Finite Element Modeling: Introduction

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Related lectures (52)

Iterative Methods: Jacobi Log in to Mediaspace to watch this video

Covers the Jacobi iterative method for solving electrostatic problems and discusses convergence and practical examples.

The Finite Volume Method Log in to Mediaspace to watch this video

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

Numerical Flow Simulation: Methods and Applications Log in to Mediaspace to watch this video

Explores numerical methods for flow simulation, including finite element, spectral, particle, and lattice Boltzmann methods.

Climate Modeling: Equations, Numerical Solutions, and Uncertainties Log in to Mediaspace to watch this video

Explores the equations and numerical solutions in climate modeling, highlighting uncertainties in climate projections.

Numerical Methods: Boundary Conditions and Stencils Log in to Mediaspace to watch this video

Covers the renumbering of stencil points and the impact of boundary corrections on the linear system matrix.

Differential Relations for Internal Forces Log in to Mediaspace to watch this video

Explains the differential method for calculating internal forces in beams and handling discontinuities at point loads.

Finite Element Method: Global vs Local Approach Log in to Mediaspace to watch this video

Compares the global and local approaches of the Finite Element Method.

Symmetry in Finite Element Models Log in to Mediaspace to watch this video

Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.

Verification and validation Log in to Mediaspace to watch this video

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

Rayleigh Taylor: Normal Mode Expansion Log in to Mediaspace to watch this video

Explores normal mode expansion, Laplace equation solution, and dispersion relation analysis in Rayleigh Taylor instability.

Structural Mechanics: Beam Bending and Boundary Conditions Log in to Mediaspace to watch this video

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Shoulder Biomechanics: Numerical Methods Log in to Mediaspace to watch this video

Explores the engineering of the shoulder joint, covering biomechanics, numerical methods, and clinical applications.

Existence of Minimizers: Direct Methods Log in to Mediaspace to watch this video

Covers direct methods for finding minimizers in the Poisson equation, emphasizing the importance of convexity and boundary conditions.

Weak Formulation of Elliptic PDEs Log in to Mediaspace to watch this video

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Non-straight Beams: Frames & Arches Log in to Mediaspace to watch this video

Explores non-straight beams, frames, arches, internal load diagrams, stress resultants, and reaction calculations.

Frames & Arches: Internal Loads Log in to Mediaspace to watch this video

Covers the matching conditions for frames and arches, discussing the discontinuities in V and M.

Stokes Formula in Hydrodynamics Log in to Mediaspace to watch this video

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

Finite Elements Method: Error Estimation Log in to Mediaspace to watch this video

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

Introduction to PDES Log in to Mediaspace to watch this video

Covers harmonic functions, Laplacian operator, Dirichlet and Robin problems, and sub-harmonic functions in Partial Differential Equations.

Translation Groups on [0,1]Log in to Mediaspace to watch this video

Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.

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