Mathematical Modeling Applied to the Analysis of Marine Structures

Dear Colleagues,

The rapid expansion of offshore engineering activities, driven by both the oil and gas industry and the growing offshore renewable energy sector, has led to increasingly complex challenges in the analysis and design of marine structures. In this context, mathematical modeling plays a fundamental role in improving predictive capabilities, enhancing structural reliability, and supporting decision-making processes under uncertainty.

This Special Issue of MDPI Mathematics aims to gather high-quality contributions that address recent advances in mathematical modeling techniques for the analysis of marine structures. The focus is on the development and application of robust analytical, numerical, and data-driven methods to capture the complex behavior of offshore systems under realistic environmental and operational conditions.

We welcome original research articles and review papers covering, but not limited to, the following topics:

• Statistical methods for response assessment of floating and slender offshore structures, including applications in oil & gas and offshore wind systems.
• Mathematical modeling of metocean data with emphasis on structural analysis.
• Numerical methods for global and local analysis of flexible pipes
• Numerical methods for reliability analysis and design of risers and mooring lines.
• Numerical and analytical approaches for stochastic fatigue analysis.
• Mathematical and computational methods for digital twins of marine structures.
• Numerical approaches for structural life extension assessment.
• Artificial intelligence and data-driven models applied to marine structural analysis.

Contributions addressing multi-physics phenomena, uncertainty quantification, and the integration of experimental, numerical, and analytical approaches are particularly encouraged. Papers that bridge the gap between theoretical developments and engineering applications are especially welcome.

This Special Issue seeks to provide a comprehensive overview of state-of-the-art methodologies while fostering interdisciplinary collaboration between researchers and industry professionals working in offshore engineering and applied mathematics.

We look forward to receiving your contributions.

Prof. Dr. José Renato Mendes De Sousa
Prof. Dr. Luis Volnei Sudati Sagrilo
Dr. Paulo Maurício Videiro
Guest Editors

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• mathematical modeling
• marine structures
• offshore engineering
• stochastic analysis
• numerical methods