Train small, model big: scalable physics simulators via reduced order modeling and domain decomposition
From MaRDI portal
Publication:6557808
DOI10.1016/j.cma.2024.117041MaRDI QIDQ6557808
Sarah E. Baker, Eric B. Duoss, Seung Whan Chung, Thomas Moore, Christopher Hahn, Du Nguyen, Pratanu Roy, Youngsoo Choi, Tiras Y. Lin, Thomas Roy
Publication date: 18 June 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75)
Cites Work
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Review of summation-by-parts schemes for initial-boundary-value problems
- Discontinuous Galerkin method for multicomponent chemically reacting flows and combustion
- A discontinuous Galerkin method for the Vlasov-Poisson system
- Spectral based discontinuous Galerkin reduced basis element method for parametrized Stokes problems
- An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
- Compatible algorithms for coupled flow and transport
- Data-driven POD-Galerkin reduced order model for turbulent flows
- A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- A numerical solution of the Navier-Stokes equations using the finite element technique
- A new certification framework for the port reduced static condensation reduced basis element method
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- Stable conservative multidomain treatments for implicit Euler solvers
- An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs
- Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
- Reduced order models for Lagrangian hydrodynamics
- Mosaic flows: a transferable deep learning framework for solving PDEs on unseen domains
- Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models
- Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition
- Gradient-based constrained optimization using a database of linear reduced-order models
- Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems
- A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder
- MFEM: a modular finite element methods library
- Component-wise reduced order model lattice-type structure design
- A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods
- Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction
- Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws
- A reduced order variational multiscale approach for turbulent flows
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Conservative model reduction for finite-volume models
- A static condensation reduced basis element method: complex problems
- Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
- Error-bounds for finite element method
- The extended finite element method for rigid particles in Stokes flow
- A discontinuous Galerkin reduced basis element method for elliptic problems
- Krylov-Subspace Recycling via the POD-Augmented Conjugate-Gradient Method
- A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Finite Elements and Fast Iterative Solvers
- The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model
- PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
- Nonlinear model order reduction based on local reduced-order bases
- Model Reduction for Flow Analysis and Control
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment
- Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
- Nitsche's method for interface problems in computa-tional mechanics
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Local Discontinuous Galerkin Methods for the Stokes System
- Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction
- The Reduced Basis Element Method: Application to a Thermal Fin Problem
- A Preconditioner for the Steady-State Navier--Stokes Equations
- HP DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE STOKES PROBLEM
- A scalable Lagrange multiplier based domain decomposition method for time‐dependent problems
- Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
- Performance and Scalability of the Block Low-Rank Multifrontal Factorization on Multicore Architectures
- An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
- Streamline design of stability parameters for advection-diffusion problems
- Preconditioned least‐squares Petrov–Galerkin reduced order models
- Localized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive Enrichment
- A fast and accurate domain decomposition nonlinear manifold reduced order model
This page was built for publication: Train small, model big: scalable physics simulators via reduced order modeling and domain decomposition