Go to:
Logótipo
You are here: Start > Departments > Department of Mechanical Engineering > Mathematics Section

Departments

Mathematics Section

Acronym: DEMec SMAT
Head: Carlos Alberto Conceição António
Mission: The mission of the Mathematics Section of the Department of Mechanical Engineering is to provide introductory and advanced teaching in the disciplinary areas of mathematics, computer programming, numerical methods and optimisation. This mission aims to educate and train future professionals in Mechanical Engineering, Metallurgical and Materials Engineering, Informatics and or Computational Engineering (Computational Mechanics) and related areas.
Description: The Mathematics Section (SMAT) ensures the teaching of curricular units in the areas of Mathematics for Engineering, Numerical Methods in Engineering, Programming and Computing, in the bachelor's, master's and doctoral degrees taught in the Department, and its members collaborate in fundamental and applied research projects, as well as others developed within the scope of the other sections. In particular, 
  •    in Education are taught:

        - Linear Algebra and Analytic Geometry (1st cycle of studies);
        - Mathematical Analysis I (differential and integral calculus in R, 1st cycle of studies);
        - Mathematical Analysis II (differential and integral calculus in Rn, 1st cycle of studies);
        - Mathematical Analysis III (advanced topics, 1st cycle of studies);
        - Numerical Analysis (1st cycle of studies);
        - Computer Programming / Programming and Computing (1st cycle of studies);
        - Optimisation of mechanical systems (2nd cycle, optimal design);
        - Approximation methods in engineering (3rd cycle);
        - Optimisation (3rd cycle, advanced optimal design);
        - Probabilistic Mechanics and Reliability (3rd cycle);
        - Optional curricular units of the Master's Degree in Computational Mechanics.

  •    in Research and Development:

         SMAT members have accumulated experience or research in the following areas:

         - Finite Element Method structural analysis formulations including material non-linear behaviour
           and geometric non-linear behaviour, large deformations, etc..;
         - Analysis of safety and deterministic and probabilistic structural integrity;
         - Multiscale fatigue and fracture analysis of engineering materials and structures;
         - Analysing the propagation of uncertainties in mechanical systems (robustness and reliability);
         - Numerical simulation of plastic forming processes (extrusion, rolling, forging, etc.);
         - Bio-engineering simulation models on the behaviour of blood and other vital functions of the human body;
         - Simulation models using the Finite Volume Method for viscoelastic fluid flows;
         - Analytical methods of asymptotic analysis for solid mechanical problems;
         - Analytical and numerical methods of linear stability for compressible flows;
         - Numerical-experimental methods applied to cutting with chip lifting (drilling,
           turning, milling, etc.);
         - Surrogate models (polynomial approximation, Artificial Neural Networks, etc.);
         - Analytical and semi-analytical methods for analysing sensitivities (adjoint variable,
           direct differentiation, etc.)
         - Formulation, development and implementation of optimisation algorithms based on gradients
           and optimality criteria;
         - Formulation, development and implementation of bio-inspired algorithms based on evolutionary research.
           evolutionary research (genetic algorithms, memetic algorithms, hybrid algorithms, etc.) and swarm intelligence
          (particle swarm optimization (PSO, ant colony optimization (ACO), Bee colony optimization (BCO), etc.).
E-mail: cantonio@fe.up.pt
Zip code: 4200-465
Location: Porto
Recommend this page Top
Copyright 1996-2025 © Faculdade de Engenharia da Universidade do Porto  I Terms and Conditions  I Accessibility  I Index A-Z  I Guest Book
Page generated on: 2025-06-13 at 11:02:24 | Acceptable Use Policy | Data Protection Policy | Complaint Portal