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The cell method : a purely algebraic computational method in physics and engineering /
The Cell Method (CM) is a computational tool that maintains criticalmultidimensional attributes of physical phenomena in analysis. Thisinformation is neglected in the differential formulations of the classicalapproaches of finite element, boundary element, finite volume, and finite difference analys...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Momentum Press,
©2014.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn870904465 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 082 | 0 | 4 | |a 511.6 |a 511/.6 |a 530.1/55353 |2 22 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Ferretti, Elena. | |
| 245 | 1 | 4 | |a The cell method : |b a purely algebraic computational method in physics and engineering / |c Elena Ferretti. |
| 246 | 3 | 0 | |a Purely algebraic computational method in physics and engineering |
| 260 | |a New York, NY : |b Momentum Press, |c ©2014. | ||
| 300 | |a 1 online resource (1 volume) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 588 | 0 | |a Online resource; title from title page (Safari, viewed February 17, 2014). | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a The Cell Method (CM) is a computational tool that maintains criticalmultidimensional attributes of physical phenomena in analysis. Thisinformation is neglected in the differential formulations of the classicalapproaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilitiesand spurious results. This book highlights the central theoretical concepts of the CM thatpreserve a more accurate and precise representation of the geometricand topological features of variables for practical problem solving. Important applications occur in. | ||
| 505 | 0 | |a 1. A comparison between algebraic and differential formulations under the geometrical and topological viewpoints -- 1.1 Relationship between how to compute limits and numerical formulations in computational physics -- 1.2 Field and global variables -- 1.3 Set functions in physics -- 1.4 A comparison between the cell method and the discrete methods. | |
| 505 | 8 | |a 2. Algebra and the geometric interpretation of vector spaces -- 2.1 The exterior algebra -- 2.2 The geometric algebra. | |
| 505 | 8 | |a 3. Algebraic topology as a tool for treating global variables with the CM -- 3.1 Some notions of algebraic topology -- 3.2 Simplices and simplicial complexes -- 3.3 Faces and cofaces -- 3.4 Some notions of the graph theory -- 3.5 Boundaries, coboundaries, and the incidence matrices -- 3.6 Chains and cochains complexes, boundary and coboundary processes -- 3.7 Discrete p-forms -- 3.8 Inner and outer orientations of time elements. | |
| 505 | 8 | |a 4. Classification of the global variables and their relationships -- 4.1 Configuration, source, and energetic variables -- 4.2 The mathematical structure of the classification diagram -- 4.3 The incidence matrices of the two cell complexes in space domain -- 4.4 Primal and dual cell complexes in space/time domain and their incidence matrices. | |
| 505 | 8 | |a 5. The structure of the governing equations in the cell method -- 5.1 The role of the coboundary process in the algebraic formulation -- 5.2 How to compose the fundamental equation of a physical theory -- 5.3 Analogies in physics -- 5.4 Physical theories with reversible constitutive laws -- 5.5 The choice of primal and dual cell complexes in computation. | |
| 505 | 8 | |a 6. The problem of the spurious solutions in computational physics -- 6.1 Stability and instability of the numerical solution -- 6.2 The need for non-local models in quantum physics -- 6.3 Non-local computational models in differential formulation -- 6.3.1 Continuum mechanics -- 6.4 Algebraic non-locality of the CM. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 6 | |a Mathématiques de l'ingénieur. | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Engineering mathematics |2 fast | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 653 | |a Cell method | ||
| 653 | |a heterogeneous materials | ||
| 653 | |a non-local models | ||
| 653 | |a non-standard analysis | ||
| 653 | |a bialgebra | ||
| 653 | |a Clifford algebra | ||
| 653 | |a discrete formulations | ||
| 653 | |a fracture mechanics | ||
| 653 | |a electromagnetics | ||
| 653 | |a electrodynamics | ||
| 653 | |a solid mechanics | ||
| 653 | |a fluid mechanics | ||
| 653 | |a space-time continuum | ||
| 653 | |a numerical instabilities | ||
| 653 | |a topological features of variables | ||
| 653 | |a graph theory | ||
| 653 | |a coboundary process | ||
| 653 | |a finite element method | ||
| 653 | |a boundary element method | ||
| 653 | |a finite volume method | ||
| 653 | |a finite difference method | ||
| 776 | 0 | 8 | |i Print version: |z 1606506048 |z 9781606506042 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=690092 |z Texto completo |
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| 938 | |a Momentum Press |b NYMP |n 9781606506066 | ||
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| 994 | |a 92 |b IZTAP | ||