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Course Outline

Introduction

  • Boundary Elements compared to Finite Elements

How Boundary Elements integrate with Computer Aided Engineering (CAE) and Integrated Engineering Software

Continuous Elements, Discontinuous Elements, and Surface Discretization

Versatility via Mesh Regeneration

Case Study: Discretisation of a Crankshaft

Configuring the Development Environment

Overview of BEM's Mathematical Foundations

Two-dimensional Laplace's Equation -- Solving a Simple Boundary Value Problem

Discontinuous Linear Elements -- Enhancing Approximations

Two-dimensional Helmholtz Type Equation -- Extending the Analysis

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

Integration with Finite Elements and the Hybrid Method

The Importance of Clean Code

Improving Computational Performance (Parallel and Vector Computing)

Closing Remarks

Requirements

  • Fundamental understanding of vector calculus
  • Knowledge of ordinary and partial differential equations
  • Familiarity with complex variables
  • Programming experience in any language
 7 Hours

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