J. Haslinger is a Professor in the Department of Physics of Metals at Charles University in Prague. He is the author or co-author of five monographs and over 110 publications in scientific journals. His research interests include the approximation of elliptic equations and inequalities, contact mechanics, nonsmooth analysis, approximation of differentialinclusions, and shape and material optimization. R. A. E. Makinen is a Professor in the Department of Mathematical Information Technology at the University of Jyvaskyla in Finland. He has also acted as a modeling specialist at Numerola Oy (Inc.). Professor Makinen is the author or co-author of over 50 publications in scientific journals and conference proceedings. His research interests include structural optimization, especially shape optimization; numerical solution of partial differential equations; and numerical software.

• PrefaceNotationIntroductionPart I: Mathematical aspects of sizing and shape optimization. Chapter 1: Why the mathematical analysis is importantChapter 2: A mathematical introduction to sizing and shape optimizationPart II: Computational aspects of sizing and shape optimization. Chapter 3: Sensitivity analysisChapter 4: Numerical minimization methodsChapter 5: On automatic differentiation of computer programsChapter 6: Fictitious domain methods in shape optimizationPart III: Applications. Chapter 7: Applications in elasticityChapter 8: Fluid mechanical and multidisciplinary applicationsAppendix A: Weak formulations and approximations of elliptic equations and inequalitiesAppendix B: On parametrizations of shapes and mesh generationBibliographyIndex

J. Haslinger is a Professor in the Department of Physics of Metals at Charles University in Prague. He is the author or co-author of five monographs and over 110 publications in scientific journals. His research interests include the approximation of elliptic equations and inequalities, contact mechanics, nonsmooth analysis, approximation of differentialinclusions, and shape and material optimization. R. A. E. Makinen is a Professor in the Department of Mathematical Information Technology at the University of Jyvaskyla in Finland. He has also acted as a modeling specialist at Numerola Oy (Inc.). Professor Makinen is the author or co-author of over 50 publications in scientific journals and conference proceedings. His research interests include structural optimization, especially shape optimization; numerical solution of partial differential equations; and numerical software.

• PrefaceNotationIntroductionPart I: Mathematical aspects of sizing and shape optimization. Chapter 1: Why the mathematical analysis is importantChapter 2: A mathematical introduction to sizing and shape optimizationPart II: Computational aspects of sizing and shape optimization. Chapter 3: Sensitivity analysisChapter 4: Numerical minimization methodsChapter 5: On automatic differentiation of computer programsChapter 6: Fictitious domain methods in shape optimizationPart III: Applications. Chapter 7: Applications in elasticityChapter 8: Fluid mechanical and multidisciplinary applicationsAppendix A: Weak formulations and approximations of elliptic equations and inequalitiesAppendix B: On parametrizations of shapes and mesh generationBibliographyIndex

J. Haslinger is a Professor in the Department of Physics of Metals at Charles University in Prague. He is the author or co-author of five monographs and over 110 publications in scientific journals. His research interests include the approximation of elliptic equations and inequalities, contact mechanics, nonsmooth analysis, approximation of differentialinclusions, and shape and material optimization. R. A. E. Makinen is a Professor in the Department of Mathematical Information Technology at the University of Jyvaskyla in Finland. He has also acted as a modeling specialist at Numerola Oy (Inc.). Professor Makinen is the author or co-author of over 50 publications in scientific journals and conference proceedings. His research interests include structural optimization, especially shape optimization; numerical solution of partial differential equations; and numerical software.

• PrefaceNotationIntroductionPart I: Mathematical aspects of sizing and shape optimization. Chapter 1: Why the mathematical analysis is importantChapter 2: A mathematical introduction to sizing and shape optimizationPart II: Computational aspects of sizing and shape optimization. Chapter 3: Sensitivity analysisChapter 4: Numerical minimization methodsChapter 5: On automatic differentiation of computer programsChapter 6: Fictitious domain methods in shape optimizationPart III: Applications. Chapter 7: Applications in elasticityChapter 8: Fluid mechanical and multidisciplinary applicationsAppendix A: Weak formulations and approximations of elliptic equations and inequalitiesAppendix B: On parametrizations of shapes and mesh generationBibliographyIndex