A novel iterative method for discrete Helmholtz decomposition
نویسندگان
چکیده
منابع مشابه
A discrete weighted Helmholtz decomposition and its application
We propose a discrete weighted Helmholtz decomposition for edge element functions. The decomposition is orthogonal in a weighted L inner product and stable uniformly with respect to the jumps in the discontinuous weight function. As an application, the new Helmholtz decomposition is applied to demonstrate the quasi-optimality of a preconditioned edge element system for solving a saddle-point Ma...
متن کاملA Novel Method for the Synthesis of CaO Nanoparticle for the Decomposition of Sulfurous Pollutant
In this research, CaO (calcium oxide) nanoparticles were synthesized by Co-Precipitation method in the absence and presence of Polyvinylpyrrolidone (PVP) via using calcium (II) nitrate. The Polyvinylpyrrolidone (PVP) was used as a capping agent to control the agglomeration of the nanoparticles. The synthesized samples were characterized via SEM, XRD and FTIR techniques. The average sizes of nan...
متن کاملA discrete Adomian decomposition method for discrete nonlinear Schrödinger equations
We present a new discrete Adomian decomposition method to approximate the theoretical solution of discrete nonlinear Schrödinger equations. The method is examined for plane waves and for single soliton waves in case of continuous, semi– discrete and fully discrete Schrödinger equations. Several illustrative examples and Mathematica program codes are presented.
متن کاملA primal formulation for the Helmholtz decomposition
In 1999, Jean-Paul Caltagirone and Jérôme Breil have developed in their paper [Caltagirone, J. Breil, Sur une méthode de projection vectorielle pour la résolution des équations de Navier–Stokes, C.R. Acad. Sci. Paris 327(Série II b) (1999) 1179–1184] a new method to compute a divergence-free velocity. They have used the grad(div) operator to extract the solenoidal part of a given vector field. ...
متن کاملFinding the polar decomposition of a matrix by an efficient iterative method
Theobjective in this paper to study and present a new iterative method possessing high convergence order for calculating the polar decompostion of a matrix. To do this, it is shown that the new scheme is convergent and has high convergence. The analytical results are upheld via numerical simulations and comparisons.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Numerical Mathematics
سال: 2020
ISSN: 0168-9274
DOI: 10.1016/j.apnum.2019.12.025