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Lecture
Variational Formulation: Weak Formulations & Galerkin
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Finite Element Method: Weak Formulation and Applications
Explores integral and weak formulations in Finite Element Method applications.
Poincaré - Friedrichs: Theorem and Kernel Inequality
Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.
Finite Element Method: Global vs Local Approach
Compares the global and local approaches of the Finite Element Method.
Computational Geomechanics: Unconfined Flow
Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.
Computational Geomechanics: Week 4
Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.
Finite Element Method: Linear Statics
Explores the Finite Element Method applied to linear statics of deformable solids.
Computational Geomechanics: Unconfined Flow Analysis
Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.
Structural Mechanics Part 2: FEM & Scaling Laws
Explores Finite Element Modeling in Structural Mechanics, covering convergence, nonlinear displacement, and scaling laws in micro and nanosystems.
Internal Heat Transfer Effects
Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.
Boundary Conditions in Harmonic Functions
Explains harmonic functions and their boundary conditions, including Dirichlet and Robin conditions.