Edit Profile (opens in new tab) Fuhrmann, Jürgen Co-Author Distance Author ID: fuhrmann.jurgen Published as: Fuhrmann, Jürgen; Fuhrmann, J. Homepage: https://www.wias-berlin.de/people/fuhrmann/ External Links: MGP · ORCID · dblp · GND Documents Indexed: 50 Publications since 1989, including 2 Books 3 Contributions as Editor Co-Authors: 42 Co-Authors with 43 Joint Publications 1,052 Co-Co-Authors all top 5 Co-Authors 10 single-authored 8 Bradji, Abdallah 8 Linke, Alexander 5 Gärtner, Klaus 4 Chainais-Hillairet, Claire 4 Eymard, Robert 4 Langmach, Hartmut 3 Gaudeul, Benoît 3 Guhlke, Clemens 3 Hömberg, Dietmar 3 Koprucki, Thomas 3 Merdon, Christian 2 Cancès, Clément 2 Farrell, Patricio 2 Glitzky, Annegret 2 Liero, Matthias 2 Müller, Rüdiger 2 Ohlberger, Mario 2 Rohde, Christian 2 Si, Hang 1 Augustin, Matthias Albert 1 Bataillon, Christian 1 Bouchon, François 1 Caiazzo, Alfonso 1 Doan, Duy-Hai 1 Efendiev, Messoud 1 Fiebach, André 1 Hoarau, E. 1 Holzbecher, Ekkehard 1 John, Volker 1 Kaiser, Hans-Christoph 1 Keilegavlen, Eirik 1 Klöfkorn, Robert 1 Nika, Grigor 1 Patriarca, Matteo 1 Petzoldt, Martin 1 Radu, Florin Adrian 1 Sokołowski, Jan 1 Touzani, Rachid 1 Uhle, Manfred 1 Umla, Rudolf 1 Zelik, Sergey V. 1 Zhao, Hong all top 5 Serials 3 Applied Numerical Mathematics 3 Springer Proceedings in Mathematics & Statistics 2 Computer Physics Communications 2 Journal of Computational Physics 2 Numerische Mathematik 2 Mathematica Bohemica 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Berichte aus der Mathematik all top 5 Fields 40 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 16 Optics, electromagnetic theory (78-XX) 9 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Biology and other natural sciences (92-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 238 times in 183 Documents Cited by ▼ Year ▼ An assessment of discretizations for convection-dominated convection-diffusion equations. Zbl 1230.76021Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf 43 2011 A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems. Zbl 1116.65101Eymard, Robert; Fuhrmann, Jürgen; Gärtner, Klaus 29 2006 Boundary conforming Delaunay mesh generation. Zbl 1224.65285Gärtner, K.; Si, H.; Fuhrmann, J. 24 2010 Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws. Zbl 0978.65081Fuhrmann, Jürgen; Langmach, Hartmut 20 2001 Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. Zbl 1274.65251Bradji, Abdallah; Fuhrmann, Jürgen 15 2013 Comparison and numerical treatment of generalised Nernst-Planck models. Zbl 1360.82088Fuhrmann, Jürgen 14 2015 Numerical simulation of the surface hardening of steel. Zbl 1073.76597Fuhrmann, Jürgen; Hömberg, Dietmar 11 1999 Numerical methods for the simulation of a corrosion model with moving oxide layer. Zbl 1277.35209Bataillon, C.; Bouchon, F.; Chainais-Hillairet, C.; Fuhrmann, J.; Hoarau, E.; Touzani, R. 9 2012 A numerical method for mass conservative coupling between fluid flow and solute transport. Zbl 1366.76051Fuhrmann, Jürgen; Linke, Alexander; Langmach, Hartmut 9 2011 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.) Zbl 1201.65167Bradji, Abdallah; Fuhrmann, Jürgen 9 2010 Computational and analytical comparison of flux discretizations for the semiconductor device equations beyond Boltzmann statistics. Zbl 1378.82030Farrell, Patricio; Koprucki, Thomas; Fuhrmann, Jürgen 7 2017 Existence and uniqueness of solutions of certain systems of algebraic equations with off-diagonal nonlinearity. Zbl 1022.65061Fuhrmann, Jürgen 6 2001 MAC schemes on triangular meshes. Zbl 1246.76125Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 5 2011 Convergence order of a finite volume scheme for the time-fractional diffusion equation. Zbl 1371.65090Bradji, Abdallah; Fuhrmann, Jürgen 5 2017 On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. Zbl 1383.76353Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 5 2014 A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model. Zbl 1460.65104Cancès, Clément; Chainais-Hillairet, Claire; Fuhrmann, Jürgen; Gaudeul, Benoît 4 2021 Numerical simulation of induction hardening of steel. Zbl 0934.78009Fuhrmann, Jürgen; Hömberg, Dietmar; Uhle, Manfred 3 1999 Some error estimates in finite volume methods for parabolic equations. Zbl 1422.65202Bradji, Abdallah; Fuhrmann, Jürgen 2 2008 On numerical solution methods for nonlinear parabolic problems. Zbl 0885.76098Fuhrmann, Jürgen 2 1997 Hybrid finite-volume/finite-element schemes for \(p(x)\)-Laplace thermistor models. Zbl 1379.35312Fuhrmann, Jürgen; Glitzky, Annegret; Liero, Matthias 2 2017 Electronic states in semiconductor nanostructures and upscaling to semi-classical models. Zbl 1366.82065Koprucki, Thomas; Kaiser, Hans-Christoph; Fuhrmann, Jürgen 2 2006 Some error estimates for the discretization of parabolic equations on general multidimensional nonconforming spatial meshes. Zbl 1317.65223Bradji, Abdallah; Fuhrmann, Jürgen 1 2011 A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. Zbl 1340.65199Bradji, Abdallah; Fuhrmann, Jürgen 1 2014 Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method. Zbl 1340.65217Bradji, Abdallah; Fuhrmann, Jürgen 1 2014 Mathematical and numerical modeling of flow, transport, and reactions in porous structures of electrochemical devices. Zbl 1302.76215Fuhrmann, Jürgen 1 2013 Mass conservative coupling between fluid flow and solute transport. Zbl 1246.76150Fuhrmann, Jürgen; Linke, Alexander; Langmach, Hartmut 1 2011 Application of multigrid methods for the numerical treatment of elliptic partial differential equations with variable coefficients. (Zur Verwendung von Mehrgitterverfahren bei der numerischen Behandlung elliptischer partieller Differentialgleichungen mit variablen Koeffizienten.) Zbl 0850.65230Fuhrmann, Jürgen 1 1995 Models and numerical methods for electrolyte flows. Zbl 1453.65250Fuhrmann, Jürgen; Guhlke, Clemens; Linke, Alexander; Merdon, Christian; Müller, Rüdiger 1 2019 On four numerical schemes for a unipolar degenerate drift-diffusion model. Zbl 1456.65083Cancès, Clément; Hillairet, Claire Chainais; Fuhrmann, Jürgen; Gaudeul, Benoît 1 2020 The long-time behaviour of the thermoconvective flow in a porous medium. Zbl 1156.37323Efendiev, M. A.; Fuhrmann, J.; Zelik, S. V. 1 2004 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. Zbl 1445.65003 1 2020 A finite volume scheme for Nernst-Planck-Poisson systems with ion size and solvation effects. Zbl 1365.78012Fuhrmann, Jürgen; Guhlke, Clemens 1 2017 Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Zbl 1291.65005 1 2014 A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model. Zbl 1460.65104Cancès, Clément; Chainais-Hillairet, Claire; Fuhrmann, Jürgen; Gaudeul, Benoît 4 2021 On four numerical schemes for a unipolar degenerate drift-diffusion model. Zbl 1456.65083Cancès, Clément; Hillairet, Claire Chainais; Fuhrmann, Jürgen; Gaudeul, Benoît 1 2020 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. Zbl 1445.65003 1 2020 Models and numerical methods for electrolyte flows. Zbl 1453.65250Fuhrmann, Jürgen; Guhlke, Clemens; Linke, Alexander; Merdon, Christian; Müller, Rüdiger 1 2019 Computational and analytical comparison of flux discretizations for the semiconductor device equations beyond Boltzmann statistics. Zbl 1378.82030Farrell, Patricio; Koprucki, Thomas; Fuhrmann, Jürgen 7 2017 Convergence order of a finite volume scheme for the time-fractional diffusion equation. Zbl 1371.65090Bradji, Abdallah; Fuhrmann, Jürgen 5 2017 Hybrid finite-volume/finite-element schemes for \(p(x)\)-Laplace thermistor models. Zbl 1379.35312Fuhrmann, Jürgen; Glitzky, Annegret; Liero, Matthias 2 2017 A finite volume scheme for Nernst-Planck-Poisson systems with ion size and solvation effects. Zbl 1365.78012Fuhrmann, Jürgen; Guhlke, Clemens 1 2017 Comparison and numerical treatment of generalised Nernst-Planck models. Zbl 1360.82088Fuhrmann, Jürgen 14 2015 On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. Zbl 1383.76353Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 5 2014 A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. Zbl 1340.65199Bradji, Abdallah; Fuhrmann, Jürgen 1 2014 Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method. Zbl 1340.65217Bradji, Abdallah; Fuhrmann, Jürgen 1 2014 Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Zbl 1291.65005 1 2014 Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. Zbl 1274.65251Bradji, Abdallah; Fuhrmann, Jürgen 15 2013 Mathematical and numerical modeling of flow, transport, and reactions in porous structures of electrochemical devices. Zbl 1302.76215Fuhrmann, Jürgen 1 2013 Numerical methods for the simulation of a corrosion model with moving oxide layer. Zbl 1277.35209Bataillon, C.; Bouchon, F.; Chainais-Hillairet, C.; Fuhrmann, J.; Hoarau, E.; Touzani, R. 9 2012 An assessment of discretizations for convection-dominated convection-diffusion equations. Zbl 1230.76021Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf 43 2011 A numerical method for mass conservative coupling between fluid flow and solute transport. Zbl 1366.76051Fuhrmann, Jürgen; Linke, Alexander; Langmach, Hartmut 9 2011 MAC schemes on triangular meshes. Zbl 1246.76125Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 5 2011 Some error estimates for the discretization of parabolic equations on general multidimensional nonconforming spatial meshes. Zbl 1317.65223Bradji, Abdallah; Fuhrmann, Jürgen 1 2011 Mass conservative coupling between fluid flow and solute transport. Zbl 1246.76150Fuhrmann, Jürgen; Linke, Alexander; Langmach, Hartmut 1 2011 Boundary conforming Delaunay mesh generation. Zbl 1224.65285Gärtner, K.; Si, H.; Fuhrmann, J. 24 2010 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.) Zbl 1201.65167Bradji, Abdallah; Fuhrmann, Jürgen 9 2010 Some error estimates in finite volume methods for parabolic equations. Zbl 1422.65202Bradji, Abdallah; Fuhrmann, Jürgen 2 2008 A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems. Zbl 1116.65101Eymard, Robert; Fuhrmann, Jürgen; Gärtner, Klaus 29 2006 Electronic states in semiconductor nanostructures and upscaling to semi-classical models. Zbl 1366.82065Koprucki, Thomas; Kaiser, Hans-Christoph; Fuhrmann, Jürgen 2 2006 The long-time behaviour of the thermoconvective flow in a porous medium. Zbl 1156.37323Efendiev, M. A.; Fuhrmann, J.; Zelik, S. V. 1 2004 Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws. Zbl 0978.65081Fuhrmann, Jürgen; Langmach, Hartmut 20 2001 Existence and uniqueness of solutions of certain systems of algebraic equations with off-diagonal nonlinearity. Zbl 1022.65061Fuhrmann, Jürgen 6 2001 Numerical simulation of the surface hardening of steel. Zbl 1073.76597Fuhrmann, Jürgen; Hömberg, Dietmar 11 1999 Numerical simulation of induction hardening of steel. Zbl 0934.78009Fuhrmann, Jürgen; Hömberg, Dietmar; Uhle, Manfred 3 1999 On numerical solution methods for nonlinear parabolic problems. Zbl 0885.76098Fuhrmann, Jürgen 2 1997 Application of multigrid methods for the numerical treatment of elliptic partial differential equations with variable coefficients. (Zur Verwendung von Mehrgitterverfahren bei der numerischen Behandlung elliptischer partieller Differentialgleichungen mit variablen Koeffizienten.) Zbl 0850.65230Fuhrmann, Jürgen 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 267 Authors 22 Fuhrmann, Jürgen 21 Bradji, Abdallah 16 John, Volker 12 Linke, Alexander 9 Chainais-Hillairet, Claire 7 Knobloch, Petr 6 Eymard, Robert 6 Hömberg, Dietmar 5 Kovtunenko, Viktor Anatolievich 5 Rehberg, Joachim 4 Barrenechea, Gabriel R. 4 Benkhaldoun, Fayssal 4 Cancès, Clément 4 Farrell, Patricio 4 Gärtner, Klaus 4 Guhlke, Clemens 4 Zubkova, Anna V. 3 Berninger, Heiko 3 Bessemoulin-Chatard, Marianne 3 Gallouët, Thierry 3 Glitzky, Annegret 3 González Montesinos, María Teresa 3 Hegarty, Alan F. 3 Herbin, Raphaèle 3 Liero, Matthias 3 Merdon, Christian 3 Müller, Rüdiger 3 Nakshatrala, Kalyana B. 3 O’Riordan, Eugene 3 Ortegón Gallego, Francisco 3 Sander, Oliver 3 Zurek, Antoine 2 Araya, Rodolfo A. 2 Caiazzo, Alfonso 2 Chen, Long 2 Disser, Karoline 2 Erath, Christoph 2 Fiebach, André 2 Fukada, Kotaro 2 Gallouët, Thomas O. 2 Ganesan, Sashikumaar 2 Gaudeul, Benoît 2 Giere, Swetlana 2 Gupta, Nupur 2 Jha, Abhinav K. 2 Kamenski, Lennard 2 Kantner, Markus 2 Kita, Ichiro 2 Kröner, Dietmar 2 Lacroix-Violet, Ingrid 2 Langmach, Hartmut 2 Li, Yonghai 2 Nataraj, Neela 2 Novo, Julia 2 Ohlberger, Mario 2 Petzold, Thomas 2 Rokyta, Mirko 2 Si, Hang 2 Sun, Weiwei 2 Themistoclakis, Woula 2 Vecchio, Antonia 2 Volkwein, Stefan 2 Wang, Ming 2 Yoshioka, Hidekazu 2 Yu, Changhua 1 Adesokan, Bolaji James 1 Aguayo, Jorge 1 Ahmed, Naveed 1 Akhmouch, M. 1 Alia, Najib 1 Almeida, Regina C. 1 Anker, Felix 1 Arenas, Manuel J. 1 Arlt, Carsten-Rene 1 Augustin, Matthias Albert 1 Bartsch, Clemens 1 Bastian, Peter 1 Bayramov, N. R. 1 Bazant, Martin Z. 1 Beck, Margaret 1 Benner, Peter 1 Benzakour Amine, M. 1 Berkane, Ahmed 1 Besse, Christophe 1 Blank, Laura 1 Boon, Wietse M. 1 Breden, Maxime 1 Brenner, Konstantin 1 Bublík, Ondřej 1 Catabriga, Lucia 1 Chai, Yong 1 Chen, Gang 1 Chen, Qingshan 1 Chénier, Eric 1 Chernyshenko, Alexey Yu. 1 Chirilus-Bruckner, Martina 1 Colin, Pierre-Louis 1 Coutinho, Alvaro L. G. A. 1 Díaz Moreno, José Manuel 1 Doan, Duy-Hai ...and 167 more Authors all top 5 Cited in 69 Serials 13 Computers & Mathematics with Applications 11 Journal of Computational and Applied Mathematics 8 Computer Methods in Applied Mechanics and Engineering 8 Numerische Mathematik 8 Numerical Methods for Partial Differential Equations 7 Journal of Computational Physics 6 Applied Numerical Mathematics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Applied Mathematics and Computation 5 Journal of Scientific Computing 4 Nonlinear Analysis. Real World Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 2 Computing and Visualization in Science 2 Computational Geosciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Numerical Mathematics 2 Journal of Mathematics in Industry 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 ACM Transactions on Mathematical Software 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Computer Aided Geometric Design 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Arab Journal of Mathematical Sciences 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Oberwolfach Reports 1 Networks and Heterogeneous Media 1 Kinetic and Related Models 1 Analysis and Mathematical Physics 1 S\(\vec{\text{e}}\)MA Journal 1 ISRN Applied Mathematics 1 JSIAM Letters 1 Journal of Mathematics 1 International Journal on Finite Volumes all top 5 Cited in 24 Fields 141 Numerical analysis (65-XX) 107 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Optics, electromagnetic theory (78-XX) 16 Classical thermodynamics, heat transfer (80-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year