02973nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001600153072001700169072002300186072001600209100007500225245015600300250001800456264007200474300006500546336002600611337002600637338003600663347002400699490007500723505022000798520077701018650002401795650002101819650002801840650002001868650002201888650001901910650001901929650002701948650002401975650003201999650002802031650005602059650002702115710003402142773002602176776003602202776003602238776003602274830007502310856004602385978-981-97-5710-7DE-He21320251030113256.0cr nn 008mamaa241101s2024    si |    s    |||| 0|eng d  a97898197571077 a10.1007/978-981-97-5710-72doi 4aQA297-299.4 7aPBKS2bicssc 7aMAT0410002bisacsh 7aPBKS2thema1 aJeribi, Aref.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aProblems in Finite Element Methodsh[electronic resource] :bAubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems /cby Aref Jeribi.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aXIX, 749 p. 30 illus., 15 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aInfosys Science Foundation Series in Mathematical Sciences,x2364-40440 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.  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. 0aNumerical analysis. 0aFluid mechanics. 0aDifferential equations. 0aThermodynamics. 0aHeat engineering. 0aHeat transfer. 0aMass transfer. 0aStatistical Mechanics.14aNumerical Analysis.24aEngineering Fluid Dynamics.24aDifferential Equations.24aEngineering Thermodynamics, Heat and Mass Transfer.24aStatistical Mechanics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981975709108iPrinted edition:z978981975711408iPrinted edition:z9789819757121 0aInfosys Science Foundation Series in Mathematical Sciences,x2364-404440uhttps://doi.org/10.1007/978-981-97-5710-7