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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

Adaptability via Mesh Regeneration

Case Study: Discretization of a Crankshaft

Establishing the Development Environment

Review of BEM's Mathematical Foundations

Two-dimensional Laplace's Equation -- Resolving a Basic 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

Evaluating Three-dimensional Problems

Evaluating Problems Involving Stress and Flux Concentrations

Evaluating 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)

Concluding Remarks

Requirements

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

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