Boundary Element Methods for Engineers: Part I Potential Problems
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740307320
Table of contents: title: Content; title: 1. Introduction; title: 1.1. Continuum Mechanics Problems; title: 1.2. Some Practical Engineering Problems; title: 1.3. Methods for Solving Harmonic and Biharmonic Equations; title: 2. Boundary Element Analysis of Potential Problems; title: 2.1. Fundamental Solution; title: 2.2. Boundary Integral Equation; title: 2.3. Discretisation of the Boundary Integral Equation; title: 2.4. Constant Boundary Elements; title: 2.5. Quadratic Boundary Elements; title: 2.6. Scaling; title: 2.7. Solving the Linear Equations; title: 2.8. Solving Poisson’s Equation; title: 3. Constant Boundary Element Program for Potential Problems; title: 3.1. Program BEM2PC; title: 3.2. Some Test Problems for BEM2PC; title: 3.3. An Example: Downstream Viscous Flow in a Rectangular Channel; title: 4. Quadratic Boundary Element Program for Potential Problems; title: 4.1. Program BEM2PQ; title: 4.2. Some Test Problems for BEM2PQ; title: 4.3. An Example: Downstream Viscous Flow in a Rectangular Channel; title: 4.4. An Example: Heat Conduction in a Domain of Complex Shape; title: 4.5. Discussion; title: Appendix A: Gaussian Quadrature; title: Appendix B: Gaussian Elimination; title: Appendix C: Matlab Version of Constant Boundary Element Program for Potential Problems; title: Appendix D: Matlab Version of Quadratic Boundary Element Program for Potential Problems; title: Solutions to Problems – Part 1