Learning preconditioners for conjugate gradient PDE solvers
Efficient numerical solvers for partial differential equations empower science and
engineering. One commonly employed numerical solver is the preconditioned conjugate …
engineering. One commonly employed numerical solver is the preconditioned conjugate …
Mmgp: a mesh morphing gaussian process-based machine learning method for regression of physical problems under nonparametrized geometrical variability
When learning simulations for modeling physical phenomena in industrial designs,
geometrical variabilities are of prime interest. While classical regression techniques prove …
geometrical variabilities are of prime interest. While classical regression techniques prove …
Neural non-rigid tracking
We introduce a novel, end-to-end learnable, differentiable non-rigid tracker that enables
state-of-the-art non-rigid reconstruction by a learned robust optimization. Given two input …
state-of-the-art non-rigid reconstruction by a learned robust optimization. Given two input …
Adaptive precision block-Jacobi for high performance preconditioning in the Ginkgo linear algebra software
The use of mixed precision in numerical algorithms is a promising strategy for accelerating
scientific applications. In particular, the adoption of specialized hardware and data formats …
scientific applications. In particular, the adoption of specialized hardware and data formats …
Neural incomplete factorization: learning preconditioners for the conjugate gradient method
Finding suitable preconditioners to accelerate iterative solution methods, such as the
conjugate gradient method, is an active area of research. In this paper, we develop a …
conjugate gradient method, is an active area of research. In this paper, we develop a …
A deep conjugate direction method for iteratively solving linear systems
We present a novel deep learning approach to approximate the solution of large, sparse,
symmetric, positive-definite linear systems of equations. Motivated by the conjugate …
symmetric, positive-definite linear systems of equations. Motivated by the conjugate …
On the geometry transferability of the hybrid iterative numerical solver for differential equations
The discovery of fast numerical solvers prompted a clear and rapid shift towards iterative
techniques in many applications, especially in computational mechanics, due to the …
techniques in many applications, especially in computational mechanics, due to the …
Sustainable computational mechanics assisted by deep learning
A Oishi, G Yagawa - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
This paper proposes a method to promote power saving in the computational mechanics
simulations by deep learning. The method is expected to contribute to the achievement of …
simulations by deep learning. The method is expected to contribute to the achievement of …
Performance Study of Convolutional Neural Network Architectures for 3D Incompressible Flow Simulations
Recently, correctly handling spatial information from multiple scales has proven to be
essential in Machine Learning (ML) applications on Computational Fluid Dynamics (CFD) …
essential in Machine Learning (ML) applications on Computational Fluid Dynamics (CFD) …
Neural Acceleration of Graph Based Utility Functions for Sparse Matrices
JD Booth, GS Bolet - IEEE Access, 2023 - ieeexplore.ieee.org
Many graph-based algorithms in high performance computing (HPC) use approximate
solutions due to having algorithms that are computationally expensive or serial in nature …
solutions due to having algorithms that are computationally expensive or serial in nature …