We present, on the simplest possible case, what we consider as the very basic features of the (brand new) virtual element method. As the readers will easily recognize, the virtual element method could easily be regarded as the ultimate evolution of the mimetic finite differences approach. However, in their last step they became so close…
Mathematical Models and Methods in Applied Sciences Template
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About the Mathematical Models and Methods in Applied Sciences format
Mathematical Models and Methods in Applied Sciences is a peer-reviewed journal published by World Scientific, covering Advanced Mathematical Modeling in Engineering, Advanced Numerical Methods in Computational Mathematics, Mathematical Biology Tumor Growth.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Mathematical Models and Methods in Applied Sciences 12, 45–58 (2023).
Formats any DOI in the closest standard style — Mathematical Models and Methods in Applied Sciences has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Advanced Mathematical Modeling in Engineering Advanced Numerical Methods in Computational Mathematics Mathematical Biology Tumor Growth Navier-Stokes equation solutions Computational Fluid Dynamics and Aerodynamics |
| ISSN | 0218-2025 |
| Citation impact (2-yr) | 2.72 |
| h-index | 117 |
| i10-index | 1,469 |
| Total citations | 75,392 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Mathematical Models and Methods in Applied Sciences
This paper proposes a survey and critical analysis focused on a variety of chemotaxis models in biology, namely the classical Keller–Segel model and its subsequent modifications, which, in several cases, have been developed to obtain models that prevent the non-physical blow up of solutions. The presentation is organized in three parts. The first part focuses…
We present the essential ingredients in the Virtual Element Method for a simple linear elliptic second-order problem. We emphasize its computer implementation, which will enable interested readers to readily implement the method.
Not long ago it was thought that the most important characteristics of the mechanics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic, nearly incompressible, viscoelastic behavior over finite strains. Indeed, these properties endow soft tissues with unique structural capabilities that continue to be extremely challenging to quantify via constitutive relations.…
We begin the mathematical study of Isogeometric Analysis based on NURBS (non-uniform rational B-splines). Isogeometric Analysis is a generalization of classical Finite Element Analysis (FEA) which possesses improved properties. For example, NURBS are capable of more precise geometric representation of complex objects and, in particular, can exactly represent many commonly engineered shapes, such as cylinders,…