An Introduction to the Classical Approximation Methods in Applied Mechanics / by Andreas Öchsner.

Format:

Book

Author/Creator:

Öchsner, Andreas.

Series:

SpringerBriefs in Computational Mechanics, 2191-5350

Language:

English

Subjects (All):

Mechanics, Applied.

Engineering Mechanics.

Local Subjects:

Engineering Mechanics.

Physical Description:

1 online resource (116 pages)

Edition:

1st ed. 2026.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2026.

Summary:

This book presents a unified approach to classical approximation methods in engineering by applying the weighted residual method to transform differential equations into solvable algebraic systems. It demonstrates how this procedure underlies the finite difference, finite element, finite volume, and boundary element methods. The mechanical focus is on the one-dimensional tensile bar, allowing the mathematical framework and resulting matrix equations to be fully displayed and understood without symbolic abstraction. This approach supports a clear understanding of the derivation processes and is designed to help readers implement and extend features such as constitutive models in commercial simulation tools.

Contents:

Introduction

Finite Difference Method

Finite Element Method

Finite Volume Method

Boundary Element Method

Comparison of the Methods.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-032-06967-X

9783032069672

OCLC:

1572195640