Finite Elements: Problem with Limits

Related lectures (27)

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Introduces continuity in function spaces and the Galerkin method for solving boundary value problems.

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Focuses on Euler schemes for numerical approximation of forces and velocities.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.