Finite Element Method and Applications in Mathematical Modeling and Engineering: Modeling, Analysis, and Simulations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".
Deadline for manuscript submissions: 31 October 2025 | Viewed by 268
Special Issue Editors
Interests: finite element method; topology optimization; wave propagation; acoustic metamaterials
Interests: computational mechanics; fracture mechanics; deep learning; boundary element method
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The growing demand for high-precision numerical methods that address complex engineering challenges—such as acoustic metamaterial design, multiphysics-coupled systems, and wave-dominated phenomena—has positioned the Finite Element Method (FEM) at the forefront of interdisciplinary research. Innovations in FEM, particularly when integrated with advanced numerical algorithms for wave equation solvers and topology-driven material optimization, are redefining traditional boundaries. This Special Issue seeks to compile cutting-edge research that combines theoretical advancements in FEM with industrial applications, fostering synergy between mathematical rigor and practical engineering solutions.
This Special Issue focuses on novel FEM applications in wave propagation problems and topology optimization, emphasizing algorithmic developments, computational efficiency enhancements, and multiscale modeling frameworks. Aligning with the journal’s scope of "Interdisciplinary Research in Mathematical Modeling and Computational Engineering," this Special Issue highlights the transformative role of mathematical tools in addressing real-world engineering challenges. We aim to curate a collection of 10+ high-quality articles to establish a dialogue between academia and industry.
Original research and review articles are welcome. The scope of this Special Issue includes, but is not limited to, the following topics:
- Topology optimization of acoustic/elastic metamaterials;
- Efficient FEM discretizations for nonlinear wave equations;
- GPU-accelerated FEM techniques and adaptive mesh refinement;
- Hybrid numerical methods for multiphysics-coupled systems;
- Inverse design algorithms and uncertainty quantification via FEM.
We look forward to receiving your outstanding contributions!
Prof. Dr. Shengdong Zhao
Prof. Dr. Yan Gu
Guest Editors
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 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 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.
Keywords
- finite element method
- topology optimization
- wave propagation
- acoustic metamaterials
- numerical PDEs
- high-performance computing
- inverse problems
- engineering applications
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