Optimization-based additive decomposition of weakly coercive problems with applications

DOI10.1016/j.camwa.2015.12.032zbMath1443.49012OpenAlexW2274292815MaRDI QIDQ2007255

Denis Ridzal, Pavel B. Bochev

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.12.032

zbMATH Keywords

optimizationfinite elementsadditive decompositionOseen's equationsweakly coercive problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with linear operators (65J10) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (2)

An Optimization-Based Approach for Elliptic Problems with Interfaces ⋮ Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations

Cites Work

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• A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations
• Virtual and effective control for distributed systems and decomposition of everything
• An optimization based domain decomposition method for partial differential equations
• A decoupling algorithm for fluid-structure interaction problems based on optimization
• Analysis of an optimization-based atomistic-to-continuum coupling method for point defects
• The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems
• An Optimization-based Atomistic-to-Continuum Coupling Method
• Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations
• An Optimization-Based Approach for the Design of PDE Solution Algorithms
• Additive Operator Decomposition and Optimization–Based Reconnection with Applications
• New multigrid smoothers for the Oseen problem
• Finite Element Methods for Navier-Stokes Equations
• Numerical Approximation of Optimal Flow Control Problems by a Penalty Method: Error Estimates and Numerical Results
• An Optimization-Based Domain Decomposition Method for the Navier--Stokes Equations
• A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms
• Decomposition of energy spaces and applications
• Virtual control, replicas and decomposition of operators
• Solution of elliptic partial differential equations by an optimization-based domain decomposition method
• Heterogeneous coupling by virtual control methods

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