The repository contains examples and programs from the book “Parallel Software for the Robust Multigrid Technique” by S. I. Martynenko, Triumph, Moscow, 2021. Complete text of the book in Russian is ...

Group of Water Supply and Groundwater Protection, Institute IWAR, Department of Civil Engineering and Geodesy, Technical University of Darmstadt, Darmstadt, Germany. This paper presents a numerical ...

このノートは以下のノートに関係するものです． Recap：反復法による解法と弱点 Poisson 方程式や，Helmholtz 方程式など，線形な偏微分方程式を数値的に解く． 式（1）：線形演算子 $${\mathcal{L}}$$ を持つ方程式． Poisson 方程式や，Helmholtz 方程式などが ...

Abstract: To model the responses of borehole electromagnetic sensing in complicated geological environments, the geometric multigrid preconditioned finite-difference frequency-domain (FDFD) method is ...

In [1], the author introduced a wavelet multigrid method that used the wavelet transform to define the coarse grid, interpolation, and restriction operators for the multigrid method. In this paper, we ...

The repository contains examples and programs from the book “Sequential Software for the Robust Multigrid Technique” by S. I. Martynenko, Triumph, Moscow, 2020. Complete text of the book in Russian is ...

Abstract: A multigrid inversion approach that uses variable resolutions of both the data space and the image space is proposed. Since the computational complexity of inverse problems typically ...

Cascadic multigrid methods represent a class of iterative solvers that have been developed to efficiently tackle the large-scale linear systems arising from the discretisation of partial differential ...

The major objective of the project is to utilize the fast nature of multigrid to image warping and build an interactive image warping program with both good local controls and smooth transition. There ...

This paper unifies multigrid and multilevel (hierarchical) preconditioners, two widely-used approaches for solving computational photography and other computer graphics simulation problems. It ...

The solution of the Poisson equation is a crucial step in electronic structure calculations, yielding the electrostatic potential—a key component of the quantum mechanical Hamiltonian. In recent ...