Special Issue "Modern Finite Element Methods"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (30 June 2018).
The numerical approximation of partial differential systems of equations is a very lively field with the Finite Element Method (FEM) at its core, especially with the development of discontinuous Galerkin approximations and a-posteriori error estimations for mesh refinements. Multiscale problems require special finite element methods, such as Xfem, multiscale elements and mimetic methods. Large industrial applications lead also to research on 3-dimensional time dependent problems with uncertainties on the data, optimization and control. For these domain decomposition algorithm and level sets based methods are being investigated and moving mesh techniques, model coupling, sparse grids isoparametric high degree elements and isogeometric elements, to name a few. Finally, any tool which makes the computer implementation easier is a useful research as well; it covers high level dedicated languages like Fenics and FreeFem but also C++ toolboxes or others.
Prof. Dr. Olivier Pironneau
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- Innovative Finite Element Method
- Galerkin discontuous methods
- Mimetic methods with polygonal elements
- Time dependent meshes and remeshing
- Iso parametric high degree elements
- Multiscale elements
- Domain decomposition FEM
- Sparse Grid FEM
- Isogeometric elements
- Level sets based FEM optimization
- C++ FEM Toolbox