Model order reduction with Galerkin projection applied to nonlinear optimization with infeasible primal-dual interior point method
DOI10.1002/nme.6181zbMATH Open1548.65134MaRDI QIDQ6553463
Paulo M. Pimenta, P. S. B. Nigro, J. Schröder, Eduardo T. Simões
Publication date: 11 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Schur complementinterior point methodsmodel order reductionGalerkin projectionnonlinear optimization with constraint
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Interior-point methods (90C51) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Unnamed Item
- An adaptive model order reduction by proper snapshot selection for nonlinear dynamical problems
- Updating incomplete factorization preconditioners for model order reduction
- Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method
- Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems
- Multiple scale eigendeformation-based reduced order homogenization
- A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems
- Choice of initial guess in iterative solution of series of systems arising in fluid flow simulations
- Feasible direction interior-point technique for nonlinear optimization
- On the formulation and theory of the Newton interior-point method for nonlinear programming
- Iterative accelerating algorithms with Krylov subspaces for the solution to large-scale nonlinear problems
- Reduced order modeling strategies for computational multiscale fracture
- POD-DEIM model order reduction for strain-softening viscoplasticity
- Adaptive model reduction technique for large-scale dynamical systems with frequency-dependent damping
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- A class of globally convergent optimization methods based on conservative convex separable approximations
- An interior-point algorithm for the minimization arising from 3D contact problems with friction
- The localized reduced basis multiscale method for two-phase flows in porous media
- Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization
- An adaptive model order reduction with Quasi-Newton method for nonlinear dynamical problems
- An interior-point algorithm for elastoplasticity
- A FETI‐preconditioned conjugate gradient method for large‐scale stochastic finite element problems
- The method of moving asymptotes—a new method for structural optimization
- An Interior Point Algorithm for Large-Scale Nonlinear Programming
- Why a Pure Primal Newton Barrier Step May be Infeasible
- Dynamic Iteration Using Reduced Order Models: A Method for Simulation of Large Scale Modular Systems
- Accelerating iterative solution methods using reduced‐order models as solution predictors
- Numerical optimization. Theoretical and practical aspects. Transl. from the French
- A trust region method based on interior point techniques for nonlinear programming.
- A reduced order model-based preconditioner for the efficient solution of transient diffusion equations
Related Items (1)
This page was built for publication: Model order reduction with Galerkin projection applied to nonlinear optimization with infeasible primal-dual interior point method