Stochastic Fractional PDEs: Random Field Generation and Topology Optimization - MFEM Workshop 2022
Explore stochastic fractional PDEs, Gaussian random fields, and topology optimization using MFEM. Learn numerical solutions and applications in scientific simulations and additive manufacturing.
Modeling X with Partial Differential Equations
Explore advanced PDE modeling techniques using NDSolve and finite element methods for engineering applications, including axisymmetric regions and hyperelastic solid mechanics.
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.
Multiscale Methods for High-Contrast Heterogeneous Sign-Changing Problems
Explore multiscale methods for high-contrast heterogeneous sign-changing problems, focusing on CEM-GMsFEM tailored for these scenarios. Learn about numerical effectiveness and error estimation.
ME3255 - Linear Algebra Work for Finite Element Solutions
Explore linear algebra techniques for solving finite element problems in engineering applications. Enhance computational skills for advanced numerical analysis.
Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods
Explore the connection between hybrid high-order and hybridizable discontinuous Galerkin methods for diffusion problems, unveiling new efficient approaches and optimal convergence.
Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods
Explore the connection between hybrid high-order and hybridizable discontinuous Galerkin methods for diffusion problems, unveiling new efficient approaches and optimal convergence.
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.
What's New in Domain Decomposition
Explore recent advancements in domain decomposition methods for solving large-scale mathematical problems efficiently and accurately.
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.
Modern Numerical Methods in Computational Relativity - Lecture 2
Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on applications in gravitational-wave astronomy and astrophysical simulations.
Modern Numerical Methods in Computational Relativity - Lecture 3
Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on modeling gravitational waves from merging black holes and neutron stars.
Modern Numerical Methods in Computational Relativity - Lecture 4
Explore advanced numerical techniques in computational relativity, focusing on solving Einstein's field equations for gravitational-wave astronomy and astrophysical phenomena modeling.
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.
Numerical Investigation of Vortex Formation in Bose-Einstein Condensates
Explore numerical modeling of vortex patterns in Bose-Einstein condensates using finite elements, focusing on mesh size requirements for accurate approximations of superfluid behavior.
Applications of Computational Electromagnetics: Hybrid Methods - Motivation
Explore hybrid methods in computational electromagnetics, focusing on their motivations and applications in solving complex electromagnetic problems.
Fast, Accurate and Large-scale Ab-initio Calculations for Materials Modeling
Explore advanced computational methods for large-scale density functional theory calculations using adaptive finite-element discretization, enhancing materials modeling capabilities.
Radio-Frequency Wave Simulation in Hot Magnetized Plasma - MFEM Workshop 2023
Explore advanced radio-frequency wave simulation techniques in hot magnetized plasma, focusing on innovative approaches to construct dielectric operators with all-order finite Larmor radius effects.
Modeling Electromagnetics with Partial Differential Equations - Part 1: Electrostatics
Formulate and solve electrostatic PDE models, focusing on interpolation of discontinuous quantities and exploring a multiphysics actuator application.
Solving Physics Problems with Schrödinger's Equations
Explore Schrödinger equation generation and solve physics problems using finite element method in Wolfram Language through practical examples.
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.