A new approximation of the Schur complement in preconditioners for PDE-constrained optimization

A new approximation of the Schur complement in preconditioners for PDE-constrained optimization

他のバージョン（2件）を表示する

Saddle point systems arise widely in optimization problems with constraints. The utility of Schur complement approximation is now broadly appreciated in the context of solving such saddle point systems by iteration. In this short manuscript, we present a new Schur complement approximation for PDE-co...

書誌詳細
主要な著者:	Pearson, J, Wathen, A
フォーマット:	Journal article
言語:	English
出版事項:	2012

類似資料

A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
著者:: Pearson, J, 等
出版事項: (2012)

A New Approximation of the Schur Complement in Preconditioners for PDE Constrained Optimization
著者:: Pearson, J, 等
出版事項: (2010)

Schur complement preconditioners for the Navier-Stokes equations
著者:: Loghin, D, 等
出版事項: (2002)

REGULARIZATION-ROBUST PRECONDITIONERS FOR TIME-DEPENDENT PDE-CONSTRAINED OPTIMIZATION PROBLEMS
著者:: Pearson, J, 等
出版事項: (2012)

Regularization-robust preconditioners for time-dependent PDE constrained optimization problems
著者:: Pearson, J, 等
出版事項: (2011)

Block triangular preconditioners for PDE constrained optimization
著者:: Stoll, M, 等
出版事項: (2009)

Matching Schur complement approximations for certain saddle-point systems
著者:: Pearson, JW, 等
出版事項: (2018)

A Robust Approximation of the Schur Complement Preconditioner for an Efficient Numerical Solution of the Elliptic Optimal Control Problems
著者:: Kizito Muzhinji, 等
出版事項: (2020-07-01)

Preconditioners for state constrained optimal control problems with Moreau-Yosida penalty function
著者:: Pearson, J, 等
出版事項: (2012)

Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function
著者:: Pearson, J, 等
出版事項: (2014)

Optimal solvers for PDE-Constrained Optimization
著者:: Rees, T, 等
出版事項: (2008)

Optimal solvers for PDE-constrained optimization
著者:: Rees, T, 等
出版事項: (2010)

Optimal solvers for PDE−Constrained Optimization
著者:: Rees, T, 等
出版事項: (2008)

OPTIMAL SOLVERS FOR PDE-CONSTRAINED OPTIMIZATION
著者:: Rees, T, 等
出版事項: (2010)

Approximate factorization constraint preconditioners for saddle-point matrices
著者:: Dollar, H, 等
出版事項: (2006)

All-at-once preconditioning in PDE-constrained optimization
著者:: Rees, T, 等
出版事項: (2009)

Preconditioners for state constrained optimal control problems with Moreau-Yosida penalty function tube
著者:: Stoll, M, 等
出版事項: (2010)

Schur complement preconditioning for elliptic systems of partial differential equations
著者:: Loghin, D, 等
出版事項: (2001)

Schur complement preconditioning for elliptic systems of partial differential equations
著者:: Loghin, D, 等
出版事項: (2003)

All-at-once solution of time-dependent PDE-constrained optimization problems
著者:: Stoll, M, 等
出版事項: (2010)

Fast iterative solvers for PDE-constrained optimization problems
著者:: Pearson, J
出版事項: (2013)

A nearly optimal preconditioner for the Navier-Stokes equations
著者:: Hemmingsson-Fraenden, L, 等
出版事項: (1999)

A new preconditioner for the Oseen equations
著者:: Wathen, A, 等
出版事項: (2001)

Progressive Iterative Approximation with Preconditioners
著者:: Chengzhi Liu, 等
出版事項: (2020-09-01)

Natural preconditioners for saddle point systems
著者:: Pestana, J, 等
出版事項: (2013)

On implicit-factorization constraint preconditioners
著者:: Dollar, H, 等
出版事項: (2006)

On implicit-factorization constraint preconditioners
著者:: Dollar, H, 等
出版事項: (2004)

All-at-Once Solution if Time-Dependent PDE-Constrained Optimisation Problems
著者:: Stoll, M, 等
出版事項: (2010)

Analysis of preconditioners for saddle-point problems
著者:: Loghin, D, 等
出版事項: (2004)

Analysis of preconditioners for saddle-point problems
著者:: Loghin, D, 等
出版事項: (2002)

A Radial Basis Function Method for Solving PDE Constrained Optimization Problems
著者:: Pearson, J
出版事項: (2011)

Circulant preconditioners for analytic functions of Toeplitz matrices
著者:: Hon, S, 等
出版事項: (2018)

The Bramble−Pasciak preconditioner for saddle point problems
著者:: Stoll, M, 等
出版事項: (2007)

The Bramble-Pasciak preconditioner for saddle point problems
著者:: Stoll, M, 等
出版事項: (2007)

On choice of preconditioner for minimum residual methods for nonsymmetric matrices
著者:: Pestana, J, 等
出版事項: (2011)

On choice of preconditioner for minimum residual methods for nonsymmetric matrices
著者:: Pestana, J, 等
出版事項: (2010)

Real-time PDE-constrained optimization /
著者:: Biegler, Lorenz T.
出版事項: (2007)

Large-scale PDE-constrained optimization /
著者:: Biegler, Lorenz T.
出版事項: (2003)

Preconditioning for active set and projected gradient methods as semi-smooth Newton methods for PDE-constrained optimization with control constraints
著者:: Stoll, M, 等
出版事項: (2009)

An Augmented Incomplete Factorization Approach for Computing the Schur Complement in Stochastic Optimization
著者:: Petra, Cosmin G., 等
出版事項: (2014)