Finite Element Analysis Courses and Certifications

MICDE University of Michigan

Poseidon: Efficient Foundation Models for PDEs - Tutorial 1

Explore efficient foundation models for PDEs with Poseidon, focusing on innovative techniques and applications in computational science.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

MICDE University of Michigan

Immersed Methods for Fluid-Structure Interaction

Explore advanced immersed boundary methods for fluid-structure interaction, focusing on large-deformation elasticity, peridynamics for material failure, and sharp-interface coupling techniques.

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

MICDE University of Michigan

Multi-scale Modeling of Structure and Properties Evolution in Nuclear Materials

Explore multi-scale modeling techniques for predicting material performance in nuclear energy applications, focusing on INL's approach using the MOOSE framework.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Numerical Approaches to Modelling Curved Surfaces

Explore numerical methods for modeling curved surfaces, focusing on applications in physics and biology.

• YouTube
• 1 hour 33 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

CppNow

A Discussion of Selected Vienna-Libraries for Computational Science

Explore Vienna-Libraries for computational science: ViennaCL, ViennaGrid, ViennaData, ViennaMath, and ViennaFEM. Learn how C++ can better meet scientific computing needs.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Conference Talk

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Isaac Newton Institute for Mathematical Sciences

Solving PDEs in Domains with Complex Evolving Morphology - Rothschild Lecture

Explore mathematical challenges in solving PDEs on evolving domains, focusing on biological applications. Learn abstract frameworks, well-posedness theory, and numerical methods for complex geometries.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Isaac Newton Institute for Mathematical Sciences

Kirk Lecture: A Recent Technology for Scientific Computing - The Virtual Element Method

Explore the Virtual Element Method, a generalization of FEM for solving PDEs using polygonal/polyhedral meshes, offering improved accuracy, efficiency, and flexibility in scientific computing.

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

International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 5

Explore advanced numerical techniques in computational relativity, focusing on simulating black hole mergers and other high-energy astrophysical phenomena for gravitational-wave astronomy.

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

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Society for Industrial and Applied Mathematics

A Geometric Approach to Modeling and Analysis of Mixed-Dimensional and Multi-Continuum Materials

Explore geometric modeling of complex materials, unifying concepts from differential geometry and functional analysis to analyze fractured porous media and multi-continuum models.

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