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020 _a9783031563690
_9978-3-031-56369-0
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072 7 _aTGB
_2bicssc
072 7 _aTEC009070
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072 7 _aTGB
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082 0 4 _a621
_223
100 1 _aBielak, Jacobo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Finite Element Method
_h[electronic resource] :
_bA Primer /
_cby Jacobo Bielak.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXIII, 288 p. 150 illus., 39 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart I Fundamental Concepts, Implementation, and Applications -- Chapter 1 Prototype One-Dimensional Boundary-Value Problem (BVP) - Governing Differential Equation and Variational Formulations with Examples -- Chapter 2 Finite Elements for the Prototype One-Dimensional BVP -- Chapter 3 Prototype Two-Dimensional (2D) Problem - Variational Formulations.-Chapter 4 Finite Elements for the Model Two-Dimensional BVP -- Part II Extensions -- Chapter 5 Problems With Singularities -- Chapter 6 Three-Dimensional Boundary-Value Problems -- Chapter 7 Initial Boundary-Value Problems -- Chapter 8 Spectral Elements -- Chapter 9 One-Dimensional Fourth-Order Boundary Value Problems.
520 _aThis textbook introduces the widely used numerical technique FEM in various engineering disciplines for the analysis of structures, heat transfer, fluid dynamics, and other physical phenomena. Appropriate for interested senior undergraduate engineering students and beginner graduate students in a one-semester introductory course, this book provides a clear understanding of the main issues in FEM. Looking at the FEM as a variational approximation method that uses localized piecewise polynomial basis functions for the solution of boundary-value problems (BVP) and initial boundary-value problems (IBVP), the book uses examples to apply this technique to various problems of physical interest, e.g., elasticity, heat conduction, advection-diffusion, etc. One-dimensional (1D) problems are presented first to make it easier to grasp the fundamental concepts associated with the formulation and application of the FEM; then, the methodology is extended to more challenging 2D and 3D problems that involve somewhat greater mathematical complexity. For simplicity, the book deals with problems that are specified in terms of a single set of state variables, such as displacements or temperature. Finally, due to the introductory nature of this text, only linear problems are considered.
541 _fUABC ;
_cPerpetuidad
650 0 _aMechanical engineering.
650 0 _aCivil engineering.
650 0 _aElectrical engineering.
650 0 _aNumerical analysis.
650 0 _aEngineering mathematics.
650 0 _aEngineering
_xData processing.
650 1 4 _aMechanical Engineering.
650 2 4 _aCivil Engineering.
650 2 4 _aElectrical and Electronic Engineering.
650 2 4 _aNumerical Analysis.
650 2 4 _aMathematical and Computational Engineering Applications.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031563683
776 0 8 _iPrinted edition:
_z9783031563706
776 0 8 _iPrinted edition:
_z9783031563713
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-56369-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cLIBRO_ELEC
999 _c275406
_d275405