Finite Element Method Courses and Certifications

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

Sparse, Approximate Quadrature for Acceleration of Isogeometric Analysis and ROMs

Explore advanced numerical integration techniques for accelerating isogeometric analysis and reduced order models through sparse quadrature methods in finite element computations.

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

Hausdorff Center for Mathematics

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

Explore advanced multiscale methods and localised model reduction for solving PDEs with coefficients varying across multiple scales using GFEM frameworks.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

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

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

Inside Livermore Lab

Geometric Predicates for Unconditionally Robust Elastodynamics Simulation

Discover groundbreaking approaches to robust elastodynamics simulation, focusing on geometric predicates and incremental potential contact methods for ensuring valid trajectories in physical simulations.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Inside Livermore Lab

SiMPL: A Fast and Simple Method for Density-Based Topology Optimization

Discover a new first-order method for density-based topology optimization that delivers faster convergence and mesh-independent behavior through the SiMPL approach to design updates and calculations.

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

Inside Livermore Lab

Efficient Simulation of Fluid Flows Using High-Order Finite Elements with deal.II

Explore advanced techniques for high-order discontinuous Galerkin methods in fluid flow simulation, focusing on matrix-free operator evaluation and efficient iterative solvers using the deal.II library.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

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

Arbitrary Order Virtual Element Methods for High-Order Phase-Field Modeling of Dynamic Fracture

Explore advanced virtual element methods for modeling dynamic fracture, focusing on high-order phase-field approaches and their application in predicting material damage under extreme conditions.

• YouTube
• 23 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

Inside Livermore Lab

Mixed Finite Element Formulation for Solid Mechanics Problems

Explore mixed finite element formulation for solid mechanics with Łukasz Kaczmarczyk, focusing on implementation for elasticity problems, efficient parallel solving through hybridization, and applications to contact problems and crack propagation.

• YouTube
• 1 hour 26 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

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