A shape optimization approach for a class of free boundary problems of Bernoulli type.

DOI10.1007/s10492-013-0010-xzbMath1274.35062OpenAlexW1965160629MaRDI QIDQ351963

Abdelkrim Chakib, Abdeljalil Nachaoui, Abdesslam Boulkhemair

Publication date: 10 July 2013

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

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143163

zbMATH Keywords

diffeomorphismfree boundary problemshape optimizationoptimal solutionexterior Bernoulli problemstate problemuniform Poincaré inequalityuniform trace theoremuniform tubular neighbourhood

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems ⋮ A fuzzy particle swarm optimization method with application to shape design problem ⋮ On a numerical shape optimization approach for a class of free boundary problems ⋮ A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional

Cites Work

• On the existence of a solution in a domain identification problem
• Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
• An embedding domain approach for a class of 2-d shape optimization problems: Mathematical analysis.
• Variation and optimization of formes. A geometric analysis
• Variational approach to shape derivatives for a class of Bernoulli problems
• An Extremal Problem Involving Current Flow Through Distributed Resistance
• On the Uniform Poincaré Inequality
• A Note on Harmonic Functions and a Hydrodynamical Application
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