Problems in Finite Element Methods
Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Discusses an approximation of positive symmetric first-order systems in the Friedrichs sense by finite element methods Describes the nodal method for rectangles and triangles and the error between exact solution and approximate solution Targets applied mathematicians, engineers, scientists, and graduate students of mathematics and engineering
Autor*in
Aref Jeribi
Themen in »Problems in Finite Element Methods«
Finite Element Method Boundary Problems Finite Elements Non-conforming Methods Nodal Methods Friedrichs Symmetric Systems Two-dimensional Geometry Galerkin-type Methods Tricomi Equation Green’s Formula Barycentric Coordinates Aubin Nitsche’s Duality Process