Shape optimal design problem with convective and radiative heat transfer: Analysis and implementation

DOI10.1023/A:1017543529204zbMath1001.49041OpenAlexW1597885517MaRDI QIDQ5947264

Jean-Paul Vila, Denise Chenais, Jérôme Monnier

Publication date: 16 October 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017543529204

zbMATH Keywords

elliptic partial differential equationsoptimal designfinite-element methodcost function differentialgradient-type algorithmnonlinear integro-differential systempotential flowradiative heat transfershape sensitivity

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items

The application of adjoint method for shape optimization in Stokes-Oseen flow, The application of shape gradient for the incompressible fluid in shape optimization, Shape optimization in the Navier‐Stokes flow with thermal effects, ANALYSIS AND COMPARISON OF TWO APPROXIMATION SCHEMES FOR A RADIATIVE TRANSFER SYSTEM, An iterative method for shape optimal design of Stokes-Brinkman equations with heat transfer model, Shape optimization for an obstacle located in incompressible Boussinesq flow

Cites Work

• Design sensitivity analysis of structural systems
• Équation de la chaleur et réflections multiples. (Heat equation with multiple reflections)
• Temperature-dependent heat sources or sinks in a stagnation point flow
• CONVECTIVE AND RADIATIVE THERMAL TRANSFER WITH MULTIPLE REFLECTIONS: ANALYSIS AND APPROXIMATION BY A FINITE ELEMENT METHOD
• Shape sensitivities in a Navier‐Stokes flow with convective and grey bodies radiative thermal transfer
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