Splitting method for elliptic equations with line sources
ESAIM: M2AN, 53 5 (2019) 1715-1739
Published online: 2019-09-13
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Treatment of 3D diffusion problems with discontinuous coefficients and Dirac curvilinear sources
E. Bejaoui and F. Ben BelgacemApplied Numerical Mathematics 207 400 (2025)
https://doi.org/10.1016/j.apnum.2024.09.012
A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions
Stefano Berrone, Denise Grappein and Stefano ScialòNumerical Algorithms 95 (1) 499 (2024)
https://doi.org/10.1007/s11075-023-01579-w
The modelling error in multi-dimensional time-dependent solute transport models
Rami Masri, Marius Zeinhofer, Miroslav Kuchta and Marie E. RognesESAIM: Mathematical Modelling and Numerical Analysis 58 (5) 1681 (2024)
https://doi.org/10.1051/m2an/2024060
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 ArosioInternational Journal for Numerical Methods in Engineering 125 (6) (2024)
https://doi.org/10.1002/nme.7407
36 195 (2024)
https://doi.org/10.1007/978-3-031-58519-7_8
Modeling oxygen transport in the brain: An efficient coarse-grid approach to capture perivascular gradients in the parenchyma
David Pastor-Alonso, Maxime Berg, Franck Boyer, Natalie Fomin-Thunemann, Michel Quintard, Yohan Davit, Sylvie Lorthois and Daniel A BeardPLOS Computational Biology 20 (5) e1011973 (2024)
https://doi.org/10.1371/journal.pcbi.1011973
Extended finite elements for 3D–1D coupled problems via a PDE-constrained optimization approach
Denise Grappein, Stefano Scialò and Fabio ViciniFinite Elements in Analysis and Design 239 104203 (2024)
https://doi.org/10.1016/j.finel.2024.104203
Singularity extraction for elliptic equations with coefficients with jumps and Dirac sources
Eya Bejaoui and Faker Ben BelgacemAsymptotic Analysis 134 (1-2) 1 (2023)
https://doi.org/10.3233/ASY-221824
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium
K Brenner, Florent Chave and R MassonIMA Journal of Numerical Analysis 43 (6) 3522 (2023)
https://doi.org/10.1093/imanum/drac076
Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source
Rami Masri, Boqian Shen and Beatrice RiviereESAIM: Mathematical Modelling and Numerical Analysis 57 (2) 585 (2023)
https://doi.org/10.1051/m2an/2022095
Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method
Tianhao Hu, Bangti Jin and Zhi ZhouSIAM Journal on Scientific Computing 45 (4) A2043 (2023)
https://doi.org/10.1137/22M1520840
Nonlinear mixed-dimension model for embedded tubular networks with application to root water uptake
Timo Koch, Hanchuan Wu and Martin SchneiderJournal of Computational Physics 450 110823 (2022)
https://doi.org/10.1016/j.jcp.2021.110823
3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition
Stefano Berrone, Denise Grappein and Stefano ScialòJournal of Computational Physics 448 110738 (2022)
https://doi.org/10.1016/j.jcp.2021.110738
Projection in negative norms and the regularization of rough linear functionals
F. Millar, I. Muga, S. Rojas and K. G. Van der ZeeNumerische Mathematik 150 (4) 1087 (2022)
https://doi.org/10.1007/s00211-022-01278-z
Projection-based resolved interface 1D-3D mixed-dimension method for embedded tubular network systems
Timo KochComputers & Mathematics with Applications 109 15 (2022)
https://doi.org/10.1016/j.camwa.2022.01.021
A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
Stefano Berrone, Denise Grappein, Stefano Scialò and Fabio ViciniGEM - International Journal on Geomathematics 13 (1) (2022)
https://doi.org/10.1007/s13137-021-00192-0
Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap
Erlend Hodneland, Xiaozhe Hu and Jan M. NordbottenSIAM Journal on Applied Mathematics 81 (5) 2218 (2021)
https://doi.org/10.1137/20M1362541
Numerical Mathematics and Advanced Applications ENUMATH 2019
Nadia S. Taki and Ingeborg G. GjerdeLecture 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
Numerical Mathematics and Advanced Applications ENUMATH 2019
Federica Laurino, Stefano Brambilla and Paolo ZuninoLecture 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. NordbottenSIAM Journal on Numerical Analysis 59 (2) 1117 (2021)
https://doi.org/10.1137/19M1296549
A singularity removal method for coupled 1D–3D flow models
Ingeborg G. Gjerde, Kundan Kumar and Jan M. NordbottenComputational Geosciences 24 (2) 443 (2020)
https://doi.org/10.1007/s10596-019-09899-4
Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction
Federica Laurino and Paolo ZuninoESAIM: Mathematical Modelling and Numerical Analysis 53 (6) 2047 (2019)
https://doi.org/10.1051/m2an/2019042