An optimization-based domain decomposition method for the Boussinesq equations

DOI10.1002/num.1043zbMath0999.76079OpenAlexW2106141634MaRDI QIDQ2778273

Hyesuk Kwon Lee

Publication date: 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1043

zbMATH Keywords

finite element methodnatural convectionBoussinesq equationsnonlinear least-squares problemexistence of solutionoptimality systemobjective functionalconstrained minimization problemoptimization-based domain decomposition method

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (2)

Least squares approach for the time-dependent nonlinear Stokes-Darcy flow ⋮ Approximation of the Stokes-Darcy system by optimization

Cites Work

• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• An optimization based domain decomposition method for partial differential equations
• On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations
• Error analysis for finite element methods for steady natural convection problems
• Finite Element Methods for Navier-Stokes Equations
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• Optimal Control of Thermally Convected Fluid Flows
• An optimization-based domain decomposition method for a nonlinear problem
• Solution of elliptic partial differential equations by an optimization-based domain decomposition method

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