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Course Outline

Introduction

  • Boundary Elements vs Finite Elements

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

Continuous Elements, Discontinuous Elements, and Surface Discretization

Enhancing Versatility through 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 -- Refining Approximations

Two-dimensional Helmholtz Type Equation -- Expanding the Analysis

Two-dimensional Diffusion Equation

Green's Functions for Potential Problems

Addressing Three-dimensional Challenges

Evaluating Problems with Stress and Flux Concentrations

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

Integration with Finite Elements and the Hybrid Method

The Significance of Clean Code

Optimizing Computational Performance (Parallel and Vector Computing)

Closing Remarks

Requirements

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

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