An optimization framework for the computation of time-periodic solutions of partial differential equations

DOI10.1007/s10013-018-0314-yzbMath1407.65298OpenAlexW2898609816MaRDI QIDQ1633785

Y. Aharonov

Publication date: 20 December 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-018-0314-y

zbMATH Keywords

optimizationperiodic solutionshooting approach

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence theories for optimal control problems involving partial differential equations (49J20) Positive solutions to PDEs (35B09) Numerical solutions to abstract evolution equations (65J08)

Related Items (4)

Error estimation and adaptivity for differential equations with multiple scales in time ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems ⋮ An averaging scheme for the efficient approximation of time-periodic flow problems

Cites Work

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• Mathematical modeling and simulation of the evolution of plaques in blood vessels
• On bifurcating time-periodic flow of a Navier-Stokes liquid past a cylinder
• Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates
• Computation of time-periodic solutions of the Benjamin-Ono equation
• Existence of periodic solutions of the Navier-Stokes equations
• A fully discrete adjoint method for optimization of flow problems on deforming domains with time-periodicity constraints
• Third order convergent time discretization for parabolic optimal control problems with control constraints
• Goal-oriented error estimation for the fractional step theta scheme
• Numerical Methods for Time-Periodic Solutions of Nonlinear Parabolic Boundary Value Problems
• Accelerating cyclic plasticity simulations using an adaptive wavelet transformation based multitime scaling method
• Cyclic steady states of treaded rolling bodies
• Accelerated time integrator for multiple time scale homogenization
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems
• Optimization with PDE Constraints
• The Existence, Computation, and Number of Solutions of Periodic Parabolic Problems
• On the Strongly Damped Wave Equation: $u_{tt} - \Delta u - \Delta u_t + f(u) = 0$
• Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
• Efficient numerical solution of parabolic optimization problems by finite element methods

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