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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 and Discontinuous Elements, along with Surface Discretization

Achieving Versatility through Mesh Regeneration

Case Study: Discretizing a Crankshaft

Configuring the Development Environment

Overview of BEM's Mathematical Foundations

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

Discontinuous Linear Elements -- Enhancing Approximation Accuracy

Two-dimensional Helmholtz Type Equation -- Expanding the Analysis

Two-dimensional Diffusion Equation

Green's Functions for Potential Problems

Analyzing Three-dimensional Problems

Evaluating Issues with Stress and Flux Concentrations

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

Integrating 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
  • Familiarity with ordinary and partial differential equations
  • Knowledge of complex variables
  • Programming experience in any language
 7 Hours

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