Sparse, Approximate Quadrature for Acceleration of Isogeometric Analysis and ROMs

Watch a technical presentation from the 2024 MFEM Workshop exploring innovative approaches to sparse quadrature rules for accelerating numerical computations. Discover an algebraic method for constructing efficient quadrature rules that maintain accuracy while reducing computational overhead. Learn how these techniques can be applied to isogeometric analysis using NURBS finite element spaces and patch-wise integration with sum factorization. Explore the application of empirical quadrature procedures (EQP) for accelerating reduced order model (ROM) simulations, with demonstrations using the Laghos miniapp that preserve energy conservation. Gain insights into how these methods can significantly improve setup times and overall computational efficiency in high-performance scientific simulations using the Modular Finite Element Methods (MFEM) framework.