This paper presents several results concerning the vector potential which can be associated with a divergence-free function in a bounded three-dimensional domain. Different types of boundary conditions are given, for which the existence, uniqueness and regularity of the potential are studied. This is applied firstly to the finite element discretization of these potentials and secondly…
Mathematical Methods in the Applied Sciences Template
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About the Mathematical Methods in the Applied Sciences format
Mathematical Methods in the Applied Sciences is a peer-reviewed journal published by Wiley, covering Advanced Mathematical Modeling in Engineering, Fractional Differential Equations Solutions, Stability and Controllability of Differential Equations. Over its lifetime it has published 12,945 papers, which have received 135,660 citations.
| Publisher | Wiley |
|---|---|
| Reference style | Author–year (Chicago) Author–year — (Smith, 2023) in the text Smith, Ada, Ben Jones, and Cara Lee. 2023. "A Representative Article Title." Mathematical Methods in the Applied Sciences 12 (3): 45–58.
Formats any DOI in Mathematical Methods in the Applied Sciences style. No sign-up. |
| Publishes research in | Advanced Mathematical Modeling in Engineering Fractional Differential Equations Solutions Stability and Controllability of Differential Equations Advanced Mathematical Physics Problems Nonlinear Differential Equations Analysis |
| ISSN | 0170-4214 |
| Citation impact (2-yr) | 1.77 |
| h-index | 109 |
| i10-index | 3,767 |
| Article processing charge | $4,530 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | onlinelibrary.wiley.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Mathematical Methods in the Applied Sciences
Mixed convection is a mechanism of heat transport in a thermodynamic system in which the motion of fluid particles is produced by gravity as well as external forces like fans, pumps, or any other devices. Such type of heat transport has a fruitful application in daily life due to reliable maintenance. In this regard, numerous…
This paper is devoted to the study of the initial value problem of nonlinear fractional differential equations involving a Caputo‐type fractional derivative with respect to another function. Existence and uniqueness results for the problem are established by means of the some standard fixed point theorems. Next, we develop the Picard iteration method for solving numerically…
Abstract The paper is concerned with boundary singularities of weak solutions of boundary value problems governed by the biharmonic operator. The presence of angular corner points or points at which the type of boundary condition changes in general causes local singularities in the solution. For that case the general theory of V. A. Kondrat'ev provides…
Abstract This paper is devoted to the study of a three dimensional model of elastic periodic plate when the thickness e of the plate and the size ω of the periods are small. In the three studied limits ( e → 0 then ω → 0), (ω → 0 then e → 0) and lately…