Notes


Teaching notes:

Finite Element Analysis: Fundamental concepts and techniques of primal finite element methods. Method of weighted residuals, Galerkin's method and variational equations. Linear eliptic boundary value problems in one, two and three space dimensions; applications in structural, solid and fluid mechanics and heat transfer. Properties of standard element families and numerically integrated elements. Implementation of the finite element method using Matlab, assembly of equations, and element routines. Lagrange multiplier and penalty methods for treatment of constraints. The mathematical theory of finite elements.

    Course and learning notes:

  • Foundations of Solid Mechanics. [PDF]

  • Elasticity & Inelasticity. [PDF]

  • Finite Element Analysis. [PDF]

  • Statistical Mechanics. [PDF] [Review]

  • Nonlinear Finite Element Analysis. [PDF]

  • Partial Differential Equations. [PDF]

  • Defects & Disorders in Materials. [PDF]

  • Linear Algebra. [PDF]

  • Atomistic Modeling. [PDF]

  • Inverse Problems. [PDF]

  • Principles of Large-Scale Machine Learning. [PDF]

  • Engineering Thermodynamics. [PDF]

  • Computational Fluid Dynamics. [PDF]

  • Density Functional Theory. [Notebooks 1; Notebooks 2]

  • Design Optimization. [PDF]

  • Mathematical Modeling. [PDF]


  • Smoothed-Particles Hydrodynamics. [PDF]

  • Finite Volume Method. [PDF]

  • Neural Networks. [PDF]

  • Dynamics of Janus Particles. [PDF]

  • Machine Learning for Multiscale Modeling. [PDF]

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