Results 41 to 50 of about 29,809 (206)
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
On local Fourier analysis of multigrid methods for PDEs with jumping and random coefficients [PDF]
In this paper, we propose a novel non-standard Local Fourier Analysis (LFA) variant for accurately predicting the multigrid convergence of problems with random and jumping coefficients.
Gaspar, Francisco J. +3 more
core +2 more sources
ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim +4 more
wiley +1 more source
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
A robust multigrid method for the time-dependent Stokes problem [PDF]
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
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
Indeed, No Need for HMPA! A DFT Study Comparing the Lewis Basicity of Phosphoric Acid Triamides
High‐level density functional theory calculations of the interactions of protons, lithium cations, and samarium(II) and samarium(III) species with a series of Lewis bases reveal that TPPA and HAPO‐2 are stronger donor compounds than HMPA. Therefore, they should by excellent substitutes of carcinogenic and mutagenic HMPA in many reactions.
Luca Steiner +3 more
wiley +1 more source
Combined Preconditioning with Applications in Reservoir Simulation
We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: (1) a norm-convergent iterative method (i.e. smoother) and (2) a preconditioner. The resulting
Hu, Xiaozhe +6 more
core +1 more source
Self-gravitational Magnetohydrodynamics with Adaptive Mesh Refinement for Protostellar Collapse [PDF]
A new numerical code, called SFUMATO, for solving self-gravitational magnetohydrodynamics (MHD) problems using adaptive mesh refinement (AMR) is presented. A block-structured grid is adopted as the grid of the AMR hierarchy.
Matsumoto, Tomoaki
core +5 more sources
Uniform Gas Flow Distribution into Several Partial Flows under Consideration of Closable Outlets
The uniform distribution of a gas flow into several partial flows poses a challenge in various technical fields. This study presents a static flow distributor design that ensures an equal distribution of an inlet gas flow regardless of the flow rate and the number of open outlets.
Nikolas Schmidt +3 more
wiley +1 more source

