Nonlocal Integral Equation Continuum Models is popular PDF and ePub book, written by Marta D'Elia in 2024-09-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlocal Integral Equation Continuum Models can be Read Online from any device for your convenience.
Nonlocal Integral Equation Continuum Models Book PDF Summary
The book presents the state of the art of nonlocal modeling and discretization and provides a practical introduction to nonlocal modeling for readers who are not familiar with such models. These models have recently become a viable alternative to classical partial differential equations when the latter are unable to capture effects such as discontinuities and multiscale behavior in a system of interest. Because of their integral nature, nonlocal operators allow for the relaxation of regularity requirements on the solution and thus allow for the capture of multiscale effects, the result of which is their successful use in many scientific and engineering applications. The book also provides a thorough analysis and numerical treatment of nonstandard nonlocal models, focusing on both well-known and nonstandard interaction neighborhoods. In addition, the book delivers an extensive practical treatment of the implementation of discretization strategies via finite element methods. Numerous figures are provided as concrete examples to illustrate both the analytic and computational results. Nonlocal Integral Equation Continuum Models: Nonstandard Interaction Neighborhoods and Finite Element Discretizations is intended for mathematical and application researchers interested in alternatives to using partial differential equation models that better describe the phenomena they are interested in. The book will also be of use to computational scientists and engineers who need to make sense of how to use available software, improve existing software, or develop new software tailored to their application interests.
Detail Book of Nonlocal Integral Equation Continuum Models PDF
- Author : Marta D'Elia
- Release : 12 September 2024
- Publisher : SIAM
- ISBN : 9781611978056
- Genre : Mathematics
- Total Page : 187 pages
- Language : English
- PDF File Size : 8,6 Mb
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