Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method

DOI10.21136/AM.1990.104407zbMath0731.65091OpenAlexW2728372578MaRDI QIDQ3357482

Ivan Hlaváček

Publication date: 1990

Full work available at URL: https://eudml.org/doc/15628

zbMATH Keywords

convergencedual variational formulationdomain optimizationshape optimal designaxisymmetric second order elliptic problemdual finite element methoddual approximate optimal design finite element problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (1)

On the numerical solution of axisymmetric domain optimization problems

Cites Work

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• Optimization of the domain in elliptic problems by the dual finite element method
• Shape optimization in two-dimensional elasticity by the dual finite element method
• Dual finite element analysis of three‐dimensional axisymmetric elliptic problems. Part I

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