Heterogeneous Media : Local Fields, Effective Properties, and Wave Propagation /
Heterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous...
| Main Authors: | , |
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| Format: | software, multimedia |
| Language: | eng |
| Published: |
Amsterdam : Elsevier,
2020
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| Subjects: | |
| Online Access: | https://www.sciencedirect.com/book/9780128198803 |
| _version_ | 1796764888926781440 |
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| author | Kanaun, Sergey, author 651499 ScienceDirect (Online service) 7722 |
| author_facet | Kanaun, Sergey, author 651499 ScienceDirect (Online service) 7722 |
| author_sort | Kanaun, Sergey, author 651499 |
| collection | OCEAN |
| description | Heterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous media, listing their strengths and weaknesses, before moving onto an introduction of static and dynamic green functions for homogeneous media. Volume and surface integral equations for fields in heterogenous media are discussed next, followed by an overview of explicit formulas for numerical calculations of volume and surface potentials. The book then segues into Gaussian functions for discretization of volume integral equations for fields in heterogenous media, static problems for a homogeneous host medium with heterogeneous inclusions, volume integral equations for scattering problems, and concludes with a chapter outlining solutions to homogenization problems and calculations of effective properties of heterogeneous media. The book concludes with multiple appendices that feature the texts of basic programs for solving volume integral equations as written in Mathematica. |
| first_indexed | 2024-03-05T17:16:28Z |
| format | software, multimedia |
| id | KOHA-OAI-TEST:603953 |
| institution | Universiti Teknologi Malaysia - OCEAN |
| language | eng |
| last_indexed | 2024-03-05T17:16:28Z |
| publishDate | 2020 |
| publisher | Amsterdam : Elsevier, |
| record_format | dspace |
| spelling | KOHA-OAI-TEST:6039532023-10-19T00:55:39ZHeterogeneous Media : Local Fields, Effective Properties, and Wave Propagation / Kanaun, Sergey, author 651499 ScienceDirect (Online service) 7722 software, multimedia Electronic books 631902 Amsterdam : Elsevier,2020©2021engHeterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous media, listing their strengths and weaknesses, before moving onto an introduction of static and dynamic green functions for homogeneous media. Volume and surface integral equations for fields in heterogenous media are discussed next, followed by an overview of explicit formulas for numerical calculations of volume and surface potentials. The book then segues into Gaussian functions for discretization of volume integral equations for fields in heterogenous media, static problems for a homogeneous host medium with heterogeneous inclusions, volume integral equations for scattering problems, and concludes with a chapter outlining solutions to homogenization problems and calculations of effective properties of heterogeneous media. The book concludes with multiple appendices that feature the texts of basic programs for solving volume integral equations as written in Mathematica.Includes index.1 - Introduction -- 2 - Homogeneous media with external and internal field sources -- 3 - Volume and surface integral equations for physical fields in heterogeneous media -- 4 - Numerical calculation of volume and surface potentials -- 5 - Numerical solution of volume integral equations for static fields in heterogeneous media -- 6 - Cracks in heterogeneous media -- 7 - Time-harmonic fields in heterogeneous media -- 8 - Quasistatic crack growth in heterogeneous media -- 9 - The homogenization problem -- IndexHeterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous media, listing their strengths and weaknesses, before moving onto an introduction of static and dynamic green functions for homogeneous media. Volume and surface integral equations for fields in heterogenous media are discussed next, followed by an overview of explicit formulas for numerical calculations of volume and surface potentials. The book then segues into Gaussian functions for discretization of volume integral equations for fields in heterogenous media, static problems for a homogeneous host medium with heterogeneous inclusions, volume integral equations for scattering problems, and concludes with a chapter outlining solutions to homogenization problems and calculations of effective properties of heterogeneous media. The book concludes with multiple appendices that feature the texts of basic programs for solving volume integral equations as written in Mathematica.Materialshttps://www.sciencedirect.com/book/9780128198803URN:ISBN:9780128198803Remote access restricted to users with a valid UTM ID via VPN. |
| spellingShingle | Materials Kanaun, Sergey, author 651499 ScienceDirect (Online service) 7722 Heterogeneous Media : Local Fields, Effective Properties, and Wave Propagation / |
| title | Heterogeneous Media : Local Fields, Effective Properties, and Wave Propagation / |
| title_full | Heterogeneous Media : Local Fields, Effective Properties, and Wave Propagation / |
| title_fullStr | Heterogeneous Media : Local Fields, Effective Properties, and Wave Propagation / |
| title_full_unstemmed | Heterogeneous Media : Local Fields, Effective Properties, and Wave Propagation / |
| title_short | Heterogeneous Media : Local Fields, Effective Properties, and Wave Propagation / |
| title_sort | heterogeneous media local fields effective properties and wave propagation |
| topic | Materials |
| url | https://www.sciencedirect.com/book/9780128198803 |
| work_keys_str_mv | AT kanaunsergeyauthor651499 heterogeneousmedialocalfieldseffectivepropertiesandwavepropagation AT sciencedirectonlineservice7722 heterogeneousmedialocalfieldseffectivepropertiesandwavepropagation |