-field coupling; Joule heating; Composite materials;
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Time-dependent Stokes control; Preconditioning; Saddle point system; Schur complement; Commutator argument;
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Reaction–diffusion; Pattern formation; Newton iteration; Preconditioning; Schur complement
Keywords: PDE محدودیت بهینه سازی; Fully discrete adjoint method; Discontinuous Galerkin methods; Deforming domain conservation law; Optimal control; High-order methods; PDE-constrained optimization;
Keywords: PDE محدودیت بهینه سازی; Reduced basis method; Optimal flow control; Saddle-point problems; PDE-constrained optimization; A posteriori error estimates
Keywords: PDE محدودیت بهینه سازی; Transport equations; Evolving interfaces; Level set methods; Finite elements; Mass conservation; PDE-constrained optimization
Keywords: PDE محدودیت بهینه سازی; Evolving interfaces; Level set methods; Finite elements; Mass conservation; Optimal control; PDE-constrained optimization
Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Forward-and-backward PDE system; Time domain decomposition algorithm; Schwarz algorithms; Preconditioners; Coarse space correction;
Some preconditioners for elliptic PDE-constrained optimization problems
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Saddle point matrix; Preconditioner; Eigenvalue; Eigenvector;
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Saddle point matrices; Preconditioner; Cholesky decomposition; Spectral bound;
Preconditioning PDE-constrained optimization with L1-sparsity and control constraints
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Saddle point systems; Preconditioning; Krylov subspace solver; Sparsity; Semismooth Newton method;
Optimal control of a coupled partial and ordinary differential equations system for the assimilation of polarimetry Stokes vector measurements in tokamak free-boundary equilibrium reconstruction with application to ITER
Keywords: PDE محدودیت بهینه سازی; Tokamak equilibrium reconstruction; Free plasma boundary; Stokes model polarimetry; Inverse problem; PDE-constrained optimization;
A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems
Keywords: PDE محدودیت بهینه سازی; Preconditioner; PDE-constrained optimization; Complex linear system; Eigenvalue distribution
Simultaneous single-step one-shot optimization with unsteady PDEs
Keywords: PDE محدودیت بهینه سازی; Simultaneous optimization; One-shot method; PDE-constrained optimization; Unsteady PDE; Adaptive time scale
A fully discrete adjoint method for optimization of flow problems on deforming domains with time-periodicity constraints
Keywords: PDE محدودیت بهینه سازی; Time-periodic solutions; Shooting methods; Fully discrete adjoint equations; PDE-constrained optimization; Energetically optimal flapping flight; Time-periodicity constraints;
Trajectory piecewise quadratic reduced-order model for subsurface flow, with application to PDE-constrained optimization
Keywords: PDE محدودیت بهینه سازی; Reduced-order models; Trajectory piecewise linear; Trajectory piecewise quadratic; TPWL; TPWQ; Model order reduction; Proper orthogonal decomposition; Reservoir simulation; Subsurface flow; Optimization; PDE-constrained optimization; Trust-region-based op
Low-rank solvers for unsteady Stokes–Brinkman optimal control problem with random data
Keywords: PDE محدودیت بهینه سازی; 35R60; 60H15; 60H35; 65N22; 65F10Stochastic Galerkin system; PDE-constrained optimization; Low-rank solution; Tensor methods; Preconditioning; Schur complement
Domain decomposition in time for PDE-constrained optimization
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Space-time methods; Preconditioning; Domain decomposition; Parallel computing;
Adjoint method for a tumor invasion PDE-constrained optimization problem in 2D using adaptive finite element method
Keywords: PDE محدودیت بهینه سازی; Reaction–diffusion 2D equation; Tumor invasion; PDE-constrained optimization; Adjoint method; Adaptive finite element method; Splitting method
Preconditioned iterative methods for Navier–Stokes control problems
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Navier–Stokes control; Picard iteration; preconditioning; Schur complement
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Variational discretization; Immersed finite element; Elliptic interface problem;
Full-waveform inversion in three-dimensional PML-truncated elastic media
Keywords: PDE محدودیت بهینه سازی; Full-waveform inversion; Seismic inversion; Inverse medium problem; PDE-constrained optimization; Elastic wave propagation; Perfectly-matched-layer (PML);
PDE-constrained optimization with error estimation and control
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Adjoint-weighted residual method; Output error estimation; A posteriori error estimation;
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements
Keywords: PDE محدودیت بهینه سازی; Cahn-Hilliard equation; Double obstacle potential; PDE-constrained optimization; Moreau-Yosida regularization technique; Semi-smooth Newton method; Preconditioning;
A PDE-constrained optimization approach to the discontinuous Petrov-Galerkin method with a trust region inexact Newton-CG solver
Keywords: PDE محدودیت بهینه سازی; Discontinuous Petrov-Galerkin methods; Trust region inexact Newton conjugated gradient method; Forward equation; Adjoint equation; Incremental forward equation; PDE-constrained optimization;
Multigrid solution of a distributed optimal control problem constrained by the Stokes equations
Keywords: PDE محدودیت بهینه سازی; Multigrid methods; PDE-constrained optimization; Stokes equations; Finite elements; Optimal order preconditioners
Adjoint method for a tumor growth PDE-constrained optimization problem
Keywords: PDE محدودیت بهینه سازی; Avascular tumor; PDE-constrained optimization; Inverse problem; Mathematical modeling; Adjoint method
All-at-once solution of time-dependent Stokes control
Keywords: PDE محدودیت بهینه سازی; Saddle point problems; Unsteady Stokes equation; PDE-constrained optimization; Preconditioning
Preconditioning for Allen–Cahn variational inequalities with non-local constraints
Keywords: PDE محدودیت بهینه سازی; PDE-constrained optimization; Allen–Cahn model; Newton method; Saddle point systems; Preconditioning; Krylov subspace solver
Distributed control and constraint preconditioners
Keywords: PDE محدودیت بهینه سازی; Saddle point problems; PDE-constrained optimization; Optimal control; Linear systems; Preconditioners; Conjugate gradient method
The inverse medium problem in heterogeneous PML-truncated domains using scalar probing waves
Keywords: PDE محدودیت بهینه سازی; Inverse medium problem; Full waveform inversion; Perfectly-matched-layer (PML); Mixed unsplit-field formulation; PDE-constrained optimization; Marmousi model
A multigrid method for constrained optimal control problems
Keywords: PDE محدودیت بهینه سازی; 49K20; 65N55Multigrid methods; Saddle point system; PDE-constrained optimization; Control constraints; Primal–dual active set methods
Shape optimization of peristaltic pumping
Keywords: PDE محدودیت بهینه سازی; Peristalsis; Pumping; Shape optimization; PDE-constrained optimization; Variational method; Finite element method
Direct time-domain soil profile reconstruction for one-dimensional semi-infinite domains
Keywords: PDE محدودیت بهینه سازی; Inverse medium problem; PDE-constrained optimization; Material profile reconstruction; Time-dependent regularization; Semi-infinite domains; Soil profile