Results 71 to 80 of about 37,043 (186)

Physics‐Driven Deep Neural Networks for Solving the Optimal Transport Problem Associated With the Monge–Ampère Equation

CAAI Transactions on Intelligence Technology, Volume 11, Issue 1, Page 15-25, February 2026.
ABSTRACT Monge–Ampère equations (MAEs) are fully nonlinear second‐order partial differential equations (PDEs), which are closely related to various fields including optimal transport (OT) theory, geometrical optics and affine geometry. Despite their significance, MAEs are extremely challenging to solve.
Xinghua Pan, Zexin Feng, Kang Yang
wiley   +1 more source

A robust multigrid method for the time-dependent Stokes problem [PDF]

, 2013
In the present paper we propose an all-at-once multigrid method for generalized Stokes flow problems. Such problems occur as subproblems in implicit time-stepping approaches for time-dependent Stokes problems. The discretized optimality system is a large
Takacs, Stefan
core   +1 more source

Large Scale Electronic Structure Calculations with Multigrid Acceleration

, 1995
We have developed a set of techniques for performing large scale ab initio calculations using multigrid accelerations and a real-space grid as a basis. The multigrid methods permit efficient calculations on ill-conditioned systems with long length scales
A. Brandt, A. Brandt, C. Kittel, D. J. Sullivan, D. W. Brenner, E. L. Briggs, F. Mauri, G. Galli, I. Stich, J. Bernholc, J. Bernholc, J. R. Chelikowsky, J. R. Chelikowsky, J. Tersoff, J. Tersoff, J. Tersoff, K. D. Brommer, M. C. Payne, P. Bogusławski, P. Ordejón, T. A. Arias, T. A. Arias, W. E. Pickett, W. L. Briggs, X. Jing   +24 more
core   +1 more source

Autotuning multigrid with PetaBricks [PDF]

Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, 2009
Algorithmic choice is essential in any problem domain to realizing optimal computational performance. Multigrid is a prime example: not only is it possible to make choices at the highest grid resolution, but a program can switch techniques as the problem is recursively attacked on coarser grid levels to take advantage of algorithms with different ...
Chan, Cy, Wong, Yee Lok, Edelman, Alan, Ansel, Jason Andrew, Amarasinghe, Saman P.   +4 more
openaire   +4 more sources

On the Rotation‐Induced Pressure‐Strain Correlation in Rotating Boundary Layer Flows

Geophysical Research Letters, Volume 53, Issue 2, 28 January 2026.
Abstract Rotation is a fundamental feature of many weather systems. The pressure‐strain correlation plays an important role in the Reynolds stress budget. However, the behavior of the pressure‐strain correlation under rotation remains insufficiently explored. This study develops a closure model for the rotation‐induced pressure‐strain correlation.
Xin Shao, Ning Zhang
wiley   +1 more source

FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube

, 2016
In this work, we benchmark and discuss the performance of the scalable methods for the Poisson problem which are used widely in practice: the fast Fourier transform (FFT), the fast multipole method (FMM), the geometric multigrid (GMG), and algebraic ...
Biros, George, Gholami, Amir, Malhotra, Dhairya, Sundar, Hari   +3 more
core   +1 more source

A NetCDF version of the two-dimensional energy balance model based on the full multigrid algorithm

SoftwareX, 2017
A NetCDF version of the two-dimensional energy balance model based on the full multigrid method in Fortran is introduced for both pedagogical and research purposes. Based on the land–sea–ice distribution, orbital elements, greenhouse gases concentration,
Kelin Zhuang, Gerald R. North, Mark J. Stevens   +2 more
doaj   +1 more source

Effects of Triangular Nozzle Geometry on the Deformation and Breakup of Liquid Jets in Crossflow

Chemical Engineering &Technology, Volume 49, Issue 1, January 2026.
This study numerically investigates the deformation and breakup of liquid jets in air crossflow from triangular and circular nozzles using Newtonian and shear‐thinning fluids. The analysis highlights how non‐circular geometry and rheology jointly govern jet instability through variations in viscosity, pressure, and energy transfer. The findings advance
Yasuhiro Saito, Shota Nakashima, Ayuki Minami   +2 more
wiley   +1 more source

Inverse Problem for the Nonlinear Convection–Diffusion Equation by Using the Multigrid Method and Constraint Data

Mathematics
In the article, we propose a combination method based on the multigrid method and constraint data to solve the inverse problem in the context of the nonlinear convection–diffusion equation in the multiphase porous media flow. The inverse problem consists
Shuai Wang, Shiyi Ling, Heyang Chao, Yunfei Qi, Wenwen Zhang, Qiang Ma, Tao Liu   +6 more
doaj   +1 more source

A regional implementation of a mixed finite‐element, semi‐implicit dynamical core

Quarterly Journal of the Royal Meteorological Society, Volume 152, Issue 774, January 2026 Part A.
A regional version of a new dynamical core with an iterated semi‐implicit time discretisation and mixed finite‐element spatial discretisation is described. This involves modifying the mixed‐system and Helmholtz‐preconditioner equations to use lateral boundary condition (LBC) data specified by a driving model.
Christine Johnson, Ben Shipway, Thomas Melvin, Thomas Bendall, James Kent, Ian Boutle, Alex Brown, Mohamed Zerroukat, Benjamin Buchenau, Nigel Wood   +9 more
wiley   +1 more source