Discontinuous Galerkin Method Courses and Certifications

BIMSA

Transforming Stabilizations into Spaces

Explore advanced mathematical techniques for converting stabilization methods into functional spaces in this specialized computational mathematics presentation.

• YouTube
• 38 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

Inside Livermore Lab

High Order Positivity-Preserving Entropy Stable Discontinuous Galerkin Discretizations

Explore high order discontinuous Galerkin methods for nonlinear conservation laws, focusing on entropy stability and positivity preservation in numerical solutions.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Inside Livermore Lab

MFEM Workshop 2023 - Student Lightning Talks Part 1

Explore cutting-edge finite element research through student presentations on topics like µFEA, entropy stabilization, Maxwell's equations, and thermo-mechanical solves using MFEM.

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

Inside Livermore Lab

An Efficient and Effective FEM Solver for Diffusion Equation with Strong Anisotropy

Explore an efficient discontinuous Galerkin scheme with auxiliary space preconditioning for solving diffusion equations with strong anisotropy, focusing on magnetic confinement fusion applications.

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

BIMSA

Approximation of Non-Linear Hyperbolic Problems and Conservation Properties

Explore advanced numerical methods for non-linear hyperbolic problems, focusing on conservation properties and flux formulations in various schemes like finite volume and discontinuous Galerkin.

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

Centre International de Rencontres Mathématiques

Towards Data-Driven High Fidelity CFD - Lecture 1

Explore data-driven high fidelity CFD, covering shock droplet interaction, icing, multiscale analysis, DG schemes, and scientific machine learning applications in computational fluid dynamics.

• YouTube
• 1 hour 19 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

Inside Livermore Lab

New Avenues in Computational Fluid Dynamics

Explore cutting-edge developments in high-order spectral element solvers for computational fluid dynamics, including multiphysics simulations and machine learning integration.

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

The Julia Programming Language

Solving Partial Differential Equations with Bcube.jl

Discover Bcube.jl, a Julia package for solving PDEs on unstructured meshes using finite element and discontinuous Galerkin methods for multi-physics simulations.

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

Inside Livermore Lab

Mitigating Rays-Effect in Phase-Space Advection with Matrix-Free High-Dimensional DG Methods

Discover a novel matrix-free discontinuous Galerkin approach for mitigating rays-effect in phase-space advection, optimizing deterministic transport simulations through advanced coordinate transformations and efficient computation.

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

The Julia Programming Language

Revisiting Adaptive Mesh Refinement that's not P4est

Explore a refined adaptive mesh refinement algorithm that superimposes finer elements on parents, eliminating hanging nodes and optimizing assembly for DG methods in Julia.

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

The Julia Programming Language

Efficient Adaptive Mesh Refinement Using Superposition for Discontinuous Galerkin Methods

Discover efficient adaptive mesh refinement techniques using superposition for discontinuous Galerkin methods, optimizing local matrix recalculation to minimize computational overhead.

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

BIMSA

Strictly Convex Entropy and Entropy Stable Schemes for the Reactive Euler Equations

Explore strictly convex entropy functions and stable numerical schemes for reactive Euler equations in compressible flow with chemical reactions and thermodynamic considerations.

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