On Block Triangular Preconditioners for the Interior Point Solution of PDE-Constrained Optimization Problems
DOI10.1007/978-3-319-93873-8_48zbMath1450.65175OpenAlexW2724509170MaRDI QIDQ5114568
John W. Pearson, Jacek Gondzio
Publication date: 24 June 2020
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://kar.kent.ac.uk/61945/1/DD24.pdf
Schur complementdomain decompositionalgebraic multigridsaddle point systemsblock triangular preconditionerBramble-Pasciak conjugate gradient methodPDE-constrained optimization problem
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Direct numerical methods for linear systems and matrix inversion (65F05) Preconditioners for iterative methods (65F08)
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