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 ...
Numerically solving linear partial differential equations such as the Poisson equation or the Helmholtz equation. Equation (1): An equation with a linear operator $$\mathcal{L}$$. The Poisson equation ...
Abstract: To model the responses of borehole electromagnetic sensing in complicated geological environments, the geometric multigrid preconditioned finite-difference frequency-domain (FDFD) method is ...
Abstract: A nesting combination of the finite element domain decomposition method and the algebraic multigrid method is presented in this paper, which does not use the algebraic multigrid method as a ...
A large system of equations comes out from discretization of the domain of partial differential equations into a collection of points and the optimal method for solving these problems is multigrid ...
In contrast to the standard algebraic multigrid, the Wavelet-based Algebraic Multigrid method relies more strongly on the smoothing method because the coarse spaces are chosen a priori. So, it is very ...
This paper proposes a new method for data assimilation of the surface radial current observed by High Frequency ground wave radar and optimization of the bottom friction coefficient. In this method, ...
This project was part of the course ID5130 Parallel Scientific Computing taken during the Jan-May 2024 semester. The main objective of this work is to parallelize the multigrid method using OpenMP for ...
TGMG is a software library for solving a class of elliptic partial differential equations on two-dimensional rectangular grids using the multigrid method. A defining characteristic of the library is ...
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Contact detection is a general problem of many physical simulations. This work presents a O(N) multigrid method for general contact detection problems (MGCD). The multigrid idea is integrated with ...
Multigrid methods play a key role in large-scale scientific simulation because they are among the fastest and most scalable approaches for solving systems of equations. They are widely used to solve ...