caa a22 4500 463244028 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00158-006-0085-z doi (NATIONALLICENCE)springer-10.1007/s00158-006-0085-z On two formulations of an optimal insulation problem [Elektronische Daten] [E. Munoz, G. Allaire, M. Bendsøe] Two formulations for the design of the optimal insulation of a domain are investigated by computational means. The results illustrate the similarities and differences that result from the two approaches. One method is in the format of a topology design problem of distributing insulating material in a domain surrounding a non-design domain that is heated by a given heat source; this problem is treated in both a relaxed format and a penalized material format. The other approach deals with the optimal distribution of a thin layer of insulation on the boundary of the non-design domain; this problem is more in the realm of shape design, or rather, it is similar to optimal design of support conditions for structures. In both cases, mathematical programming is used, but for the shape design case, it is applied to the non-linear analysis problems that arise when the optimal design is explicitly solved for. Springer-Verlag Berlin Heidelberg, 2007 Insulation nationallicence Topology optimization nationallicence Shape design nationallicence Munoz E. Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau Cedex, France aut Allaire G. Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau Cedex, France aut Bendsøe M. Department of Mathematics, Technical University of Denmark, 2800, Lyngby, Denmark aut Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 363-373 1615-147X 33:4-5<363 2007 33 158 https://doi.org/10.1007/s00158-006-0085-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0085-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Munoz E. Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau Cedex, France aut NATIONALLICENCE 700 1- Allaire G. Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau Cedex, France aut NATIONALLICENCE 700 1- Bendsøe M. Department of Mathematics, Technical University of Denmark, 2800, Lyngby, Denmark aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 363-373 1615-147X 33:4-5<363 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer