Recent Advances in Finite Element Methods with Applications

Dear Colleagues,

The finite element method is an important tool used in applied sciences. In close association with computational mechanics, it has been increasingly applied across various fields, such as engineering, material sciences, environmental sciences, medicine, biology, as well as physics and chemistry, and so forth. The finite element method also motivates extensive research on mathematics, providing specific structures for the firm theoretical foundation.

This Special Issue, entitled “Recent Advances in Finite Element Methods with Applications”, aims to collect recent advances in the construction, theoretical analysis, implementation, and application of finite element methods. We invite investigators to contribute high-quality original research articles as well as review articles on recent advances in the following methods:

• finite element algorithms and mathematical theories for both classical and new model problems;
• applications of the method for real world problems, either on a specific problem or about the trend of a whole area, where finite element methods are used as research tools or as conceptual foundations;
• developments and principles of finite element software packages and platforms, as well as new techniques for a mid-way step, such as mesh generation.

Potential topics include, but are not limited to, Navier–Stokes equations, Magnetohydrodynamic equations, Boussinesq equations, Einstein equation, large deformation elasticity, computational biomechanics and biomathematics, medical engineering, mathematical theories of finite element methods, the interplay of finite element methods and machine learning, and so forth. The Special Issue is open to all kinds of finite element methods, and to advanced implementation approaches of the methods.

Dr. Shuo Zhang
Guest Editor

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 submissions that pass pre-check are 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 250 words) can be sent to the Editorial Office for assessment.

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 2600 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.