Least squares methods for optimal shape design problems

DOI10.1016/0898-1221(95)00074-9zbMath0838.65125OpenAlexW2055378644MaRDI QIDQ1903772

D. M. Bedivan, George J. Fix

Publication date: 3 June 1996

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

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00074-9

zbMATH Keywords

numerical resultsleast squares methodoptimal shape designoptimal design problemsemiconductor device

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Technical applications of optics and electromagnetic theory (78A55) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items

Error estimates for least squares finite element methods ⋮ An extension theorem for the space \(H_{\text{div}}\) ⋮ Least-squares methods for optimal control ⋮ Existence of a solution for complete least squares optimal shape problems ⋮ Analysis of a least squares finite element method for the circular arch problem. ⋮ Least-squares finite element approximations to the Timoshenko beam problem. ⋮ Least-Squares Methods for Navier-Stokes Boundary Control Problems ⋮ Least-squares finite-element methods for optimization and control problems for the Stokes equations ⋮ A two-stage least-squares finite element method for the stress-pressure-displacement elasticity equations ⋮ A least-squares/penalty method for distributed optimal control problems for Stokes equations

Cites Work

• On finite element methods of the least squares type
• On some oblique derivative problems arising in the fluid flow in porous media. A theoretical and numerical approach
• Accuracy of least-squares methods for the Navier--Stokes equations
• A Galerkin finite element method for an optimal shape design semiconductor problem
• The Method of Christopherson for Solving Free Boundary Problems for Infinite Journal Bearings by Means of Finite Differences
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