Publications

Peer-reviewed journal articles

• M. Giacomini, P. Diez, Surrogates for physics-based and data-driven modelling of parametric systems: Review and New Perspectives. Submitted.

• J. Ellmenreich, P.L. Lederer, M. Giacomini, A. Huerta, Characteristic boundary conditions for Hybridizable Discontinuous Galerkin methods. Submitted.

• M. Discacciati, B.J. Evans, M. Giacomini, Local surrogate models with reduced dimensionality via overlapping domain decomposition and proper generalized decomposition. Submitted.

[J30] M. Giacomini, D. Cortellessa, L.M. Vieira, R. Sevilla, A. Huerta, A hybrid pressure formulation of the face-centred finite volume method for viscous laminar incompressible flows. International Journal for Numerical Methods in Engineering, to appear (2025). [journal] [arXiv]

[J29] A. Muixí, S. Zlotnik, M. Giacomini, P. Diez, Data augmentation for the POD formulation of the parametric laminar incompressible Navier-Stokes equations. International Journal for Numerical Methods in Engineering, 126(1):e7624 (2025). [journal] [arXiv]

[J28] T.B.J. Di Giusto, C.H. Lee, A.J. Gil, J. Bonet, C. Wood, M. Giacomini, A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518:113322 (2024). [journal]

[J27] L. M. Vieira, M. Giacomini, R. Sevilla, A. Huerta, A face-centred finite volume method for laminar and turbulent incompressible flows. Computers & Fluids, 279:106339 (2024). [journal] [arXiv]

[J26] S. Piccardo, M. Giacomini, A. Huerta, An unfitted high-order HDG method for two-fluid Stokes flow with exact NURBS geometries. Journal of Computational Physics, 512:113143 (2024). [journal] [arXiv]

[J25] T.B.J. Di Giusto, C.H. Lee, A.J. Gil, J. Bonet, M. Giacomini, A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125(15):e7467 (2024). [journal]

[J24] M. Discacciati, B.J. Evans, M. Giacomini, An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition. Computer Methods in Applied Mechanics and Engineering, 418:116484 (2024). [journal][arXiv]

[J23] C.H. Lee, P.R. Refachinho de Campos, A.J. Gil, M. Giacomini, J. Bonet, An entropy-stable Updated Reference Lagrangian Smoothed Particle Hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity. Computational Particle Mechanics, (2023). [journal]

[J22] J. Vila-Pérez, M. Giacomini, A. Huerta, Benchmarking the face-centred finite volume method for compressible laminar flows. International Journal of Numerical Methods for Heat & Fluid Flow, 33(6):2198–2231 (2023). [journal][arXiv] 

[J21] M. Giacomini, S. Perotto, Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information. Computers & Mathematics with Applications, 121:1-7 (2022). [journal][arXiv]

[J20] P.R. Refachinho de Campos, A.J. Gil, C.H. Lee, M. Giacomini, J. Bonet, A New Updated Reference Lagrangian Smooth Particle Hydrodynamics for isothermal elasticity and elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, 392:114680 (2022). [journal]

[J19] J. Vila-Pérez, M. Giacomini, R. Sevilla, A. Huerta, A non-oscillatory face-centred finite volume method for compressible flows. Computers & Fluids, 235:105272 (2022). [journal][arXiv] 

[J18] V. Tsiolakis, M. Giacomini, R. Sevilla, C. Othmer, A. Huerta, Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition. Journal of Computational Physics, 449:110802 (2022).  [journal][arXiv] 

[J17] M. Giacomini, L. Borchini, R. Sevilla, A. Huerta, Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms. Finite Elements in Analysis and Design, 196:103530 (2021). [journal][arXiv]

[J16] J. Vila-Pérez, M. Giacomini, R. Sevilla, A. Huerta, Hybridisable discontinous Galerkin formulation of compressible flows. Archives of Computational Methods in Engineering, 28(2):753-784 (2021). [journal][arXiv]

[J15] M. Giacomini, R. Sevilla, A. Huerta, HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB. Archives of Computational Methods in Engineering, 28(3):1941-1986 (2021). [journal][arXiv][code repository]

[J14] M. Giacomini, R. Sevilla, A second-order face-centred finite volume method on general meshes with automatic mesh adaptation. International Journal for Numerical Methods in Engineering, 121(23):5227-5255 (2020). [journal][arXiv].

[J13] R. Sevilla, L. Borchini, M. Giacomini, A. Huerta, Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows. Computer Methods in Applied Mechanics and Engineering, 372:113397 (2020). [journal][arXiv] 

[J12] A. La Spina, M. Kronbichler, M. Giacomini, W. Wall, A. Huerta, A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering, 372:113392 (2020). [journal][arXiv]

[J11] V. Tsiolakis, M. Giacomini, R. Sevilla, C. Othmer, A. Huerta, Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM. Computer Physics Communications, 249:107013 (2020). [journal][arXiv] 

[J10] A. La Spina, M. Giacomini, A. Huerta, Hybrid coupling of CG and HDG discretizations based on Nitsche's method. Computational Mechanics, 65:311–330 (2020). [journal][arXiv]

[J9] L. M. Vieira, M. Giacomini, R. Sevilla, A. Huerta, A second-order face-centred finite volume method for elliptic problems. Computer Methods in Applied Mechanics and Engineering, 358:112655 (2020). [journal][arXiv]

[J8] M. Giacomini, R. Sevilla, Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity. SN Applied Sciences, 1:1047 (2019). [journal][arXiv]

[J7] R. Sevilla, M. Giacomini, A. Huerta, A locking-free face-centred finite volume (FCFV) method for linear elasticity. Computers & Structures, 212:43-57 (2019). [journal][arXiv]

[J6] M. Giacomini, A. Karkoulias, R. Sevilla, A. Huerta, A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor. Journal of Scientific Computing, 77:1679-1702 (2018). [journal][arXiv]

[J5] R. Sevilla, M. Giacomini, A. Karkoulias, A. Huerta, A super-convergent hybridisable discontinuous Galerkin method for linear elasticity.  International Journal for Numerical Methods in Engineering, 116(2):91-116 (2018). [journal][arXiv]

[J4] R. Sevilla, M. Giacomini, A. Huerta, A face-centred finite volume method for second-order elliptic problems. International Journal for Numerical Methods in Engineering, 115(8):986-1014 (2018). [journal][arXiv]

[J3] M. Giacomini, An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations. Journal of Scientific Computing, 75:560-595 (2018). [journal][HAL][arXiv]

[J2] M. Giacomini, O. Pantz, K. Trabelsi, Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators. ESAIM: Control, Optimisation and Calculus of Variations, 23(3):977-1001 (2017). [journal][HAL][arXiv]

[J1] G. Dollé, O. Duran, N. Feyeux, E. Frénod, M. Giacomini, C. Prud’homme, Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++. ESAIM: Proceedings and Surveys, Special Issue Coupling multi-physics models involving fluids, E. Frénod, E. Maitre, A. Rousseau, S. Salmon and M. Szopos (eds.), 55:83-110 (2016). [book chapter][HAL][arXiv]

Book chapters

[B2] D. Cortellessa, M. Giacomini, A. Huerta, An OpenFOAM face-centred solver for incompressible flows robust to mesh distortion. In: Emerging Technologies in Computational Sciences for Industry, Sustainability and Innovation, M. Giacomini, S. Perotto, and G. Rozza (eds.), Lecture Notes in Computational Science and Engineering, Springer, (2025). [arXiv]
[B1] M. Giacomini, R. Sevilla, A. Huerta, Tutorial on hybridizable discontinuous Galerkin (HDG) formulation for incompressible flow problems. In: Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids, L. De Lorenzis and A. Düster (eds.), CISM International Centre for Mechanical Sciences, 599:163–201, Springer (2020). [book chapter][arXiv]

Peer-reviewed conference proceedings
[C2] J. Vazquez, M. Giacomini, J. Escareno, E. Rubio, H. Sossa, Optimal grasping points identification for a rotational four-fingered aerogripper. In 2015 Workshop on Research, Education and Development of Unmanned Aerial Systems (RED-UAS), pp. 272-277 (2015). [journal]

[C1] M. Giacomini, O. Pantz, K. Trabelsi, An a posteriori error estimator for shape optimization: application to EIT. Journal of Physics: Conference Series 657 012004 (2015). [journal][HAL]

Research reports
[R3] J. Vila-Pérez, M. Giacomini, R. Sevilla, A. Huerta, An HLL Riemann solver for the hybridised discontinuous Galerkin formulation of compressible flows. [arXiv]

[R2] M. Giacomini, O. Pantz, K. Trabelsi, Volumetric expressions of the shape gradient of the compliance in structural shape optimization. [HAL][arXiv]

[R1] M. Giacomini, J.-A. Désidéri, R. Duvigneau, Comparison of multiobjective gradient-based methods for structural shape optimization.  [HAL]