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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 Achieved through Mesh Regeneration

Case study: Discretization of a Crankshaft

Setting up 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 -- Broadening 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

Combination with Finite Elements and the Hybrid Method

The Importance of Clean Code

Enhancing Computational Performance (Parallel and Vector Computing)

Closing Remarks

Requirements

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

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