Finite Element Method: Global vs Local Approach

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Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Finite Elements Method: Error Estimation

Explores a priori error estimation in the finite elements method, covering convergence analysis, orthogonality, weak formulations, and optimal precision.

Computational Geomechanics: Week 4

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

Numerical Methods: Boundary Value Problems

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Numerical Analysis: Solving Linear Systems in Higher Dimensions

Covers numerical analysis and optimization, focusing on solving linear systems in higher dimensions using finite difference methods.

Variational Formulation: Weak Formulations & Galerkin

Explores weak formulations, Galerkin method, and variational formulations in finite element methods.

Internal Heat Transfer Effects

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

The Finite Volume Method

Covers the Finite Volume Method for numerical flow simulation, including conservation equations, discretization methods, and boundary conditions.

Finite Elements: Problem with Limits

Covers the application of finite element methods to solve boundary value problems in one dimension.

Computational Geomechanics: Unconfined Flow Analysis

Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.