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The modelling error in multi-dimensional time-dependent solute transport models
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Modeling oxygen transport in the brain: An efficient coarse-grid approach to capture perivascular gradients in the parenchyma
A mixed‐dimensional model for direct current simulations in the presence of a thin high‐resistivity liner
Alessio Fumagalli, Lorenzo Panzeri, Luca Formaggia, Anna Scotti and Diego Arosio International Journal for Numerical Methods in Engineering 125(6) (2024) https://doi.org/10.1002/nme.7407
Extended finite elements for 3D–1D coupled problems via a PDE-constrained optimization approach
Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source
Rami Masri, Boqian Shen and Beatrice Riviere ESAIM: Mathematical Modelling and Numerical Analysis 57(2) 585 (2023) https://doi.org/10.1051/m2an/2022095
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium
Numerical Mathematics and Advanced Applications ENUMATH 2019
Nadia S. Taki and Ingeborg G. Gjerde Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2019 139 469 (2021) https://doi.org/10.1007/978-3-030-55874-1_46
Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap
Erlend Hodneland, Xiaozhe Hu and Jan M. Nordbotten SIAM Journal on Applied Mathematics 81(5) 2218 (2021) https://doi.org/10.1137/20M1362541
Numerical Mathematics and Advanced Applications ENUMATH 2019
Federica Laurino, Stefano Brambilla and Paolo Zunino Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2019 139 663 (2021) https://doi.org/10.1007/978-3-030-55874-1_65
A Mixed Approach to the Poisson Problem with Line Sources
Ingeborg G. Gjerde, Kundan Kumar and Jan M. Nordbotten SIAM Journal on Numerical Analysis 59(2) 1117 (2021) https://doi.org/10.1137/19M1296549
A singularity removal method for coupled 1D–3D flow models