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010   $z9789819757091
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024 7 $a10.1007/978-981-97-5710-7
035   $a(MiAaPQ)EBC31749146
035   $a(Au-PeEL)EBL31749146
035   $a(CKB)36479504300041
035   $a(DE-He213)978-981-97-5710-7
035   $a(EXLCZ)9936479504300041
100   $a20241101d2024      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aProblems in Finite Element Methods $eAubin Nitsche?s Duality Process, Nodal Methods and Friedrichs Systems /$fby Aref Jeribi
205   $a1st ed. 2024.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024.
215   $a1 online resource (763 pages)
225 1 $aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044
311 08$a9789819757091 
311 08$a9819757096 
327   $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.
330   $aThis book discusses major topics and problems in finite element methods. It is targeted to graduate students and researchers in applied mathematics, physics, and engineering, wishing to learn and familiarize themselves with finite element theory. The book describes the nodal method for squares or rectangles and triangles, as well as an increase of the error between exact solution and approximate solution. It discusses an approximation of positive symmetric first-order systems in the Friedrichs sense by finite element methods. In addition, the book also explains the continuous and discontinuous approximation methods, adapted to the structure of the transport equation, leading to linear systems of quasi-explicit resolution, and therefore commonly used in practice.
410  0$aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044
606   $aNumerical analysis
606   $aFluid mechanics
606   $aDifferential equations
606   $aThermodynamics
606   $aHeat engineering
606   $aHeat$xTransmission
606   $aMass transfer
606   $aStatistical mechanics
606   $aNumerical Analysis
606   $aEngineering Fluid Dynamics
606   $aDifferential Equations
606   $aEngineering Thermodynamics, Heat and Mass Transfer
606   $aStatistical Mechanics
615  0$aNumerical analysis.
615  0$aFluid mechanics.
615  0$aDifferential equations.
615  0$aThermodynamics.
615  0$aHeat engineering.
615  0$aHeat$xTransmission.
615  0$aMass transfer.
615  0$aStatistical mechanics.
615 14$aNumerical Analysis.
615 24$aEngineering Fluid Dynamics.
615 24$aDifferential Equations.
615 24$aEngineering Thermodynamics, Heat and Mass Transfer.
615 24$aStatistical Mechanics.
676   $a620.00151535
700   $aJeribi$b Aref$0755592
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910903793603321
996   $aProblems in Finite Element Methods$94272914
997   $aUNINA