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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

Versatility via Mesh Regeneration

Case Study: Discretization of a Crankshaft

Configuring the Development Environment

Overview of the Mathematical Foundations of BEM

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

Discontinuous Linear Elements -- Enhancing Approximations

Two-dimensional Helmholtz Type Equation -- Expanding 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

Enhancing Computational Performance (Parallel and Vector Computing)

Closing Remarks

Requirements

  • Fundamental knowledge of vector calculus
  • Comprehension of ordinary and partial differential equations
  • Understanding of complex variables
  • Programming experience in any language
 7 Hours

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