Finite Element Method Courses and Certifications

Finite Element Method (FEM) Analysis and Applications

The main content of this course includes: fundamental mathematics and mechanics method, basic properties of the finite element method

• XuetangX
• On-Demand
• Free Online Course

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Institute for Mathematical Sciences

Convergent Evolving Surface Finite Element Algorithms for Geometric Evolution Equations

Explore convergent evolving surface finite element algorithms for geometric evolution equations, presented by Prof. Christian Lubich from University of Tübingen.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Multiscale Approximations for the Stationary Ginzburg-Landau Equation

Explores discrete minimizers of Ginzburg-Landau energy in finite element spaces, focusing on parameter κ's influence on vortex lattices and mesh resolution conditions for accurate numerical simulations.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Multiscale Hybrid Mixed Finite Element Method for Polygonal Meshes

Explores Multiscale Hybrid Mixed method for polygonal meshes, discussing upscaling, flux reconstruction, and a new variant with elliptic problems. Covers applications and collaborations in computational mathematics.

• YouTube
• 50 minutes
• On-Demand
• Free Video

nanohubtechtalks

Microstructure Modeling with OOF2 and OOF3D - Interactive Finite Element Analysis for Materials Science

Explore microstructure modeling using OOF2 and OOF3D. Learn to assign material properties, construct finite-element meshes, and perform virtual experiments to investigate structure-property relationships.

• YouTube
• 1 hour 6 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

NHR@FAU

High-Performance Implementations for High-Order Finite-Element Discretizations of PDEs

Explore matrix-free finite-element algorithms for solving PDEs, focusing on high-performance implementations and recent developments in performance engineering for complex geometries.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Inside Livermore Lab

Numerical Solvers for Viscous Contact Problems in Glaciology

Explore numerical solvers for viscous contact problems in glaciology, focusing on ice flow modeling, subglacial cavities, and marine ice sheet dynamics. Overcome computational challenges in Stokes equations.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Inside Livermore Lab

A Data-Driven Finite Element Exterior Calculus

Explore data-driven finite element exterior calculus for developing reduced-order models of multiphysics systems, combining machine learning with traditional finite element methods for robust surrogate modeling.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Inside Livermore Lab

LAGHOST: Development of Lagrangian High-Order Solver for Tectonics

Explore LAGHOST, a Lagrangian high-order solver for tectonic simulations. Learn about its features, benchmarks, and applications in modeling geological processes like normal fault evolution.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Inside Livermore Lab

Data-Driven Discontinuous Galerkin FEM via Reduced Order Modeling and Domain Decomposition

Explore scalable component reduced order modeling for efficient large-scale simulations, combining Discontinuous Galerkin Domain Decomposition and proper orthogonal decomposition to accelerate scientific technology transition.

• YouTube
• 54 minutes
• On-Demand
• Free Video