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Course Outline

Introduction

  • Boundary Elements Compared to Finite Elements

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

Continuous Elements, Discontinuous Elements, and Surface Discretization

Versatility Enabled by Mesh Regeneration

Case Study: Discretization of a Crankshaft

Establishing 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 -- Expanding the Analysis

Two-dimensional Diffusion Equation

Green's Functions for Potential Problems

Analysis of Three-dimensional Problems

Analysis of Problems Featuring Stress and Flux Concentrations

Analysis of Torsion, Diffusion, Seepage, Fluid Flow, and Electrostatics

Integration with Finite Elements and the Hybrid Method

The Value of Clean Code

Boosting Computational Performance (Parallel and Vector Computing)

Closing Remarks

Requirements

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

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