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.
GPT-PINN and TGPT-PINN: Advanced Physics-Informed Neural Networks for Parametric PDEs
Explore GPT-PINN and TGPT-PINN for efficient parametric PDE solutions. Learn meta-learning techniques to reduce training time and network complexity while maintaining accuracy across parameter domains.
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.
Quantifying the Potential of Covid-19 Transmission Across Scales
Explore Covid-19 transmission modeling across scales, from high-resolution simulations of respiratory aerosols to broader exposure assessment tools, aiding in pandemic mitigation strategies.
Finite Neuron Method - Lecture 1
Explore finite neuron method fundamentals, covering finite element method, neural networks, and adaptive PD. Gain insights into mathematical concepts and their applications.
Interpolation at Arbitrary Points in High-Order Meshes on GPUs
Discover advanced techniques for arbitrary point interpolation in high-order mesh computations, focusing on GPU optimization and parallel processing for efficient scientific simulations.
Robust Containment Queries over Collections of Parametric Curves via Generalized Winding Numbers
Discover advanced geometric containment query techniques for 2D regions using rational Bezier curves and generalized winding numbers, enabling efficient multiphysics simulations without expensive refinement processes.
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.
Advection-Diffusion Problems on Polygonal Meshes
Explore advanced mathematical techniques for solving advection-diffusion PDEs on polygonal meshes, covering high-order finite elements, WENO methods, and practical applications in geosciences.
Automatic Parameter Sensitivities in Serac for Engineering Applications
Discover how to leverage automatic parameter sensitivities in Serac for engineering applications, featuring robust nonlinear solvers, coupled thermal-mechanics, and differentiable material models for optimization workflows.
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.
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.
Hybridization of Convection-Diffusion Systems in MFEM
Explore advanced hybridization techniques for convection-diffusion systems using MFEM's framework, focusing on efficient computational solutions and practical implementation methods.
Level-Set Topology Optimization with PDE Generated Conformal Meshes
Explore advanced level-set topology optimization techniques using PDE-based approaches for multi-material design problems, featuring MFEM's high-order mathematical framework for efficient scientific simulations.