Journal of Numerical Mathematics Short Title: J. Numer. Math. Publisher: De Gruyter, Berlin ISSN: 1570-2820; 1569-3953/e Online: http://www.degruyter.com/view/j/jnma Predecessor: East-West Journal of Numerical Mathematics Comments: Journal; Indexed cover-to-cover Documents Indexed: 342 Publications (since 2002) References Indexed: 233 Publications with 6,187 References. all top 5 Latest Issues 32, No. 1 (2024) 31, No. 4 (2023) 31, No. 3 (2023) 31, No. 2 (2023) 31, No. 1 (2023) 30, No. 4 (2022) 30, No. 3 (2022) 30, No. 2 (2022) 30, No. 1 (2022) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 4 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 4 (2016) 24, No. 3 (2016) 24, No. 2 (2016) 24, No. 1 (2016) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 23, No. 1 (2015) 22, No. 4 (2014) 22, No. 3 (2014) 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 3-4 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 4 (2008) 16, No. 3 (2008) 16, No. 2 (2008) 16, No. 1 (2008) 15, No. 4 (2007) 15, No. 3 (2007) 15, No. 2 (2007) 15, No. 1 (2007) 14, No. 4 (2006) 14, No. 3 (2006) 14, No. 2 (2006) 14, No. 1 (2006) 13, No. 4 (2005) 13, No. 3 (2005) 13, No. 2 (2005) 13, No. 1 (2005) 12, No. 4 (2004) 12, No. 3 (2004) 12, No. 2 (2004) 12, No. 1 (2004) 11, No. 4 (2003) 11, No. 3 (2003) 11, No. 2 (2003) 11, No. 1 (2003) 10, No. 4 (2002) 10, No. 3 (2002) 10, No. 2 (2002) 10, No. 1 (2002) all top 5 Authors 13 Hoppe, Ronald H. W. 9 Bangerth, Wolfgang 9 Maier, Matthias Sebastian 9 Turcksin, Bruno 8 Heister, Timo 8 Heltai, Luca 8 Kronbichler, Martin 7 Arndt, Daniel 7 Kuznetsov, Yurii Alekseevich 7 Pelteret, Jean-Paul 7 Rivière, Beatrice M. 6 Glowinski, Roland 6 Kanschat, Guido 6 Rannacher, Rolf 6 Repin, Sergeĭ Igorevich 6 Turek, Stefan 5 Carstensen, Carsten 5 Fehling, Marc 5 Girault, Vivette 5 Nicaise, Serge 4 Axelsson, Axel Owe Holger 4 Davydov, Denis 4 Feistauer, Miloslav 4 Gatica, Gabriel N. 4 Kadalbajoo, Mohan K. 4 Langer, Ulrich 4 Munch, Peter 4 Rebholz, Leo G. 4 Reusken, Arnold 4 Schieweck, Friedhelm 4 Suttmeier, Franz-Theo 3 Agouzal, Abdellatif 3 Borzì, Alfio 3 Burman, Erik 3 Chen, Hongsen 3 Gassmöller, Rene 3 Hackbusch, Wolfgang 3 Hecht, Frédéric 3 Khoromskiĭ, Boris Nikolaevich 3 Kuzmin, Dmitri 3 Lukáčová-Medviďová, Mária 3 Neilan, Michael 3 Pani, Amiya Kumar 3 Pasciak, Joseph E. 3 Ruiz-Baier, Ricardo 3 Seaïd, Mohammed 3 Steinbach, Olaf 3 Zhang, Shangyou 2 Bacuta, Constantin 2 Balázsová, Monika 2 Banda, Mapundi Kondwani 2 Benner, Peter 2 Blais, Bruno 2 Boglaev, Igor P. 2 Bonito, Andrea 2 Bramble, James H. 2 Caboussat, Alexandre 2 Cappanera, Loïc 2 Chen, Zhangxin 2 Clevenger, Thomas C. 2 Danczul, Tobias 2 Demyanko, Kirill V. 2 Dryja, Maksymilian 2 Eymard, Robert 2 Feder, Marco 2 Foss, Frederick J. II 2 Gerardo-Giorda, Luca 2 Guzmán, Johnny 2 Herbin, Raphaèle 2 Hinze, Michael 2 Hofreither, Clemens 2 Hussain, Malik Zawwar 2 Hutzenthaler, Martin 2 Ikhile, Monday Ndidi Oziegbe 2 Jankuhn, Thomas 2 Jentzen, Arnulf 2 Kamont, Zdzisław 2 Knyazev, Andrew V. 2 Kruse, Thomas 2 Kučera, Václav 2 Kumar, Devendra 2 Li, Cuixia 2 Lipnikov, Konstantin N. 2 Meddahi, Salim 2 Meszmer, Peter 2 Moore, Peter K. 2 Nataf, Frédéric 2 Nechepurenko, Yuri M. 2 Neittaanmäki, Pekka J. 2 Novati, Paolo 2 Okuonghae, Robert I. 2 Ouazzi, Abderrahim 2 Owolabi, Kolade Matthew 2 Rabus, Hella 2 Şahin, Niyazi 2 Schroder, Andreas 2 She, Bangwei 2 Sobotíková, Veronika 2 Šolín, Pavel 2 Soualem, Nadir ...and 475 more Authors all top 5 Fields 319 Numerical analysis (65-XX) 146 Partial differential equations (35-XX) 82 Fluid mechanics (76-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 20 Ordinary differential equations (34-XX) 16 Mechanics of deformable solids (74-XX) 14 Operations research, mathematical programming (90-XX) 8 Integral equations (45-XX) 8 Optics, electromagnetic theory (78-XX) 7 Approximations and expansions (41-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 271 Publications have been cited 3,514 times in 3,176 Documents Cited by ▼ Year ▼ New development in freefem++. Zbl 1266.68090 Hecht, F. 1,254 2012 The deal.II library, version 8.4. Zbl 1348.65187 Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David 100 2016 The deal.II library, version 9.0. Zbl 1410.65363 Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 59 2018 The deal.II library, version 8.5. Zbl 1375.65148 Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 52 2017 Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010 Çeşmelioğlu, A.; Rivière, B. 52 2008 The deal.II library, Version 9.1. Zbl 1435.65010 Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 48 2019 A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065 Chung, Eric; Lee, C. S. 45 2012 Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035 Hackbusch, W.; Khoromskij, B. N.; Tyrtyshnikov, E. E. 43 2005 Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems. Zbl 1056.65076 Linß, T. 39 2004 The deal.II library, version 9.2. Zbl 1452.65222 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David 34 2020 The deal.II library, Version 9.3. Zbl 1478.65004 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi 33 2021 Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099 Pasciak, J. E.; Zhao, J. 29 2002 Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151 Schroeder, Philipp W.; Lube, Gert 28 2017 Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340 Meidner, D.; Rannacher, R.; Vihharev, J. 28 2009 A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077 Roos, H.-G.; Zarin, H. 27 2002 \(A\)-stable discontinuous Galerkin-Petrov time discretization of higher order. Zbl 1198.65093 Schieweck, F. 27 2010 On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292 Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E. 26 2019 Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 1457.65190 Ciarlet, P. jun. 25 2013 A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049 Günther, A.; Hinze, M. 24 2008 Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371 Mohammadi, Masoumeh; Borzì, Alfio 23 2015 Duality-based adaptivity in the \(hp\)-finite element method. Zbl 1050.65111 Heuveline, V.; Rannacher, R. 23 2003 Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032 Benner, Peter; Mena, Hermann 22 2018 A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066 Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H. 22 2006 A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070 Hoppe, R. H. W.; Kieweg, M. 22 2009 Convergence and stability of finite element modified method of characteristics for the incompressible Navier-Stokes equations. Zbl 1120.76038 El-Amrani, M.; Seaid, M. 22 2007 Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems. Zbl 1059.65083 Feistauer, M.; Švadlenka, K. 21 2004 The deal.II library, version 9.4. Zbl 07590497 Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David 20 2022 Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227 Hiptmair, R.; Li, J.; Zou, J. 20 2010 Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040 Axelsson, Owe; Lukáš, Dalibor 19 2019 The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943 Of, G.; Steinbach, O. 19 2009 Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123 Rannacher, R.; Westenberger, A.; Wollner, W. 19 2010 Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184 Rannacher, R.; Vihharev, J. 19 2013 Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. Zbl 1099.65108 Guzmán, J. 18 2006 Angles between subspaces and their tangents. Zbl 1286.65052 Zhu, Peizhen; Knyazev, A. V. 18 2013 Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107 Hussain, S.; Schieweck, F.; Turek, S. 18 2011 Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544 Carstensen, C.; Klose, R. 17 2002 A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167 Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana 17 2017 Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169 Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 17 2020 Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030 Turek, S.; Ouazzi, A. 17 2007 Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147 Owolabi, Kolade M. 16 2017 Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008 Carstensen, C.; Hoppe, R. H. W. 16 2005 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114 Kuznetsov, Yu.; Repin, S. 16 2005 Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123 Kanschat, G.; Rannacher, R. 16 2002 Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108 Bacuta, C.; Bramble, J. H.; Xu, J. 16 2003 Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101 Girault, V.; Kanschat, G.; Rivière, B. 15 2014 A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075 Korotov, S.; Neittaanmäki, P.; Repin, S. 15 2003 Higher-order relaxation schemes for hyperbolic systems of conservation laws. Zbl 1084.65076 Banda, M. K.; Seaid, M. 14 2005 Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105 Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire 14 2017 Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083 Gong, W.; Hinze, M.; Zhou, Z. J. 14 2012 A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331 Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E. 13 2017 Efficient MHD Riemann solvers for simulations on unstructured triangular grids. Zbl 1037.76038 Wesenberg, M. 13 2002 On improvement of the iterated Galerkin solution of the second kind integral equations. Zbl 1088.65115 Kulkarni, R. P. 13 2005 A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation. Zbl 1302.65237 Sweilam, N. H.; Moharram, H.; Moniem, N. K. Abdel; Ahmed, S. 13 2014 Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078 Langer, U.; Wolfmayr, M. 13 2013 \(L_{2}\) error estimates for a nonstandard finite element method on polyhedral meshes. Zbl 1222.65119 Hofreither, C. 13 2011 Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071 Kanschat, Guido; Mao, Youli 12 2015 A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016 Bramble, J. H.; Kolev, T. V.; Pasciak, J. E. 12 2005 Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112 Gerardo-Giorda, L.; Nataf, F. 12 2005 Distributed optimal control of lambda-omega systems. Zbl 1104.65063 Borzì, A.; Griesse, R. 12 2006 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138 Eymard, R.; Gallouët, T.; Herbin, R. 12 2009 Approximating eigenvalues of discontinuous problems by sampling theorems. Zbl 1160.65039 Annaby, M. H.; Asharabi, R. M. 12 2008 Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331 Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas 11 2019 Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279 Gu, Z.; Chen, Y. 11 2014 A variable order wavelet method for the sparse representation of layer potentials in the non-standard form. Zbl 1063.65133 Tausch, J. 11 2004 A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075 Dolbeault, J.; Esteban, M. J. 11 2012 Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147 Xu, X.; Chen, H.; Hoppe, R. H. W. 11 2010 On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110 Proinov, Petko D.; Ivanov, Stoil I. 10 2015 On a discrete Hessian recovery for \(P_1\) finite elements. Zbl 1010.65009 Agouzal, A.; Vassilevski, Yu. 10 2002 Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545 Dauge, M.; Suri, M. 10 2002 An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036 Axelsson, Owe; Neytcheva, Maya; Ström, Anders 10 2018 A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072 Zhou, Z. J.; Yan, N. N. 10 2014 Analysis of two-scale finite volume element method for elliptic problem. Zbl 1067.65124 Ginting, V. 10 2004 Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149 Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats 9 2018 Perturbed second derivative multistep methods. Zbl 1327.65131 Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali 9 2015 Adapted explicit two-step peer methods. Zbl 1476.65127 Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 9 2019 Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108 Hošek, Radim; She, Bangwei 9 2018 An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064 Caboussat, A.; Glowinski, R.; Pons, V. 9 2009 Error control in \(h\)- and \(hp\)-adaptive FEM for Signorini’s problem. Zbl 1423.74919 Schröder, A. 9 2009 A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194 Du, Guangzhi; Zuo, Liyun 9 2021 Modeling rational spline for visualization of shaped data. Zbl 1267.65019 Sarfraz, M.; Hussain, M. Z.; Hussain, M. 9 2013 Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054 Repin, S.; Valdman, J. 9 2008 On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308 Bajpai, Saumya; Pani, Amiya K. 8 2017 \(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177 Lehrenfeld, Christoph; Reusken, Arnold 8 2019 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290 Girault, Vivette; Li, Jizhou; Rivière, Beatrice 8 2016 A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111 Chou, S. H.; Huang, J. 8 2003 Nonconforming spectral/\(hp\) element methods for elliptic systems. Zbl 1170.65334 Kumar, N. K.; Dutt, P. K.; Upadhyay, C. S. 8 2009 Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. Zbl 1177.65092 Hesse, H. K.; Kanschat, G. 8 2009 Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209 Gatica, Gabriel N.; Meddahi, Salim 8 2020 A polynomial chaos approach to stochastic variational inequalities. Zbl 1220.65082 Forster, R.; Kornhuber, R. 8 2010 Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl equation. Zbl 1135.65015 Ibragimov, I.; Rjasanow, S.; Straube, K. 8 2007 Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239 Layton, William; McLaughlin, Michael 8 2020 Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154 Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia 7 2016 An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems. Zbl 1069.65132 Tran, T.; Stephan, E. P. 7 2004 Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144 Neilan, Michael 7 2017 Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. Zbl 1232.65164 Barker, A. T.; Brenner, S. C.; Sung, L.-Y. 7 2011 A new non-interior continuation method for second-order cone programming. Zbl 1288.65088 Tang, J.; He, G.; Fang, L. 7 2013 On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078 Yüzbaşi, Ş.; Şahin, N. 7 2012 Solving \(0=F(t,y(t),y'(t))\) in Matlab. Zbl 1019.65044 Shampine, L. F. 7 2002 Error analysis of higher order trace finite element methods for the surface Stokes equation. Zbl 1491.65142 Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander 7 2021 A note on the efficient evaluation of a modified Hilbert transformation. Zbl 1471.65154 Steinbach, Olaf; Zank, Marco 7 2021 An all Mach number finite volume method for isentropic two-phase flow. Zbl 07745016 Lukáčová-Medvid’ová, Mária; Puppo, Gabriella; Thomann, Andrea 6 2023 Transformed primal-dual methods for nonlinear saddle point systems. Zbl 07775695 Chen, Long; Wei, Jingrong 2 2023 Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations. Zbl 1515.65025 Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Tuan Anh Nguyen 2 2023 New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. Zbl 07775697 Gatica, Gabriel N.; Núñez, Nicolás; Ruiz-Baier, Ricardo 1 2023 An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations. Zbl 07711456 Jha, Abhinav; Pártl, Ondřej; Ahmed, Naveed; Kuzmin, Dmitri 1 2023 A structure preserving front tracking finite element method for the Mullins-Sekerka problem. Zbl 07711459 Nürnberg, Robert 1 2023 Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. Zbl 07745017 Alla, Alessandro; Monti, Angela; Sgura, Ivonne 1 2023 The deal.II library, version 9.4. Zbl 07590497 Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David 20 2022 POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 4 2022 Adaptive space-time finite element methods for parabolic optimal control problems. Zbl 1527.65099 Langer, Ulrich; Schafelner, Andreas 3 2022 On rational Krylov and reduced basis methods for fractional diffusion. Zbl 1490.65266 Danczul, Tobias; Hofreither, Clemens 3 2022 Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1527.92002 Garcke, Harald; Trautwein, Dennis 2 2022 A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. Zbl 1527.76032 Gatica, Gabriel N.; Inzunza, Cristian; Ruiz-Baier, Ricardo; Sandoval, Felipe 2 2022 An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow. Zbl 07542956 Ingimarson, Sean 2 2022 Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures. Zbl 1490.65283 Márquez, Antonio; Meddahi, Salim 2 2022 A \(C^0\)-conforming DG finite element method for biharmonic equations on triangle/tetrahedron. Zbl 1517.65121 Ye, Xiu; Zhang, Shangyou 1 2022 Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. Zbl 1491.65126 Burman, Erik; Puppi, Riccardo 1 2022 The deal.II library, Version 9.3. Zbl 1478.65004 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi 33 2021 A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194 Du, Guangzhi; Zuo, Liyun 9 2021 Error analysis of higher order trace finite element methods for the surface Stokes equation. Zbl 1491.65142 Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander 7 2021 A note on the efficient evaluation of a modified Hilbert transformation. Zbl 1471.65154 Steinbach, Olaf; Zank, Marco 7 2021 A reduced basis method for fractional diffusion operators. II. Zbl 1491.65131 Danczul, Tobias; Schöberl, Joachim 7 2021 A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183 Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 6 2021 Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228 Kuzmin, Dmitri 6 2021 A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181 Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 5 2021 Boundary update via resolvent for fluid-structure interaction. Zbl 1476.65164 Bukač, Martina; Trenchea, Catalin 5 2021 Collocated finite-volume method for the incompressible Navier-Stokes problem. Zbl 1473.65146 Terekhov, Kirill M. 5 2021 Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. Zbl 1481.65253 Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich 3 2021 Acceleration of nonlinear solvers for natural convection problems. Zbl 1495.65174 Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying 3 2021 Relative error analysis of matrix exponential approximations for numerical integration. Zbl 1473.65052 Maset, Stefano 1 2021 Matrix equation solving of PDEs in polygonal domains using conformal mappings. Zbl 1495.65199 Hao, Yue; Simoncini, Valeria 1 2021 Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source. Zbl 1472.65099 Díaz-Adame, Roberto; Jerez, Silvia 1 2021 The deal.II library, version 9.2. Zbl 1452.65222 Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David 34 2020 Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169 Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 17 2020 Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209 Gatica, Gabriel N.; Meddahi, Salim 8 2020 Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239 Layton, William; McLaughlin, Michael 8 2020 A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088 Liao, Cheng; Huang, Pengzhan; He, Yinnian 6 2020 Reduced basis approximations of the solutions to spectral fractional diffusion problems. Zbl 1452.65324 Bonito, Andrea; Guignard, Diane; Zhang, Ashley R. 4 2020 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336 Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 The Fourier-finite-element method for Poisson’s equation in three-dimensional axisymmetric domains with edges: computing the edge flux intensity functions. Zbl 1448.35117 Nkemzi, Boniface; Jung, Michael 2 2020 The deal.II library, Version 9.1. Zbl 1435.65010 Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 48 2019 On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292 Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E. 26 2019 Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040 Axelsson, Owe; Lukáš, Dalibor 19 2019 Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331 Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas 11 2019 Adapted explicit two-step peer methods. Zbl 1476.65127 Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 9 2019 \(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177 Lehrenfeld, Christoph; Reusken, Arnold 8 2019 Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200 Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas 6 2019 A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030 Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan 5 2019 Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. Zbl 1416.65464 Russell, Stephen; Stynes, Martin 4 2019 POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125 Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. 4 2019 Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. Zbl 1458.65129 Voulis, Igor; Reusken, Arnold 3 2019 Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130 Yadav, Sangita; Pani, Amiya K. 3 2019 Convergence of explicitly coupled simulation tools (co-simulations). Zbl 07059685 Moshagen, Thilo 1 2019 A tight nonlinear approximation theory for time dependent closed quantum systems. Zbl 1461.81033 Jerome, Joseph W. 1 2019 The deal.II library, version 9.0. Zbl 1410.65363 Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 59 2018 Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032 Benner, Peter; Mena, Hermann 22 2018 An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036 Axelsson, Owe; Neytcheva, Maya; Ström, Anders 10 2018 Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149 Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats 9 2018 Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108 Hošek, Radim; She, Bangwei 9 2018 An approximation scheme for the Kantorovich-Rubinstein problem on compact spaces. Zbl 1394.49030 Lorena Avendaño-Garrido, Martha; Gabriel-Argüelles, J. Rigoberto; Quintana, Ligia-Torres; González-Hernández, Juan 4 2018 Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions. Zbl 1470.92253 Owolabi, Kolade; Pindza, Edson 3 2018 A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. Zbl 1410.65424 Sharma, Natasha; Kanschat, Guido 2 2018 Error estimates for higher-order finite volume schemes for convection-diffusion problems. Zbl 1432.76176 Kröner, Dietmar; Rokyta, Mirko 1 2018 A note on distributionally robust optimization under moment uncertainty. Zbl 06989836 Liu, Qiang; Wu, Jia; Xiao, Xiantao; Zhang, Liwei 1 2018 The deal.II library, version 8.5. Zbl 1375.65148 Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 52 2017 Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151 Schroeder, Philipp W.; Lube, Gert 28 2017 A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167 Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana 17 2017 Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147 Owolabi, Kolade M. 16 2017 Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105 Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire 14 2017 A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331 Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E. 13 2017 On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308 Bajpai, Saumya; Pani, Amiya K. 8 2017 Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144 Neilan, Michael 7 2017 Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term. Zbl 1375.65129 Wu, Shu-Lin 6 2017 Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050 He, Xin; Vuik, Cornelis; Klaij, Christiaan 4 2017 Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation. Zbl 1362.65069 Zhang, Bo; Chen, Jixin; Yang, Danping 4 2017 A new approach to constructing vector splitting schemes in mixed finite element method for parabolic problems. Zbl 1362.65108 Voronin, Kirill; Laevsky, Yuri 1 2017 The deal.II library, version 8.4. Zbl 1348.65187 Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David 100 2016 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290 Girault, Vivette; Li, Jizhou; Rivière, Beatrice 8 2016 Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154 Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia 7 2016 Qualitative analysis and numerical solution of Burgers’ equation via B-spline collocation with implicit Euler method on piecewise uniform mesh. Zbl 1339.65148 Gupta, Vikas; Kadalbajoo, Mohan K. 6 2016 A direct algorithm in some free boundary problems. Zbl 1352.65168 Murea, Cornel M.; Tiba, Dan 4 2016 Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090 Maier, Matthias; Rannacher, Rolf 3 2016 Error analysis of finite element and finite volume methods for some viscoelastic fluids. Zbl 1338.76059 Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei; Stebel, Jan 3 2016 Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060 Apel, Thomas; Steinbach, Olaf; Winkler, Max 2 2016 Curvature approximation of circular arcs by low-degree parametric polynomials. Zbl 1338.65029 Kovač, Boštjan; Žagar, Emil 2 2016 Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033 Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan 1 2016 A priori error analysis for optimal distributed control problem governed by the first order linear hyperbolic equation: hp-streamline diffusion discontinuous Galerkin method. Zbl 1357.49122 Xiong, Chunguang; Luo, Fusheng; Ma, Xiuling; Li, Yu’an 1 2016 Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371 Mohammadi, Masoumeh; Borzì, Alfio 23 2015 Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071 Kanschat, Guido; Mao, Youli 12 2015 On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110 Proinov, Petko D.; Ivanov, Stoil I. 10 2015 Perturbed second derivative multistep methods. Zbl 1327.65131 Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali 9 2015 Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168 Badea, Lori 6 2015 On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168 Balázsová, Monika; Feistauer, Miloslav; Hadrava, Martin; Kosík, Adam 6 2015 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237 Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte 5 2015 Pythagorean-hodograph cycloidal curves. Zbl 1328.65053 Kozak, Jernej; Krajnc, Marjeta; Rogina, Mladen; Vitrih, Vito 5 2015 Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228 Yousept, Irwin 5 2015 Convergence and error estimation of homotopy analysis method for some type of nonlinear and linear integral equations. Zbl 1328.65272 Hetmaniok, Edyta; Nowak, Iwona; Słota, Damian; Wituła, Roman 4 2015 Chebyshev polynomials and best approximation of some classes of functions. Zbl 1323.41027 Eslahchi, Mohammad R.; Dehghan, Mehdi; Amani, Sanaz 4 2015 A Newton-like method for computing deflating subspaces. Zbl 1328.65086 Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud 3 2015 A relaxed splitting preconditioner for saddle point problems. Zbl 1328.65077 Li, Cui-Xia; Wu, Shi-Liang; Huang, Ai-Qun 3 2015 ...and 171 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,172 Authors 36 Shang, Yueqiang 33 Gatica, Gabriel N. 33 Wick, Thomas 28 Seaïd, Mohammed 27 Oyarzúa, Ricardo 25 Rebholz, Leo G. 24 Caucao, Sergio 22 Allaire, Grégoire 22 Burman, Erik 22 He, Yinnian 22 Kronbichler, Martin 21 El-Amrani, Mofdi 20 Chung, Tsz Shun Eric 20 Sayah, Toni 20 Si, Zhiyong 20 Sinha, Rajen Kumar 19 Langer, Ulrich 18 Axelsson, Axel Owe Holger 18 Du, Guangzhi 18 Dumbser, Michael 18 Heltai, Luca 18 Khoromskiĭ, Boris Nikolaevich 18 Zheng, Haibiao 17 Hecht, Frédéric 17 Huang, Pengzhan 17 Jiang, Yaolin 17 Jolivet, Pierre 17 Perotto, Simona 17 Zhu, Shengfeng 16 Hou, Yanren 16 Vohralík, Martin 16 Wollner, Winnifried 16 Yotov, Ivan 15 Guillén González, Francisco M. 15 Kaya, Songul 15 Maier, Matthias Sebastian 15 Repin, Sergeĭ Igorevich 15 Yang, Yunbo 14 Chacón Rebollo, Tomás 14 He, Xiaoming 14 Nataf, Frédéric 13 Bause, Markus 13 Borzì, Alfio 13 Çibik, Aytekin Bayram 13 Girault, Vivette 13 Lee, Sanghyun 13 Owolabi, Kolade Matthew 13 Quarteroni, Alfio M. 13 Rivière, Beatrice M. 13 Rubino, Samuele 13 Tournier, Pierre-Henri 13 Yakoubi, Driss 12 Bangerth, Wolfgang 12 Dapogny, Charles 12 Dede’, Luca 12 Feng, Xinlong 12 Hackbusch, Wolfgang 12 Han, Daozhi 12 Heister, Timo 12 Hoppe, Ronald H. W. 12 Jiang, Nan 12 Marquet, Olivier 12 Münch, Arnaud 12 Steinmann, Paul 12 Turek, Stefan 12 Wang, Xiaoming 12 Wheeler, Mary Fanett 11 An, Rong 11 Assous, Franck 11 Bernardi, Christine 11 Bukač, Martina 11 Carstensen, Carsten 11 Conte, Dajana 11 Feistauer, Miloslav 11 Gómez Mármol, Macarena 11 Linke, Alexander 11 Maday, Yvon 11 Olshanskii, Maxim A. 11 Sipp, Denis 11 Wall, Wolfgang A. 10 Al Mahbub, Md. 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