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Problems in Finite Element Methods : Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems / / by Aref Jeribi



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Autore: Jeribi Aref Visualizza persona
Titolo: Problems in Finite Element Methods : Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems / / by Aref Jeribi Visualizza cluster
Pubblicazione: Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Edizione: 1st ed. 2024.
Descrizione fisica: 1 online resource (763 pages)
Disciplina: 620.00151535
Soggetto topico: Numerical analysis
Fluid mechanics
Differential equations
Thermodynamics
Heat engineering
Heat - Transmission
Mass transfer
Statistical mechanics
Numerical Analysis
Engineering Fluid Dynamics
Differential Equations
Engineering Thermodynamics, Heat and Mass Transfer
Statistical Mechanics
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Problems in Finite Element Methods  Visualizza cluster
ISBN: 9789819757107
981975710X
9789819757091
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910903793603321
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Serie: Infosys Science Foundation Series in Mathematical Sciences, . 2364-4044