Lectures related to Perturbation expansion and boundary conditions

Internal Heat Transfer Effects

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

Numerical Flow Simulation: Boundary Conditions

Covers the numerical simulation workflow for fluid dynamics, focusing on boundary conditions and their importance for solution convergence.

Rayleigh Benard: Instability and Boundary Conditions

Explores Rayleigh Benard convection, boundary conditions, instability, and solution ansatz.

Perturbed Boundary Conditions

Covers perturbed boundary conditions in fluid mechanics and linearization of dynamic systems.

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Boundary Conditions and Basis Decomposition

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Linear Statics of Deformable Solids

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.

Stokes Formula in Hydrodynamics

Explores Stokes formula in hydrodynamics, emphasizing flow along a sphere and boundary conditions.

Naturally Curved Hair in 2D

Explores the behavior of naturally curved hair in a 2D space under gravity.

Thermal Bridge Analysis: Materials and Conditions

Explores thermal bridge analysis, material properties, and boundary conditions for building insulation.

Computational Geomechanics: Unconfined Flow Analysis

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

Square Potential Well

Covers the concept of a square potential well and the search for solutions using trigonometric functions.

Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Numerical Flow Simulation: Basics and Boundary Conditions

Covers the basics of numerical flow simulation, including boundary conditions and geometry reduction.

Computational Geomechanics: Week 4

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

Material and Energy Balances

Explores material and energy balances in chemical engineering for process optimization and design.

Diffusion-Convection: Modeling and Schemes

Covers modeling and numerical schemes for diffusion-convection problems.

Poincaré - Friedrichs: Theorem and Kernel Inequality

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Linear 2nd Order ODEs: Boundary Value Problems

Explores linear 2nd order ODEs as boundary value problems with various types of conditions, ensuring unique solutions.

Quantum Mechanics: Power Series Solutions

Explores power series solutions in quantum mechanics for differential equations and energy quantization.