03350nam a22006255i 4500 978-981-97-5710-7 DE-He213 20251030113256.0 cr nn 008mamaa 241101s2024 si | s |||| 0|eng d 9789819757107 978-981-97-5710-7 10.1007/978-981-97-5710-7 doi QA297-299.4 PBKS bicssc MAT041000 bisacsh PBKS thema Jeribi, Aref. author. aut http://id.loc.gov/vocabulary/relators/aut 86945 Problems in Finite Element Methods [electronic resource] : Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems / by Aref Jeribi. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. XIX, 749 p. 30 illus., 15 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Infosys Science Foundation Series in Mathematical Sciences, 2364-4044 Chapter 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. This 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. Numerical analysis. Fluid mechanics. Differential equations. Thermodynamics. 66400 Heat engineering. 66401 Heat transfer. 66402 Mass transfer. 66403 Statistical Mechanics. 69101 Numerical Analysis. Engineering Fluid Dynamics. Differential Equations. Engineering Thermodynamics, Heat and Mass Transfer. 66405 Statistical Mechanics. 69101 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819757091 Printed edition: 9789819757114 Printed edition: 9789819757121 Infosys Science Foundation Series in Mathematical Sciences, 2364-4044 69688 https://doi.org/10.1007/978-981-97-5710-7 ZDB-2-SMA ZDB-2-SXMS 64671 64671