Mathematical foundations of finite elements and iterative solvers / Paolo Gatto.

Format:

Book

Author/Creator:

Gatto, Paolo (Professor of mathematics), author.

Contributor:

Society for Industrial and Applied Mathematics, publisher.

Language:

English

Subjects (All):

Finite element method--Textbooks.

Finite element method.

Iterative methods (Mathematics)--Textbooks.

Iterative methods (Mathematics).

Fluid dynamics--Mathematics.

Fluid dynamics.

Physical Description:

1 online resource (186 pages)

Place of Publication:

Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2022]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This textbook describes the mathematical principles of the finite element method, a technique that turns a (linear) partial differential equation into a discrete linear system, often amenable to fast linear algebra. Reflecting the author's decade of experience in the field, Mathematical Foundations of Finite Elements and Iterative Solvers: examines the crucial interplay between analysis, discretization, and computations in modern numerical analysis, recounts historical developments leading to current state-of-the-art techniques, and while self-contained, provides a clear and in-depth discussion of several topics, including elliptic problems, continuous Galerkin methods, iterative solvers, advection-diffusion problems, and saddle point problems.

Contents:

Elliptic problems

Discretization by Galerkin methods

Solvers

Numerical solution of saddle point problems

Steady advection-diffusion problems

The stokes problem.

Notes:

Description based on title page of print version.

Includes bibliographical references (pages 169-172) and index.

ISBN:

1-61197-709-6

Publisher Number:

CS26 SIAM