Numerical methods for exterior problems / Ying Lung-An.

Format:

Book

Author/Creator:

Ying, Long'an, 1936-

Series:

Peking University series in mathematics ; v. 2.

Peking University series in mathematics ; v. 2

Language:

English

Subjects (All):

Differential equations, Partial.

Mathematical analysis.

Physical Description:

1 online resource (280 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2006.

Language Note:

English

Summary:

This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing. The coverage includes both traditional and novel methods. A concise introduction to the well-posedness of the problems is given, establishing a solid foundation for the methods. Sample Chapter(s) Chapter 1: Exterior Problems of Partial Differential Equations (1,839 KB) Contents: Exterior Problems of Partial Differential Equations Boundary Element Method

Contents:

Contents; Preface; 1. Exterior Problems of Partial Differential Equations; 1.1 Harmonic equation-potential theory; 1.2 Poisson equations; 1.3 Poisson equations-variational formulation; 1.4 Helmholtz equations; 1.5 Linear elasticity; 1.6 Bi-harmonic equations

1.7 Steady Navier-Stokes equations -linearized problems 1.7.1 Navier-Stokes equations; 1.7.2 Stokes equations; 1.7.3 Behavior of solutions at the infinity; 1.7.4 Stokes paradox; 1.7.5 Oseen flow; 1.8 Steady Navier-Stokes equations; 1.9 Heat equation; 1.10 Wave equation

1.11 Maxwell equations 1.12 Darwin model; 2. Boundary Element Method; 2.1 Some typical domains; 2.1.1 Harmonic equation; 2.1.2 Bi-harmonic equation; 2.1.3 Stokes equation; 2.1.4 Plane elasticity; 2.1.5 Helmholtz equation; 2.2 General domains

2.3 Subdivision of the domain 2.4 Dirichlet to Neümann operator; 2.5 Finite part of divergent integrals; 2.6 Numerical approximation; 2.7 Error estimates; 2.8 Domain decomposition; 2.9 Boundary perturbation; 3. Infinite Element Method; 3.1 Harmonic equation-two dimensional problems

3.1.1 Infinite element formulation 3.1.2 Transfer matrix ; 3.1.3 Further discussion for the transfer matrix; 3.1.4 Combined stiffness matrix; 3.2 General elements; 3.3 Harmonic equation-three dimensional problems; 3.4 Inhomogeneous equations; 3.5 Plane elasticity

3.6 Bi-harmonic equations

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611912086

9781281912084

1281912085

9789812772565

9812772561

OCLC:

820942621