Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14--20, 2021 (hybrid meeting)
From MaRDI portal
Publication:2131202
DOI10.4171/OWR/2021/9zbMath1487.00039OpenAlexW4220770990WikidataQ114021407 ScholiaQ114021407MaRDI QIDQ2131202
No author found.
Publication date: 25 April 2022
Published in: Oberwolfach Reports (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/owr/2021/9
Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Proceedings of conferences of miscellaneous specific interest (00B25) Programming in abstract spaces (90C48) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Collections of abstracts of lectures (00B05) Optimization of shapes other than minimal surfaces (49Q10) Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control (49-06) Existence theories for optimal control problems involving partial differential equations (49J20) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06) Inverse problems in optimal control (49N45) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21) PDEs in connection with control and optimization (35Q93) Numerical methods in optimal control (49Mxx) PDEs with measure (35R06) PDEs in connection with mathematical programming (35Q90)
Cites Work
- Weak differentiability of scalar hysteresis operators
- Optimal switching for hybrid semilinear evolutions
- Hölder-estimates for non-autonomous parabolic problems with rough data
- Relaxation methods for mixed-integer optimal control of partial differential equations
- A Riemannian view on shape optimization
- The turnpike property in finite-dimensional nonlinear optimal control
- Discrete maximal parabolic regularity for Galerkin finite element methods
- Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions
- Strichartz estimates for the wave equation on manifolds with boundary
- Well-posedness theory for electromagnetic obstacle problems
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems
- Covergence rates for the approximations of the solutions to algebraic Riccati equations with unbounded coefficients: Case of analytic semigroups
- Stochastic convex programming: basic duality
- Stochastic convex programming: Kuhn-Tucker conditions
- Stochastic convex programming: Singular multipliers and extended duality, singular multipliers and duality
- Existence theorems for plasticity problems
- Contrôle dans les inéquations variationelles elliptiques
- How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
- Global exact controllability of a class of quasilinear hyperbolic systems
- Further results on controllability of recurrent neural networks
- Complete controllability of continuous-time recurrent neural networks
- Constrained exact controllability of semilinear systems
- A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints
- Second order optimality conditions for optimal control of quasilinear parabolic equations
- Optimal control of a non-smooth semilinear elliptic equation
- Directional differentiability for elliptic quasi-variational inequalities of obstacle type
- Exact controllability for semilinear wave equations in one space dimension
- The gradient theory of phase transitions and the minimal interface criterion
- Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method
- Analysis and optimal control of some quasilinear parabolic equations
- Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system
- Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials
- Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints
- Generalized derivatives for the solution operator of the obstacle problem
- A fully space-time least-squares method for the unsteady Navier-Stokes system
- Learning an optimal feedback operator semiglobally stabilizing semilinear parabolic equations
- Neural network based nonlinear observers
- A least-squares formulation for the approximation of controls for the Stokes system
- Sparse initial data identification for parabolic PDE and its finite element approximations
- A proposal on machine learning via dynamical systems
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- Overview of the geometries of shape spaces and diffeomorphism groups
- Maximum-likelihood recursive nonlinear filtering
- A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
- Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic Equations
- On linear-quadratic elliptic control problems of semi-infinite type
- A duality-based approach to elliptic control problems in non-reflexive Banach spaces
- Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics
- Conditional Markov Processes
- Variational Analysis in Sobolev andBVSpaces
- Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
- Analysis of the HUM Control Operator and Exact Controllability for Semilinear Waves in Uniform Time
- Global existence for energy critical waves in 3-d domains
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- Global existence for energy critical waves in 3-D domains: Neumann boundary conditions
- A note on the approximation of free boundaries by finite element methods
- Control of an Elliptic Problem with Pointwise State Constraints
- On generalized differentials and subdifferentials of Lipschitz vector-valued functions
- Numerical Approximations of Algebraic Riccati Equations for Abstract Systems Modelled by Analytic Semigroups, and Applications
- Convergence Rates for the Feedback Operators Arising in the Linear Quadratic Regulator Problem Governed by Parabolic Equations
- A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
- Stochastic Convex Programming: Relatively Complete Recourse and Induced Feasibility
- Monotone Operators and the Proximal Point Algorithm
- Équations d'évolution avec non linéarité logarithmique
- Receding horizon optimal control for infinite dimensional systems
- Control strategies for the Fokker−Planck equation
- Hölder estimates for parabolic operators on domains with rough boundary
- On the Turnpike Phenomenon for Optimal Boundary Control Problems with Hyperbolic Systems
- Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications
- Topology optimization of fluids in Stokes flow
- Viscosity Solutions of Minimization Problems
- Distributed and boundary model predictive control for the heat equation
- Numerical null controllability of the heat equation through a least squares and variational approach
- First and second order optimality conditions for the control of Fokker-Planck equations
- Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation
- Approximation of null controls for semilinear heat equations using a least-squares approach
- Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth
- Constructive Exact Control of Semilinear 1D Wave Equations by a Least-Squares Approach
- Numerical analysis of sparse initial data identification for parabolic problems
- Hyperbolic Maxwell variational inequalities of the second kind
- Epi-Regularization of Risk Measures
- An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures
- Optimality Conditions for Convex Stochastic Optimization Problems in Banach Spaces with Almost Sure State Constraints
- An Inexact Bundle Algorithm for Nonconvex Nonsmooth Minimization in Hilbert Space
- Computation of a Bouligand Generalized Derivative for the Solution Operator of the Obstacle Problem
- A Stochastic Semismooth Newton Method for Nonsmooth Nonconvex Optimization
- On the Differential Equations Satisfied by Conditional Probablitity Densities of Markov Processes, with Applications
- Optimal distributed control of a diffuse interface model of tumor growth
- Breaking the Curse of Dimensionality with Convex Neural Networks
- A discrete-time optimal filtering approach for non-linear systems as a stable discretization of the Mortensen observer
- ℓ1 Regularization in Infinite Dimensional Feature Spaces
- Limits of Solutions ofp-Laplace Equations aspGoes to Infinity and Related Variational Problems
- New regularity results and improved error estimates for optimal control problems with state constraints
- On the optimal filtering of diffusion processes
- Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems
- Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values
- Optimal control of stochastic phase-field models related to tumor growth
- Set-valued analysis
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Approximation by superpositions of a sigmoidal function
- Constrained exact boundary controllability of a semilinear model for pipeline gas flow
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14--20, 2021 (hybrid meeting)
