Finite Element Analysis Courses and Certifications

Hausdorff Center for Mathematics

An Introduction to Multiscale Methods and Localised Model Reduction - Part III

Explore advanced multiscale methods for solving PDEs with coefficients varying across multiple scales using Generalised Finite Element Methods and localised model reduction.

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

Inside Livermore Lab

New Advances in hypre 3.0 for Mixed Precision and Semi-Structured Problems

Discover hypre 3.0's breakthrough features: semi-structured algebraic multigrid solver and mixed precision functionality for enhanced finite element computations and Krylov solver performance.

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

Inside Livermore Lab

An O(N) Helmholtz Solver by Time-Filtering the Wave Equation

Discover an efficient O(N) Helmholtz solver using the WaveHoltz algorithm that time-filters wave equations with optimal scaling and high-order accuracy for complex geometries.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Finite Elements Approximation Theory - Class 39

Delve into finite element approximation theory with advanced mathematical techniques for solving partial differential equations numerically.

• YouTube
• 2 hours 18 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Implementing Finite Elements with Gridap - Part 1

Discover how to implement finite element methods using Gridap, a Julia-based framework for solving partial differential equations numerically.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Implementing Finite Elements with Gridap - Part 2

Explore advanced finite element implementation techniques using Gridap framework with expert guidance from Oscar Reula in this comprehensive numerical methods session.

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

BIMSA

Adaptive Multiscale Model Reduction with Generalized Multiscale Finite Element Methods

Discover adaptive multiscale model reduction techniques using Generalized Multiscale Finite Element Methods for complex computational problems in scientific computing.

• YouTube
• 1 hour
• 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

Hausdorff Center for Mathematics

Two-Scale FEMs for Non-Variational Elliptic PDEs

Explore advanced finite element methods for non-variational elliptic PDEs, focusing on two-scale approaches, monotonicity enforcement, and novel error estimation techniques for complex mathematical problems.

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

Hausdorff Center for Mathematics

A Family of Crouzeix-Raviart Non-Conforming Finite Elements in Two- and Three Spatial Dimensions

Explore non-conforming finite elements in 2D and 3D, focusing on Crouzeix-Raviart type. Learn about optimal a priori estimates, jump conditions, and explicit representations of local basis functions.

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

Hausdorff Center for Mathematics

Convergence Theory of Adaptive Finite Element Methods

Explore the convergence theory of adaptive finite element methods for elliptic PDEs, including approximation classes and optimal convergence rates.

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

Hausdorff Center for Mathematics

Convergence in Hölder and Sobolev Norms for Galerkin Approximations of Generalized Whittle-Matern Fields

Optimal convergence rates for Galerkin approximations of generalized Whittle-Matern fields in Hölder and Sobolev norms, covering spectral and finite element methods for Gaussian random fields.

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

Fields Institute

Combined Arbitrary Lagrangian-Eulerian Approach and Adaptive Remeshing Technique for the Finite

Explore advanced numerical methods combining ALE approach and adaptive remeshing for finite element simulations, enhancing accuracy and efficiency in complex engineering problems.

• YouTube
• 47 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

Inside Livermore Lab

MFEM: High-Performance Finite Element Methods Tutorial - 2024

Explore MFEM, a parallel C++ library for finite element methods. Learn to develop scalable algorithms for various platforms, from laptops to supercomputers.

• YouTube
• 1 hour 57 minutes
• Self-Paced
• Free Video