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Course Outline

Introduction

  • Boundary Elements compared to Finite Elements

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

Continuous Elements, Discontinuous Elements, and Surface Discretization

Achieving Versatility via Mesh Regeneration

Case Study: Discretization of a Crankshaft

Configuring the Development Environment

Overview of BEM's Mathematical Foundations

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

Addressing Three-dimensional Problems

Addressing Problems with Stress and Flux Concentrations

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

Integration with Finite Elements and the Hybrid Method

The Significance of Clean Code

Boosting 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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