Course Outline
Introduction
- Boundary Elements vs Finite Elements
Integration of Boundary Elements with Computer Aided Engineering (CAE) and Integrated Engineering Software
Continuous Elements, Discontinuous Elements, and Surface Discretization
Enhancing Versatility via Mesh Regeneration
Case Study: Discretization of a Crankshaft
Configuring the Development Environment
Overview of BEM's Mathematical Foundations
Solving a Simple Boundary Value Problem Using the Two-dimensional Laplace's Equation
Improving Approximations with Discontinuous Linear Elements
Extending Analysis via the Two-dimensional Helmholtz Type Equation
The Two-dimensional Diffusion Equation
Green's Functions for Potential Problems
Analyzing Three-dimensional Problems
Analyzing Problems with Stress and Flux Concentrations
Analyzing Torsion, Diffusion, Seepage, Fluid Flow, and Electrostatics
Combination with Finite Elements and the Hybrid Method
The Importance of Clean Code
Enhancing Computational Performance (Parallel and Vector Computing)
Closing Remarks
Requirements
- Fundamental knowledge of vector calculus
- Understanding of ordinary and partial differential equations
- Familiarity with complex variables
- Programming experience in any language
Testimonials (1)
The practices and the fact that you can share your screen for guidance from the trainer