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Course Outline

Introduction

  • Boundary Elements versus Finite Elements

Integration of Boundary Elements with Computer-Aided Engineering (CAE) and Integrated Engineering Software

Continuous Elements, Discontinuous Elements, and Surface Discretization

Flexibility via Mesh Regeneration

Case Study: Discretizing a Crankshaft

Configuring the Development Environment

Overview of BEM's Mathematical Foundations

Solving Simple Boundary Value Problems using the Two-Dimensional Laplace's Equation

Discontinuous Linear Elements for Improved Approximations

Two-Dimensional Helmholtz Type Equation for Extended Analysis

Two-Dimensional Diffusion Equation

Green's Functions for Potential Problems

Analyzing Three-Dimensional Problems

Addressing Problems with Stress and Flux Concentrations

Analyzing Torsion, Diffusion, Seepage, Fluid Flow, and Electrostatics

Hybrid Methods: Combining with Finite Elements

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
  • Knowledge of complex variables
  • Programming experience in any language
 7 Hours

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