Advances in Finite Element Modeling and Mathematical Optimization for Engineering
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 31 May 2026 | Viewed by 1
Special Issue Editor
Interests: materials development; degradation; EBC; CMC; characterization; life model validation; high temperature; performance; NDE; finite elements; fatigue; composite materials
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Recent advances in computational mechanics and data-driven engineering have significantly expanded the role of finite element modeling (FEM) and mathematical optimization across numerous disciplines, including structural mechanics, thermal systems, advanced materials, and energy technologies. These tools are now essential for predicting complex behavior, simulating damage evolution, optimizing performance, and reducing experimental costs.
This Special Issue invites original research papers, technical reviews, and case studies focusing on recent developments in finite element modeling techniques, optimization strategies, and their integration in engineering design and analysis. Topics of interest include innovative FEM formulations, meshless methods, multiphysics coupling, topology and shape optimization, machine learning-enhanced FEM, and reduced-order modeling approaches for engineering applications.
Submissions that link experimental validation with numerical modeling, leverage digital twin frameworks, or apply FEM in the context of nonlinear, time-dependent, or failure-driven behavior are particularly encouraged. Research across all engineering domains—including aerospace, civil, mechanical, materials, energy, and biomedical—is welcome.
Topics of interest include, but are not limited to, the following:
- Finite element analysis of nonlinear and anisotropic materials;
- Multiscale and multiphysics modeling frameworks;
- Optimization in structural, thermal, and fluid systems;
- Machine learning-augmented FEM and surrogate models;
- Cohesive zone and fracture mechanics models;
- Digital twins and real-time finite element updating;
- Inverse modeling, uncertainty quantification, and probabilistic methods;
- FEM applied to composites, superalloys, ceramics, and smart materials;
- Model validation using DIC, CT, NDE, or experimental mechanics.
Dr. Ali Abdul-Aziz
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 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 modeling
- mathematical optimization
- multiscale mechanics
- nonlinear analysis
- surrogate modeling
- digital twins
- inverse problems
- fracture and fatigue
- topology optimization
- structural reliability
- damage mechanics
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