TY - BOOK AU - Jeribi,Aref ED - SpringerLink (Online service) TI - Problems in Finite Element Methods: Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems T2 - Infosys Science Foundation Series in Mathematical Sciences, SN - 9789819757107 AV - QA297-299.4 PY - 2024/// CY - Singapore PB - Springer Nature Singapore, Imprint: Springer KW - Numerical analysis KW - Fluid mechanics KW - Differential equations KW - Thermodynamics KW - Heat engineering KW - Heat transfer KW - Mass transfer KW - Statistical Mechanics KW - Numerical Analysis KW - Engineering Fluid Dynamics KW - Differential Equations KW - Engineering Thermodynamics, Heat and Mass Transfer N1 - 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 N2 - 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 UR - https://doi.org/10.1007/978-981-97-5710-7 ER -