Chainais-Hillairet, C.; Eymard, R.; Fuhrmann, J. A monotone numerical flux for quasilinear convection diffusion equation. (English) Zbl 1525.65084 Math. Comput. 93, No. 345, 203-231 (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65N12 35A23 35B40 35K65 82D37 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} et al., Math. Comput. 93, No. 345, 203--231 (2024; Zbl 1525.65084) Full Text: DOI
Fuhrmann, Jürgen; Gaudeul, Benoît; Keller, Christine Two entropic Finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints. (English) Zbl 07781709 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 285-294 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 78A57 92C37 82D37 82C70 05B45 35Q60 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., Springer Proc. Math. Stat. 432, 285--294 (2023; Zbl 07781709) Full Text: DOI
Gaudeul, Benoît; Fuhrmann, Jürgen Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints. (English) Zbl 1493.65139 Numer. Math. 151, No. 1, 99-149 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 78A57 65N08 35Q81 35Q60 PDFBibTeX XMLCite \textit{B. Gaudeul} and \textit{J. Fuhrmann}, Numer. Math. 151, No. 1, 99--149 (2022; Zbl 1493.65139) Full Text: DOI
Fuhrmann, Jürgen; Doan, Duy Hai; Glitzky, Annegret; Liero, Matthias; Nika, Grigor Unipolar drift-diffusion simulation of S-shaped current-voltage relations for organic semiconductor devices. (English) Zbl 1454.65143 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 625-633 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65D30 35J92 80M12 80A19 78A30 82D37 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., Springer Proc. Math. Stat. 323, 625--633 (2020; Zbl 1454.65143) Full Text: DOI
Cancès, Clément; Hillairet, Claire Chainais; Fuhrmann, Jürgen; Gaudeul, Benoît On four numerical schemes for a unipolar degenerate drift-diffusion model. (English) Zbl 1456.65083 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 163-171 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 65M08 65N08 65M06 65Z05 78A30 35J05 PDFBibTeX XMLCite \textit{C. Cancès} et al., Springer Proc. Math. Stat. 323, 163--171 (2020; Zbl 1456.65083) Full Text: DOI HAL
Fuhrmann, Jürgen; Guhlke, Clemens; Linke, Alexander; Merdon, Christian; Müller, Rüdiger Models and numerical methods for electrolyte flows. (English) Zbl 1453.65250 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 183-209 (2019). MSC: 65M08 76W05 76D05 78A57 76M12 92C40 35Q35 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 183--209 (2019; Zbl 1453.65250) Full Text: DOI
Fuhrmann, Jürgen; Guhlke, Clemens; Linke, Alexander; Merdon, Christian; Müller, Rüdiger Voronoi finite volumes and pressure robust finite elements for electrolyte models with finite ion sizes. (English) Zbl 1447.78017 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 9th international conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 3–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 131, 73-83 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 78M12 78M10 78A57 78A35 65M70 65M60 76D05 76M12 76M10 35Q35 35Q60 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., Lect. Notes Comput. Sci. Eng. 131, 73--83 (2019; Zbl 1447.78017) Full Text: DOI
Bradji, Abdallah; Fuhrmann, Jürgen On the convergence and convergence order of finite volume gradient schemes for oblique derivative boundary value problems. (English) Zbl 1412.65101 Comput. Appl. Math. 37, No. 3, 2533-2565 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M08 65M15 35K15 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{J. Fuhrmann}, Comput. Appl. Math. 37, No. 3, 2533--2565 (2018; Zbl 1412.65101) Full Text: DOI
Farrell, Patricio; Koprucki, Thomas; Fuhrmann, Jürgen Computational and analytical comparison of flux discretizations for the semiconductor device equations beyond Boltzmann statistics. (English) Zbl 1378.82030 J. Comput. Phys. 346, 497-513 (2017). MSC: 82B80 82D37 65N08 65N15 PDFBibTeX XMLCite \textit{P. Farrell} et al., J. Comput. Phys. 346, 497--513 (2017; Zbl 1378.82030) Full Text: DOI
Bradji, Abdallah; Fuhrmann, Jürgen Convergence order of a finite volume scheme for the time-fractional diffusion equation. (English) Zbl 1371.65090 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 33-45 (2017). Reviewer: Michael Jung (Dresden) MSC: 65M08 35K20 35R11 65M15 65M12 65M50 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{J. Fuhrmann}, Lect. Notes Comput. Sci. 10187, 33--45 (2017; Zbl 1371.65090) Full Text: DOI
Fuhrmann, Jürgen; Guhlke, Clemens A finite volume scheme for Nernst-Planck-Poisson systems with ion size and solvation effects. (English) Zbl 1365.78012 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 497-505 (2017). MSC: 78M12 65N08 78A57 PDFBibTeX XMLCite \textit{J. Fuhrmann} and \textit{C. Guhlke}, Springer Proc. Math. Stat. 200, 497--505 (2017; Zbl 1365.78012) Full Text: DOI
Fuhrmann, Jürgen; Glitzky, Annegret; Liero, Matthias Hybrid finite-volume/finite-element schemes for \(p(x)\)-Laplace thermistor models. (English) Zbl 1379.35312 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 397-405 (2017). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 35Q79 65M08 35J92 35J60 80M12 80M10 80A20 78A30 82D37 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., Springer Proc. Math. Stat. 200, 397--405 (2017; Zbl 1379.35312) Full Text: DOI
Fuhrmann, Jürgen Comparison and numerical treatment of generalised Nernst-Planck models. (English) Zbl 1360.82088 Comput. Phys. Commun. 196, 166-178 (2015). MSC: 82C80 82C70 65N08 PDFBibTeX XMLCite \textit{J. Fuhrmann}, Comput. Phys. Commun. 196, 166--178 (2015; Zbl 1360.82088) Full Text: DOI
Fuhrmann, Jürgen Activity based finite volume methods for generalised Nernst-Planck-Poisson systems. (English) Zbl 1333.78008 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer (ISBN 978-3-319-05590-9/hbk; 978-3-319-05591-6/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 78, 597-605 (2014). Reviewer: Vladimir Čadež (Beograd) MSC: 78A35 76X99 78M12 78A25 78A30 76M12 65N08 PDFBibTeX XMLCite \textit{J. Fuhrmann}, Springer Proc. Math. Stat. 78, 597--605 (2014; Zbl 1333.78008) Full Text: DOI
Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. (English) Zbl 1383.76353 Numer. Methods Partial Differ. Equations 30, No. 4, 1397-1424 (2014). MSC: 76M12 65N08 65N12 76D05 76D07 PDFBibTeX XMLCite \textit{R. Eymard} et al., Numer. Methods Partial Differ. Equations 30, No. 4, 1397--1424 (2014; Zbl 1383.76353) Full Text: DOI
Bradji, Abdallah; Fuhrmann, Jürgen Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. (English) Zbl 1274.65251 Appl. Math., Praha 58, No. 1, 1-38 (2013). Reviewer: Václav Kučera (Praha) MSC: 65M08 65M15 35K05 65M50 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{J. Fuhrmann}, Appl. Math., Praha 58, No. 1, 1--38 (2013; Zbl 1274.65251) Full Text: DOI Link
Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf An assessment of discretizations for convection-dominated convection-diffusion equations. (English) Zbl 1230.76021 Comput. Methods Appl. Mech. Eng. 200, No. 47-48, 3395-3409 (2011). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{M. Augustin} et al., Comput. Methods Appl. Mech. Eng. 200, No. 47--48, 3395--3409 (2011; Zbl 1230.76021) Full Text: DOI
Fuhrmann, Jürgen; Linke, Alexander; Langmach, Hartmut A numerical method for mass conservative coupling between fluid flow and solute transport. (English) Zbl 1366.76051 Appl. Numer. Math. 61, No. 4, 530-553 (2011). MSC: 76M10 76M12 76W05 65N08 65N30 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., Appl. Numer. Math. 61, No. 4, 530--553 (2011; Zbl 1366.76051) Full Text: DOI
Bradji, Abdallah; Fuhrmann, Jürgen Some error estimates for the discretization of parabolic equations on general multidimensional nonconforming spatial meshes. (English) Zbl 1317.65223 Dimov, Ivan (ed.) et al., Numerical methods and applications. 7th international conference, NMA 2010, Borovets, Bulgaria, August 20–24, 2010. Revised papers. Berlin: Springer (ISBN 978-3-642-18465-9/pbk). Lecture Notes in Computer Science 6046, 369-376 (2011). MSC: 65N15 35K57 65N08 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{J. Fuhrmann}, Lect. Notes Comput. Sci. 6046, 369--376 (2011; Zbl 1317.65223) Full Text: DOI
Bradji, Abdallah; Fuhrmann, Jürgen Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids. (Des estimations d’erreurs pour la discrétisation des équations paraboliques sur une classe générale multidimensionnelle de maillages non conformes.) (English) Zbl 1201.65167 C. R., Math., Acad. Sci. Paris 348, No. 19-20, 1119-1122 (2010). MSC: 65M15 65M50 35K60 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{J. Fuhrmann}, C. R., Math., Acad. Sci. Paris 348, No. 19--20, 1119--1122 (2010; Zbl 1201.65167) Full Text: DOI
Eymard, Robert; Fuhrmann, Jürgen; Gärtner, Klaus A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems. (English) Zbl 1116.65101 Numer. Math. 102, No. 3, 463-495 (2006). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{R. Eymard} et al., Numer. Math. 102, No. 3, 463--495 (2006; Zbl 1116.65101) Full Text: DOI