Finite Element Modeling

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Related lectures (32)

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Optimization Methods

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

Structural Analysis: Bar Elements

Covers stiffness matrices, system assembly, constraints, reactions, and displacements in structural analysis.

Optimal Control: KKT Conditions

Explores optimal control and KKT conditions for non-linear optimization with constraints.

Error Analysis and Interpolation

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Structural Analysis: Bar Elements and Connectivity Matrices

Covers the calculation of stiffness matrices for each bar element in the global reference frame and explores the influence of element numbering and node positions.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Spatial Phenomena: Isovalues

Covers continuous spatial phenomena and isovalues in geographic information systems, including interpolation methods and examples of isovalues curves for various environmental factors.

Optimization Methods

Covers unconstrained and constrained optimization, optimal control, neural networks, and global optimization methods.

Numerical Analysis: Jupyter Notebook Tutorial

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.