Finite Element Analysis (FEA) Courses and Certifications

Inside Livermore Lab

FIAT: From Basis Functions to Efficient Finite Element Solvers

Delve into advanced finite element methods, exploring FIAT's macroelement support, improved tabulation techniques, and efficient solver implementations for complex mathematical problems.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Inside Livermore Lab

Immersed Domain Approach for Fluid-Structure-Contact Interaction Problems

Explore an immersed domain approach for fluid-structure-contact interaction problems, featuring applications in bio-prosthetic heart valves and diaphragm pumps, with emphasis on parallel computing techniques and coupling methods.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Inside Livermore Lab

Finite Element Exterior Calculus in Four-Dimensional Space

Explore finite element exterior calculus techniques for constructing derivative operators and conforming spaces on 4D geometric shapes like tesseracts and pentatopes.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Finite Elements - Class 36

Explore finite element methods for solving partial differential equations with analytical and numerical approaches in this advanced mathematical physics lecture.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Inside Livermore Lab

Interpolation-Based Immersed Finite Element and Isogeometric Analysis

Discover a novel approach to immersed finite element analysis that dramatically reduces implementation complexity through interpolation-based methods for structural mechanics and fluid dynamics.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Inside Livermore Lab

R-Adaptive Mesh Optimization to Enhance Finite Element Basis Compression

Explore advanced techniques for optimizing finite element mesh compression through dictionary-based schemes and r-adaptive mesh optimization to reduce memory usage while maintaining performance.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Inside Livermore Lab

High-Order Matrix-Free Finite Element Method for Hyperbolic Problems

Explore high-order matrix-free finite element methods for hyperbolic PDEs, focusing on mass-matrix-free schemes, DeC time discretization, and structure-preserving properties for Lagrangian hydrodynamics.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Alan Turing Institute

Statistical Finite Element Method for Digital Twinning of Self-Sensing Structures

Explore statistical finite element methods for digital twinning of structures, enhancing predictive accuracy by integrating sensor data with traditional models. Case study: railway bridge application.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Numerical Approximation of the Stochastic Total Variation Flow

Explore numerical schemes for simulating stochastic total variation flow, including convergence analysis and applications in image denoising.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Level Set Shape Optimization on Aggregated Polytopic Meshes

Explore level set shape optimization using polytopic meshes and Discontinuous Galerkin methods for improved boundary tracking and computational efficiency in structural optimization.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

1D Finite Element Method: Weak Form of 1D-FEM - Part 2

Explore advanced concepts of the weak form in 1D Finite Element Method, building on previous knowledge to deepen understanding of this numerical analysis technique.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Applications of Computational Electromagnetics: Finite Element-Boundary Integral - Part 2

Explore advanced finite element-boundary integral techniques in computational electromagnetics, focusing on practical applications and problem-solving strategies.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

2D Finite Element Method - Summary of FEM Procedure

Explore the 2D Finite Element Method procedure, covering key steps and applications in engineering analysis. Gain insights into this powerful numerical technique for solving complex problems.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

1D Finite Element Method: Matrix Assembly for 1D Wave Equation

Explore matrix assembly techniques for the 1D Finite Element Method applied to the 1D Wave Equation, enhancing understanding of numerical solutions in computational physics.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Applications of Computational Electromagnetics: Finite Element-Boundary Integral - Part 3

Explore advanced finite element-boundary integral techniques in computational electromagnetics, focusing on practical applications and problem-solving strategies.

• YouTube
• 19 minutes
• Self-Paced
• Free Video