Journal Articles

Discacciati, M, Evans, B, Giacomini, M (2026) An overlapping domain decomposition method for parametric Stokes and Stokes-Darcy problems via proper generalized decomposition, Computer Methods in Applied Mechanics and Engineering, 455, 118878, ISSN: 0045-7825. DOI: 10.1016/j.cma.2026.118878.

Discacciati, M, Evans, BJ, Giacomini, M (2026) PGD-based local surrogate models via overlapping domain decomposition: A computational comparison, Finite Elements in Analysis and Design, 253, pp.104475-104475, ISSN: 0168-874X. DOI: 10.1016/j.finel.2025.104475.

Strohbeck, P, Discacciati, M, Rybak, I (2025) Optimized Schwarz method for the Stokes–Darcy problem with generalized interface conditions, Journal of Computational and Applied Mathematics, 477(2026), 117141, ISSN: 0377-0427. DOI: 10.1016/j.cam.2025.117141.

Miller, S, Renzi, E, Discacciati, M (2025) Taylor consistent discretisation of the Laplace operator in the moving particle semi-implicit method, Journal of Computational and Applied Mathematics, 475, 117000, ISSN: 0377-0427. DOI: 10.1016/j.cam.2025.117000.

Discacciati, M and Gervasio, P (2024) A coupling concept for Stokes-Darcy systems: the ICDD method, Journal of Computational Physics, 513(2024), 113204, ISSN: 0021-9991. DOI: 10.1016/j.jcp.2024.113204.

Discacciati, M and Gervasio, P (2024) A coupling concept for Stokes-Darcy systems: The ICDD method, J. Comput. Phys, 513, pp.113204-113204.

Discacciati, M, Evans, B, Giacomini, M (2023) An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition, Computer Methods in Applied Mechanics and Engineering, 418(Part A), 116484, ISSN: 0045-7825. DOI: 10.1016/j.cma.2023.116484.

Discacciati, M, Garetto, C, Loizou, C (2023) On the wave equation with space dependent coefficients: singularities and lower order terms, Acta Applicandae Mathematicae, 187(1), 10, ISSN: 0167-8019. DOI: 10.1007/s10440-023-00601-6.

Discacciati, M and Vanzan, T (2023) Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling, IMA Journal of Numerical Analysis, 44(4), pp.2251-2276, ISSN: 0272-4979. DOI: 10.1093/imanum/drad057.

Caucao, S and Discacciati, M (2023) A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem, Applied Numerical Mathematics, 190, pp.138-154, ISSN: 0168-9274. DOI: 10.1016/j.apnum.2023.04.014.

Eggenweiler, E, Discacciati, M, Rybak, I (2022) Analysis of the Stokes-Darcy problem with generalised interface conditions, ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 56(2), pp.727-742, ISSN: 2822-7840. DOI: 10.1051/m2an/2022025.

Discacciati, M, Garetto, C, Loizou, C (2022) Inhomogeneous wave equation with t-dependent singular coefficients, Journal of Differential Equations, 319, pp.131-185, ISSN: 0022-0396. DOI: 10.1016/j.jde.2022.02.039.

Tarkhany, AR, Discacciati, M, Betouras, J (2021) Theory of surface-induced multiferroicity, Physical Review B: Condensed Matter and Materials Physics, ISSN: 1098-0121.

Caucao, S, Discacciati, M, Gatica, G, Oyarzua, R (2020) A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem, ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 54(5), pp.1689-1723, ISSN: 0764-583X. DOI: 10.1051/m2an/2020009.

Parasyris, A, Discacciati, M, Das, D (2019) Mathematical and numerical modelling of a circular cross-flow filtration module, Applied Mathematical Modelling, 80, pp.84-98, ISSN: 0307-904X. DOI: 10.1016/j.apm.2019.11.016.

Parasyris, A, Brady, C, Das, D, Discacciati, M (2019) Computational modeling of coupled free and porous media flow for membrane-based filtration systems: a review, Journal of Applied Membrane Science and Technology, 23(3), pp.15-15, DOI: 10.11113/amst.v23n3.158.

Discacciati, M and Gerardo-Giorda, L (2017) Optimized Schwarz methods for the Stokes-Darcy coupling, IMA Journal of Numerical Analysis, 38(4), ISSN: 1464-3642. DOI: 10.1093/imanum/drx054.

Discacciati, M, Gervasio, P, Giacomini, A, Quarteroni, A (2016) The interface control domain decomposition method for Stokes-Darcy coupling, SIAM Journal on Numerical Analysis, 54(2), pp.1039-1068, ISSN: 0036-1429. DOI: 10.1137/15M101854X.

Discacciati, M and Oyarzua, R (2016) A conforming mixed finite element method for the Navier–Stokes/Darcy coupled problem, Numerische Mathematik, ISSN: 0029-599X. DOI: 10.1007/s00211-016-0811-4.

Houzeaux, G, Cajas, JC, Discacciati, M, Eguzkitza, B, Gargallo-Peiro, A, Rivero, M, Vazquez, M (2016) Domain decomposition methods for domain composition purpose: Chimera, overset, gluing and sliding mesh methods, Archives of Computational Methods in Engineering, ISSN: 1134-3060. DOI: 10.1007/s11831-016-9198-8.

Discacciati, M, Gervasio, P, Quarteroni, A (2014) Interface control domain decomposition methods for heterogeneous problems, International Journal for Numerical Methods in Fluids, 76(8), pp.471-496, ISSN: 1097-0363. DOI: 10.1002/fld.3942.

Cimolin, F and Discacciati, M (2013) Navier-Stokes/Forchheimer models for filtration through porous media, Applied Numerical Mathematics, 72, pp.205-224, ISSN: 1873-5460. DOI: 10.1016/j.apnum.2013.07.001.

Discacciati, M, Quarteroni, A, Quinodoz, S (2013) Numerical approximation of internal discontinuity interface problems, SIAM J. Scientific Computing, 35, ISSN: 1064-8275. DOI: 10.1137/110850487.

Discacciati, M, Gervasio, P, Quarteroni, A (2013) The interface control domain decomposition (ICDD) method for elliptic problems, SIAM Journal on Control and Optimization, 51(5), pp.3434-3458, ISSN: 0036-1402. DOI: 10.1137/120890764.

Discacciati, M, Gervasio, P, Quarteroni, A (2013) Interface control domain decomposition (ICDD) methods for the Stokes problem, Journal of Coupled Systems and Multiscale Dynamics, 1(3), pp.372-392, ISSN: 2330-152X. DOI: 10.1166/jcsmd.2013.1026.

Discacciati, M, Hacker, D, Quarteroni, A, Quinodoz, S, Tissot, S, Wurm, FM (2012) Numerical simulation of orbitally shaken viscous fluids with free surface, International Journal for Numerical Methods in Fluids, 71(3), pp.294-315, ISSN: 1097-0363. DOI: 10.1002/fld.3658.

Blanco, PJ, Discacciati, M, Quarteroni, A (2011) Modeling dimensionally-heterogeneous problems: analysis, approximation and applications, Numerische Mathematik, 119(2), pp.299-335, ISSN: 0029-599X. DOI: 10.1007/s00211-011-0387-y.

Tissot, S, Reclari, M, Quinodoz, S, Dreyer, M, Monteil, DT, Baldi, L, Hacker, D, Farhat, M, Discacciati, M, Quarteroni, A, Wurm, FM (2011) Hydrodynamic stress in orbitally shaken bioreactors, BMC proceedings, 5 Suppl 8, p.39, DOI: 10.1186/1753-6561-5-s8-p39.

Badea, L, Discacciati, M, Quarteroni, A (2010) Numerical analysis of the Navier-Stokes/Darcy coupling, Numerische Mathematik, 115(2), pp.195-227, ISSN: 0945-3245. DOI: 10.1007/s00211-009-0279-6.

Kovacs, Z, Discacciati, M, Samhaber, W (2009) Modeling of amino acid nanofiltration by irreversible thermodynamics, Journal of Membrane Science, 332(1-2), pp.38-49, ISSN: 1873-3123. DOI: 10.1016/j.memsci.2009.01.034.

Zhang, X, Burki, C-A, Stettler, M, De Sanctis, D, Perrone, M, Discacciati, M, Parolini, N, De Jesus, M, Hacker, D, Quarteroni, A, Wurm, FM (2009) Efficient oxygen transfer by surface aeration in shaken cylindrical containers for mammalian cell cultivation at volumetric scales up to 1000 L, Biochemical Engineering Journal, 45(1), pp.41-47, ISSN: 1873-295X. DOI: 10.1016/j.bej.2009.02.003.

Discacciati, M and Quarteroni, A (2009) Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation, Revista Matematica Complutense, 22(2), pp.315-426, ISSN: 1139-1138.

Kovacs, Z, Discacciati, M, Samhaber, W (2008) Numerical simulation and optimization of multi-step batch membrane processes, Journal of Membrane Science, 324(1-2), pp.50-58, ISSN: 1873-3123. DOI: 10.1016/j.memsci.2008.06.060.

Kovacs, Z, Discacciati, M, Samhaber, W (2008) Modeling of batch and semi-batch membrane filtration processes, Journal of Membrane Science, 327(1-2), pp.164-173, ISSN: 1873-3123. DOI: 10.1016/j.memsci.2008.11.024.

Discacciati, M, Quarteroni, A, Valli, A (2007) Robin-Robin domain decomposition methods for the Stokes-Darcy coupling, SIAM J. Numerical Analysis, 45, pp.1246-1268, ISSN: 0036-1429. DOI: 10.1137/06065091X.

Deparis, S, Discacciati, M, Fourestey, G, Quarteroni, A (2006) Fluid-structure algorithms based on Steklov-Poincaré operators, Computer Methods in Applied Mechanics and Engineering, 195, pp.5797-5812, ISSN: 0045-7825. DOI: 10.1016/j.cma.2005.09.029.

Discacciati, M and Quarteroni, A (2004) Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of stokes and darcy equations, Computing and Visualization in Science, 6(2-3), pp.93-103, ISSN: 1432-9360. DOI: 10.1007/bf02663038.

Discacciati, M and Quarteroni, A (2004) Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations, Computing and Visualization in Science, 6, pp.93-103, ISSN: 1433-0369. DOI: 10.1007/s00791-003-0113-0.

Discacciati, M, Miglio, E, Quarteroni, A (2002) Mathematical and numerical models for coupling surface and groundwater flows, Applied Numerical Mathematics, 43, pp.57-74, ISSN: 1873-5460. DOI: 10.1016/S0168-9274(02)00125-3.

Conferences

Discacciati, M, Evans, B, Giacomini, M (2025) Local surrogate models with reduced dimensionality via overlapping domain decomposition and proper generalized decomposition. In 28th International Conference on Domain Decomposition Methods; Lecture Notes in Computational Science and Engineering (LNCSE) series, KAUST (Saudi Arabia).

Discacciati, M and Robinson, J (2024) Optimized Neumann-Neumann method for the Stokes-Darcy problem. In Domain Decomposition Methods in Science and Engineering XXVII. DD 2022. Lecture Notes in Computational Science and Engineering, Prague, Czech Republic, pp.157-164, ISBN: 9783031507687. DOI: 10.1007/978-3-031-50769-4_18.

Angeloski, A, Discacciati, M, Legendre, C, Lielens, G, Huerta, A (2014) Challenges for time and frequency domain aeroacoustic solvers. In , 11th World Congress on Computational Mechanics Wccm 2014 5th European Conference on Computational Mechanics Eccm 2014 and 6th European Conference on Computational Fluid Dynamics Ecfd 2014, pp.7545-7556.

Tissot, S, Zhang, X, Stettler, M, De Sanctis, D, Perone, M, Bürki, C, De Jesus, M, Farhat, M, Discacciati, M, Reif, OW, Kühner, M, Baldi, L, Hacker, DL, Quarteroni, A, Wurm, FM (2012) Engineering Principles and Cell Culture Performance of Orbitally Shaken Cylindrical Bioreactors. In , pp.407-412, ISBN: 9789400708839. DOI: 10.1007/978-94-007-0884-6_67.

Discacciati, M (2008) Numerical Approximation of a Steady MHD Problem. In , pp.313-320, ISBN: 9783540751984. DOI: 10.1007/978-3-540-75199-1_37.

Deparis, S, Discacciati, M, Quarteroni, A (Accepted for publication) A Domain Decomposition Framework for Fluid-Structure Interaction Problems. In , pp.41-58, ISBN: 9783540318002. DOI: 10.1007/3-540-31801-1_4.

Amad, AAS, Ledger, PD, Betcke, T (Accepted for publication) Characterisation of hidden objects in electrical impedance tomography using adaptive boundary elements. In .

Balla, K, Sevilla, R, Hassan, O, Morgan, K (Accepted for publication) An investigation of neural networks for aerodynamic predictions. In .

Chen, B and Fraga, B (Accepted for publication) Large-eddy-simulation of buoyancy-induced mixing for water treatment applications. In .

Cocetta, F, Gillard, M, Szmelter, J (Accepted for publication) Numerical characterisation of stably stratified flows past spheres. In .

Eichstädt, J, Moxey, D, Peiró, J (Accepted for publication) Efficient vectorised Cuda kernels for high-order finite element flow solvers. In .

Hajjar, M, Izzuddin, BA, Macorini, L, Mabsout, M (Accepted for publication) Simplified modal analysis of multi-storey RC buildings for application in seismic retrofitting. In .

Jenabi, J, Khazaeinejad, P, Nezamabadi, A (Accepted for publication) Size-dependent nonlinear analysis of composite laminated micro skew plates reinforced with functionally graded graphene sheets. In .

Komala-Sheshachala, S, Sevilla, R, Hassan, O (Accepted for publication) A combined HDG-FV scheme for inviscid wind gust simulations. In .

Lakshmanan, K, Gil, AJ, Auricchio, F, Tessicini, F (Accepted for publication) A fault diagnosis methodology for an external gear pump with the use of Machine Learning classification algorithms: Support Vector Machine and Multilayer Perceptron. In .

Leeworthy, T and Asr, AA (Accepted for publication) Effects of various surcharge loading conditions on the stability of soil slopes. In .

Ogunyemi, O and Asr, AA (Accepted for publication) Numerical Investigation into the effect of various surcharge loadings on propped wall excavations and embankments. In .

Paganini, A and Wechsung, F (Accepted for publication) Fireshape: a shape optimization toolbox for Firedrake. In .

Previtali, M, Ciantia, M, Castellanza, R, Crosta, G (Accepted for publication) Mesh sensitivity in discrete element simulation of flexible protection structures. In .

Runcie, CJ, Grassl, P, Gil, AJ, Bonet, J (Accepted for publication) An upwind vertex centred finite volume algorithm for computational contact mechanics. In .

Sevilla, R, Zlotnik, S, Huerta, A (Accepted for publication) Proper generalised decomposition for the solution of geometrically parametrised Stokes flow problems. In .

Sio, J and Izzuddin, BA (Accepted for publication) Modelling of RC beam-column sub-assemblages under sudden column loss scenario. In .

Buscariolo, FF, Hambli, W, Slaughter, J, Sherwin, S (Accepted for publication) Using a spectral/hp element method for high-order implicit-LES of bluff automotive geometries. In .

Wilson, BA and Ledger, PD (Accepted for publication) Hidden security threat identification: A reduced order model for the rapid computation of object characterisations. In .

Zhang, Y, Yang, Z, Tsang, N (Accepted for publication) Mesoscale finite element modelling of failure behaviour of steel-bar reinforced UHPFRC beams with randomly distributed fibres. In .

Katsouleas, G, Karatzas, EN, Travlopanos, F (Accepted for publication) Cut finite element error estimates for a class of nonliner elliptic PDEs. In .

Books

Langer, U, Zulehner, W, Keyes, DE, Discacciati, M, Widlund, OB (2008) Lecture Notes in Computational Science and Engineering: Preface.

Langer, U, Discacciati, M, Keyes, DE, Widlund, O, Zulehner, W (2008) Domain Decomposition Methods in Science and Engineering XVII, Springer Science & Business Media, ISBN: 9783540751991.

Chapters

Ramlan, DD, Parasyris, A, Discacciati, M, Das, DB (2025) Modelling of Antimicrobial Agent Triclosan (TCS) Transport in Nanofiltration System for Sustainable Design of Drinking Water Treatment Systems for South Asian Countries. In Advances in Geographical and Environmental Sciences, pp.61-80, DOI: 10.1007/978-981-97-7455-5_4.

Discacciati, M and Robinson, J (2024) Optimized Neumann-Neumann method for the Stokes-Darcy problem. In Dostál, Z, Kozubek, T, Klawonn, A, Langer, U, Pavarino, LF, Šístek, J, Widlund, OB (ed) Domain Decomposition Methods in Science and Engineering XXVII, Springer,ISBN: 9783031507687. DOI: 10.1007/978-3-031-50769-4_18.

Discacciati, M and Gerardo-Giorda, L (2019) Is minimizing the convergence rate a good choice for efficient Optimized Schwarz preconditioning in heterogeneous coupling? The Stokes-Darcy case. In Domain Decomposition Methods in Science and Engineering XXIV, © Springer,ISBN: 9783319938738. DOI: 10.1007/978-3-319-93873-8.

Discacciati, M and Gerardo-Giorda, L (2018) Is minimising the convergence rate a good choice for efficient optimized schwarz preconditioning in heterogeneous coupling? The stokes-darcy case. In Lecture Notes in Computational Science and Engineering, pp.233-241, DOI: 10.1007/978-3-319-93873-8_21.

Discacciati, M (2013) Augmented interface systems for the Darcy-Stokes problem. In Unknown Parent Title, © Springer-Verlag Berlin Heidelberg, pp.411-418, ISBN: 9783642352744. DOI: 10.1007/978-3-642-35275-1_48.

Discacciati, M (2013) Coupling free and porous-media flows: models and numerical approximation. In Unknown Parent Title, De Gruyter, pp.107-138, ISBN: 9783110282214. DOI: 10.1515/9783110282245.107.

Discacciati, M, Gervasio, P, Quarteroni, A (2012) Heterogeneous mathematical models in fluid dynamics and associated solution algorithms. In Unknown Parent Title, © Springer-Verlag Berlin Heidelberg, pp.57-123, ISBN: 9783642240782. DOI: 10.1007/978-3-642-24079-9_2.

Zhang, X, Stettler, M, De Sanctis, D, Perrone, M, Parolini, N, Discacciati, M, De Jesus, M, Hacker, D, Quarteroni, A, Wurm, FM (2009) Use of orbital shaken disposable bioreactors for mammalian cell cultures from the milliliter-scale to the 1,000-liter scale. In Unknown Parent Title, © Springer-Verlag Berlin Heidelberg, pp.33-53, ISBN: 9783642018725. DOI: 10.1007/10_2008_18.

Discacciati, M (2008) Numerical approximation of a steady MHD problem. In Unknown Parent Title, © Springer-Verlag Berlin Heidelberg, pp.313-320, ISBN: 9783540751984. DOI: 10.1007/978-3-540-75199-1_37.

Deparis, S, Discacciati, M, Fourestey, G, Quarteroni, A (2007) Heterogeneous domain decomposition methods for fluid-structure interaction problems. In Unknown Parent Title, Springer, pp.41-52, ISBN: 9783540344681. DOI: 10.1007/978-3-540-34469-8_4.

Deparis, S, Discacciati, M, Fourestey, G, Quarteroni, A (2007) Heterogeneous Domain Decomposition Methods for Fluid-Structure Interaction Problems. In Domain Decomposition Methods in Science and Engineering XVI, Springer Nature, pp.41-52, DOI: 10.1007/978-3-540-34469-8_4.

Deparis, S, Discacciati, M, Quarteroni, A (2006) A domain decomposition framework for fluid-structure interaction problems. In Computational Fluid Dynamics 2004, © Springer, pp.41-58, ISBN: 9783540318002. DOI: 10.1007/3-540-31801-1_4.

Discacciati, M (2005) Iterative methods for Stokes/Darcy coupling. In Unknown Parent Title, © Springer-Verlag Berlin Heidelberg, pp.563-570, ISBN: 9783540225232. DOI: 10.1007/b138136.

Discacciati, M (2005) Iterative Methods for Stokes/Darcy Coupling. In Domain Decomposition Methods in Science and Engineering, Springer Nature, pp.563-570, DOI: 10.1007/3-540-26825-1_59.

Discacciati, M and Quarteroni, A (2003) Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations. In Numerical Analysis and Advanced Applications, © Springer-Verlag Italia, Milano, pp.3-20, ISBN: 9788847021679. DOI: 10.1007/978-88-470-2089-4_1.

School/Dept Working Papers

Parasyris, A, Discacciati, M, Das, DB (2019) Mathematical and numerical modelling of hybrid filtration systems.

Other

Eggenweiler, E, Discacciati, M, Rybak, I (2022) Analysis of the Stokes–Darcy problem with generalised interface conditions, Fluid flows in coupled systems consisting of a free-flow region and the adjacent porous medium appear in a variety of environmental settings and industrial applications. In many applications, fluid flow is non-parallel to the fluid–porous interface that requires a generalisation of the Beavers–Joseph coupling condition typically used for the Stokes–Darcy problem. Generalised coupling conditions valid for arbitrary flow directions to the interface are recently derived using the theory of homogenisation and boundary layers. The aim of this work is the mathematical analysis of the Stokes–Darcy problem with these generalised interface conditions. We prove the existence and uniqueness of the weak solution of the coupled problem. The well-posedness is guaranteed under a suitable relationship between the permeability and the boundary layer constants containing geometrical information about the porous medium and the interface. We study the validity of the obtained results for realistic problems numerically and provide a benchmark for numerical solution of the Stokes–Darcy problem with generalised interface conditions.. DOI: 10.1051/m2an/2022025.