Multigrid Optimization Schemes for Solving Bose–Einstein Condensate Control Problems

DOI10.1137/070686135zbMath1168.35420OpenAlexW2033505935MaRDI QIDQ3614829

Ulrich Hohenester, Alfio Borzì

Publication date: 10 March 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070686135

zbMATH Keywords

optimality conditionsmultigrid methodBose-Einstein condensatesGross-Pitaevskii equationnonlinear conjugate gradient methodoptimal control theoryCascadic acceleration

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Quantum optics (81V80) PDEs in connection with quantum mechanics (35Q40) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (9)

Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise ⋮ The Navier-Stokes-\(\alpha \beta\) equations as a platform for a spectral multigrid method to solve the Navier-Stokes equations ⋮ Optimal Control for Stochastic Nonlinear Schrödinger Equation on Graph ⋮ An explicit Chebyshev pseudospectral multigrid method for incompressible Navier-Stokes equations ⋮ Multigrid optimization for DNS-based optimal control in turbulent channel flows ⋮ \texttt{QUCON}: a fast Krylov-Newton code for dipole quantum control problems ⋮ Properties of a class of multilevel optimization algorithms for equality-constrained problems ⋮ Assessing the performance of an optimization-based multilevel method ⋮ Quantum optimal control using the adjoint method

This page was built for publication: Multigrid Optimization Schemes for Solving Bose–Einstein Condensate Control Problems