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020 _a9789819757107
_9978-981-97-5710-7
024 7 _a10.1007/978-981-97-5710-7
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT041000
_2bisacsh
072 7 _aPBKS
_2thema
100 1 _aJeribi, Aref.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986945
245 1 0 _aProblems in Finite Element Methods
_h[electronic resource] :
_bAubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems /
_cby Aref Jeribi.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXIX, 749 p. 30 illus., 15 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInfosys Science Foundation Series in Mathematical Sciences,
_x2364-4044
505 0 _aChapter 1 Introduction -- Chapter 2 Fundamentals -- Chapter 3 Variational Formulation of Boundary Problems -- Chapter 4 Introduction to Finite Elements -- Chapter 5 Non-conforming Methods -- Chapter 6 Nodal Methods.
520 _aThis book discusses major topics and problems in finite element methods. It is targeted to graduate students and researchers in applied mathematics, physics, and engineering, wishing to learn and familiarize themselves with finite element theory. The book describes the nodal method for squares or rectangles and triangles, as well as an increase of the error between exact solution and approximate solution. It discusses an approximation of positive symmetric first-order systems in the Friedrichs sense by finite element methods. In addition, the book also explains the continuous and discontinuous approximation methods, adapted to the structure of the transport equation, leading to linear systems of quasi-explicit resolution, and therefore commonly used in practice.
650 0 _aNumerical analysis.
650 0 _aFluid mechanics.
650 0 _aDifferential equations.
650 0 _aThermodynamics.
_966400
650 0 _aHeat engineering.
_966401
650 0 _aHeat transfer.
_966402
650 0 _aMass transfer.
_966403
650 0 _aStatistical Mechanics.
_969101
650 1 4 _aNumerical Analysis.
650 2 4 _aEngineering Fluid Dynamics.
650 2 4 _aDifferential Equations.
650 2 4 _aEngineering Thermodynamics, Heat and Mass Transfer.
_966405
650 2 4 _aStatistical Mechanics.
_969101
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819757091
776 0 8 _iPrinted edition:
_z9789819757114
776 0 8 _iPrinted edition:
_z9789819757121
830 0 _aInfosys Science Foundation Series in Mathematical Sciences,
_x2364-4044
_969688
856 4 0 _uhttps://doi.org/10.1007/978-981-97-5710-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c64671
_d64671