Applications of Homogenization Theory to the Study of Mineralized

ISBN-13: 9781584887911 / Angielski / Twarda / 2020 / 283 str.

Robert P. Gilbert;Alexander Panchenko

Opis

Homogenization: Applications to the Biological and Physical Sciences provides a comprehensive introduction to this powerful tool of analysis. The book presents the theoretical foundations of homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. Building on this theory, the authors explore various types of application problems, including flow in porous media, sound propagation in fluid saturated solids, acoustics of granular material, computational multiscale finite element methods, and interfaces in viscoelastic materials. The book also discusses results in which G-limits have different structures from the initial operators.

O autorze

Robert P. Gilbert is a Unidel Professor of Mathematics at the University of Delaware and has authored numerous papers and articles for journals and conferences. He is also a founding editor of Complex Variables and Applicable Analysis and serves on many editorial boards. His current research involves the area of inverse problems, homogenization and the flow of viscous fluids. Ana Vasilic is an associate professor of mathematics at Northern New Mexico College. She has contributed to mathematical publications such as Mathematical and Computer Modeling and Applicable Analysis. Her research interests include applied analysis, partial differential equations, homogenization and multiscale problems in porous media. Sandra Klinge is an assistant professor in computational mechanics at Technische Universitat, Dortmund, Germany. She has written several articles for science journals and contributed to many books. Homogenization, modeling of polymers and multiscale modeling are among her research interests. Alex Panchenko is a professor of mathematics at Washington State University and has written for several publications, many of which are collaborations with Robert Gilbert. These include journals such as SIAM Journal Math. Analysis and Mathematical and Computer Modeling. Klaus Hackl is a professor of mechanics at Ruhr-Universitat Bochum, Germany and has made many scholarly contributions to various journals. His research interests include continuum mechanics, numerical mechanics, modeling of materials and multiscale problems.