Results 51 to 60 of about 6,260 (222)
The algebraic multigrid (AMG) method is used to solve linear systems of equations on a series of progressively coarser grids and has recently attracted significant attention for image segmentation due to its high efficiency and robustness. In this paper,
Haiwei Song, Yi Wang
doaj +1 more source
Affinification: A Fine Approximation of Deformations
Abstract We introduce affinification, a novel method for accelerating physics‐based animation of elastic solids. During a time‐dependent simulation, our method automatically partitions the space into affine and elastic regions depending on the deformation.
A. Mercier‐Aubin +3 more
wiley +1 more source
Computational Aerodynamics on unstructed meshes [PDF]
New 2D and 3D unstructured-grid based flow solvers have been developed for simulating steady compressible flows for aerodynamic applications. The codes employ the full compressible Euler/Navier-Stokes equations.
Zheng, Yun
core
A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner
This work introduces a new parallel wavelet-based algorithm for algebraic multigrid method (PWAMG) using a variation of the standard parallel implementation of discrete wavelet transforms.
Fabio Henrique Pereira +1 more
doaj +1 more source
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
Application of a solution-adaptive multigrid method to the Euler equations [PDF]
A locally refined multigrid method for solving the steady Euler equations of gas dynamics is presented. The method makes use of grids in a locally nested sequence. It is briefly described and next applied to some steady Euler flow problems.
Maarel, van der, H.T.M. +13 more
core
Distributed Multigrid Neural Solvers on Megavoxel Domains
We consider the distributed training of large-scale neural networks that serve as PDE solvers producing full field outputs. We specifically consider neural solvers for the generalized 3D Poisson equation over megavoxel domains.
Adavani, Santi +8 more
core
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
The numerical treatment of curved boundary surfaces in an unfitted grid formulation for computational fluid dynamics [PDF]
In this thesis a new Cartesian cut-cell scheme has been presented which solves the in- compressible Navier-Stokes equations using a finite volume approach and a staggered grid.
Gao, Zaixiang
core
Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
wiley +1 more source

