Mola, Andrea; Giuliani, Nicola; Crego, Óscar; Rozza, Gianluigi A unified steady and unsteady formulation for hydrodynamic potential flow simulations with fully nonlinear free surface boundary conditions. (English) Zbl 1525.76014 Appl. Math. Modelling 122, 322-349 (2023). MSC: 76B07 65N30 PDFBibTeX XMLCite \textit{A. Mola} et al., Appl. Math. Modelling 122, 322--349 (2023; Zbl 1525.76014) Full Text: DOI arXiv
Anselmann, Mathias; Bause, Markus Higher order Galerkin-collocation time discretization with Nitsche’s method for the Navier-Stokes equations. (English) Zbl 07431484 Math. Comput. Simul. 189, 141-162 (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{M. Anselmann} and \textit{M. Bause}, Math. Comput. Simul. 189, 141--162 (2021; Zbl 07431484) Full Text: DOI arXiv
Bettencourt, Matthew T.; Brown, Dominic A. S.; Cartwright, Keith L.; Cyr, Eric C.; Glusa, Christian A.; Lin, Paul T.; Moore, Stan G.; Mcgregor, Duncan A. O.; Pawlowski, Roger P.; Phillips, Edward G.; Roberts, Nathan V.; Wright, Steven A.; Maheswaran, Satheesh; Jones, John P.; Jarvis, Stephen A. EMPIRE-PIC: a performance portable unstructured particle-in-cell code. (English) Zbl 1494.78004 Commun. Comput. Phys. 30, No. 4, 1232-1268 (2021). MSC: 78-04 78M10 78M20 78M99 78A25 78A30 78A35 78A60 65M60 65M06 65N30 65M75 65M25 65Y05 65Y10 76X05 76M28 35Q60 PDFBibTeX XMLCite \textit{M. T. Bettencourt} et al., Commun. Comput. Phys. 30, No. 4, 1232--1268 (2021; Zbl 1494.78004) Full Text: DOI
Anselmann, Mathias; Bause, Markus Numerical study of Galerkin-collocation approximation in time for the wave equation. (English) Zbl 1466.65117 Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 15-36 (2020). MSC: 65M60 65M70 65F05 65F08 65F10 PDFBibTeX XMLCite \textit{M. Anselmann} and \textit{M. Bause}, in: Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018. Cham: Birkhäuser. 15--36 (2020; Zbl 1466.65117) Full Text: DOI arXiv
Sander, Oliver DUNE – the distributed and unified numerics environment. (English) Zbl 1483.65004 Lecture Notes in Computational Science and Engineering 140. Cham: Springer (ISBN 978-3-030-59701-6/hbk; 978-3-030-59704-7/pbk; 978-3-030-59702-3/ebook). ix, 616 p. (2020). Reviewer: Albert Luo (Edwardsville) MSC: 65-01 65-04 65M60 65N30 65M08 65N08 PDFBibTeX XMLCite \textit{O. Sander}, DUNE -- the distributed and unified numerics environment. Cham: Springer (2020; Zbl 1483.65004) Full Text: DOI
Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan The DPG-star method. (English) Zbl 1447.65133 Comput. Math. Appl. 79, No. 11, 3092-3116 (2020). MSC: 65N30 65F20 65N12 65N15 35B45 35N25 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Comput. Math. Appl. 79, No. 11, 3092--3116 (2020; Zbl 1447.65133) Full Text: DOI arXiv
Lin, Stephen; Yan, Jinhui; Kats, Dmitriy; Wagner, Gregory J. A volume-conserving balanced-force level set method on unstructured meshes using a control volume finite element formulation. (English) Zbl 1451.76071 J. Comput. Phys. 380, 119-142 (2019). MSC: 76M10 65M60 76T10 76D05 76D45 PDFBibTeX XMLCite \textit{S. Lin} et al., J. Comput. Phys. 380, 119--142 (2019; Zbl 1451.76071) Full Text: DOI
Bassett, Brody; Kiedrowski, Brian Meshless local Petrov-Galerkin solution of the neutron transport equation with streamline-upwind Petrov-Galerkin stabilization. (English) Zbl 1416.82005 J. Comput. Phys. 377, 1-59 (2019). MSC: 82-08 82D75 PDFBibTeX XMLCite \textit{B. Bassett} and \textit{B. Kiedrowski}, J. Comput. Phys. 377, 1--59 (2019; Zbl 1416.82005) Full Text: DOI
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G. Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations. (English) Zbl 1478.65082 Appl. Numer. Math. 141, 220-233 (2019). MSC: 65M60 35Q35 65M22 76D05 PDFBibTeX XMLCite \textit{S. Charnyi} et al., Appl. Numer. Math. 141, 220--233 (2019; Zbl 1478.65082) Full Text: DOI arXiv
Gesenhues, Linda; Camata, José J.; Côrtes, Adriano M. A.; Rochinha, Fernando A.; Coutinho, Alvaro L. G. A. Finite element simulation of complex dense granular flows using a well-posed regularization of the \(\mu(I)\)-rheology. (English) Zbl 1519.76339 Comput. Fluids 188, 102-113 (2019). MSC: 76T25 76M10 65M60 PDFBibTeX XMLCite \textit{L. Gesenhues} et al., Comput. Fluids 188, 102--113 (2019; Zbl 1519.76339) Full Text: DOI
Choo, Jinhyun; Lee, Sanghyun Enriched Galerkin finite elements for coupled poromechanics with local mass conservation. (English) Zbl 1440.74120 Comput. Methods Appl. Mech. Eng. 341, 311-332 (2018). MSC: 74F10 74S05 65M60 PDFBibTeX XMLCite \textit{J. Choo} and \textit{S. Lee}, Comput. Methods Appl. Mech. Eng. 341, 311--332 (2018; Zbl 1440.74120) Full Text: DOI
Zhang, Hong; Zegeling, Paul Andries Simulation of thin film flows with a moving mesh mixed finite element method. (English) Zbl 1427.76153 Appl. Math. Comput. 338, 274-289 (2018). MSC: 76M10 65M60 76A20 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{P. A. Zegeling}, Appl. Math. Comput. 338, 274--289 (2018; Zbl 1427.76153) Full Text: DOI arXiv
Becker, G.; Siefert, C. M.; Tuminaro, R. S.; Sun, H.; Valiveti, D. M.; Mohan, A.; Yin, J.; Huang, H. High resolution viscous fingering simulation in miscible displacement using a \(p\)-adaptive discontinuous Galerkin method with algebraic multigrid preconditioner. (English) Zbl 1416.76094 J. Comput. Phys. 374, 495-514 (2018). MSC: 76M10 76S05 65M60 PDFBibTeX XMLCite \textit{G. Becker} et al., J. Comput. Phys. 374, 495--514 (2018; Zbl 1416.76094) Full Text: DOI
Lee, Sanghyun; Wheeler, Mary F. Enriched Galerkin methods for two-phase flow in porous media with capillary pressure. (English) Zbl 1415.76456 J. Comput. Phys. 367, 65-86 (2018). MSC: 76M10 76S05 65M60 76T99 PDFBibTeX XMLCite \textit{S. Lee} and \textit{M. F. Wheeler}, J. Comput. Phys. 367, 65--86 (2018; Zbl 1415.76456) Full Text: DOI arXiv
Kronbichler, Martin; Wall, Wolfgang A. A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers. (English) Zbl 1402.65163 SIAM J. Sci. Comput. 40, No. 5, A3423-A3448 (2018). MSC: 65N30 65N55 65Y05 68W10 65N12 PDFBibTeX XMLCite \textit{M. Kronbichler} and \textit{W. A. Wall}, SIAM J. Sci. Comput. 40, No. 5, A3423--A3448 (2018; Zbl 1402.65163) Full Text: DOI arXiv
Ke, G.; Aulisa, E.; Dillon, G.; Howle, V. Augmented Lagrangian-based preconditioners for steady buoyancy driven flow. (English) Zbl 1407.65291 Appl. Math. Lett. 82, 1-7 (2018). MSC: 65N30 65F10 65F18 65F08 35Q35 76R10 PDFBibTeX XMLCite \textit{G. Ke} et al., Appl. Math. Lett. 82, 1--7 (2018; Zbl 1407.65291) Full Text: DOI
Thiele, Christopher; Araya-Polo, Mauricio; Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations. (English) Zbl 1398.65088 Comput. Math. Appl. 74, No. 8, 1769-1778 (2017). MSC: 65F50 65F10 65N30 PDFBibTeX XMLCite \textit{C. Thiele} et al., Comput. Math. Appl. 74, No. 8, 1769--1778 (2017; Zbl 1398.65088) Full Text: DOI
Jomo, John N.; Zander, Nils; Elhaddad, Mohamed; Özcan, Ali; Kollmannsberger, Stefan; Mundani, Ralf-Peter; Rank, Ernst Parallelization of the multi-level \(hp\)-adaptive finite cell method. (English) Zbl 1375.65151 Comput. Math. Appl. 74, No. 1, 126-142 (2017). MSC: 65N30 65N50 65N55 65Y05 65Y20 35J25 PDFBibTeX XMLCite \textit{J. N. Jomo} et al., Comput. Math. Appl. 74, No. 1, 126--142 (2017; Zbl 1375.65151) Full Text: DOI arXiv
Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. (English) Zbl 1388.76140 J. Comput. Appl. Math. 314, 40-60 (2017). MSC: 76M10 65M60 76S05 86A40 74F10 74R99 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Comput. Appl. Math. 314, 40--60 (2017; Zbl 1388.76140) Full Text: DOI arXiv
Dalcin, L.; Collier, N.; Vignal, P.; Côrtes, A. M. A.; Calo, V. M. PetIGA: a framework for high-performance isogeometric analysis. (English) Zbl 1439.65003 Comput. Methods Appl. Mech. Eng. 308, 151-181 (2016). MSC: 65-04 65N30 65D07 65D17 PDFBibTeX XMLCite \textit{L. Dalcin} et al., Comput. Methods Appl. Mech. Eng. 308, 151--181 (2016; Zbl 1439.65003) Full Text: DOI arXiv Link
Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. (English) Zbl 1423.76212 Comput. Methods Appl. Mech. Eng. 300, 129-145 (2016). MSC: 76M10 65M60 65M22 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Benzi} et al., Comput. Methods Appl. Mech. Eng. 300, 129--145 (2016; Zbl 1423.76212) Full Text: DOI
Davydov, Denis; Young, Toby D.; Steinmann, Paul On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation. (English) Zbl 1352.65460 Int. J. Numer. Methods Eng. 106, No. 11, 863-888 (2016). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{D. Davydov} et al., Int. J. Numer. Methods Eng. 106, No. 11, 863--888 (2016; Zbl 1352.65460) Full Text: DOI
Kronbichler, M.; Schoeder, S.; Müller, C.; Wall, W. A. Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation. (English) Zbl 1352.76058 Int. J. Numer. Methods Eng. 106, No. 9, 712-739 (2016). MSC: 76M10 76Q05 65M60 65M12 PDFBibTeX XMLCite \textit{M. Kronbichler} et al., Int. J. Numer. Methods Eng. 106, No. 9, 712--739 (2016; Zbl 1352.76058) Full Text: DOI
Balajewicz, Maciej; Tezaur, Irina; Dowell, Earl Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations. (English) Zbl 1349.76171 J. Comput. Phys. 321, 224-241 (2016). MSC: 76M10 65M60 65M20 76Nxx PDFBibTeX XMLCite \textit{M. Balajewicz} et al., J. Comput. Phys. 321, 224--241 (2016; Zbl 1349.76171) Full Text: DOI arXiv
Christon, Mark A.; Bakosi, Jozsef; Nadiga, Balasubramanya T.; Berndt, Markus; Francois, Marianne M.; Stagg, Alan K.; Xia, Yidong; Luo, Hong A hybrid incremental projection method for thermal-hydraulics applications. (English) Zbl 1349.76190 J. Comput. Phys. 317, 382-404 (2016). MSC: 76M10 65M60 76D05 76M12 PDFBibTeX XMLCite \textit{M. A. Christon} et al., J. Comput. Phys. 317, 382--404 (2016; Zbl 1349.76190) Full Text: DOI
Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S. A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling. (English) Zbl 1351.65095 SIAM J. Sci. Comput. 38, No. 5, C504-C532 (2016). MSC: 65N55 35Q86 65N30 86A05 65F10 PDFBibTeX XMLCite \textit{R. Tuminaro} et al., SIAM J. Sci. Comput. 38, No. 5, C504--C532 (2016; Zbl 1351.65095) Full Text: DOI
John, Volker Finite element methods for incompressible flow problems. (English) Zbl 1358.76003 Springer Series in Computational Mathematics 51. Cham: Springer (ISBN 978-3-319-45749-9/hbk; 978-3-319-45750-5/ebook). xiii, 812 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76-02 76M10 76M20 76D05 76B47 76F65 00A79 65M06 65M12 65M15 65M60 65N12 65N15 65N30 65F08 PDFBibTeX XMLCite \textit{V. John}, Finite element methods for incompressible flow problems. Cham: Springer (2016; Zbl 1358.76003) Full Text: DOI
Philip, Bobby; Berrill, Mark A.; Allu, Srikanth; Hamilton, Steven P.; Sampath, Rahul S.; Clarno, Kevin T.; Dilts, Gary A. A parallel multi-domain solution methodology applied to nonlinear thermal transport problems in nuclear fuel pins. (English) Zbl 1351.80013 J. Comput. Phys. 286, 143-171 (2015). MSC: 80M10 65N30 80A20 PDFBibTeX XMLCite \textit{B. Philip} et al., J. Comput. Phys. 286, 143--171 (2015; Zbl 1351.80013) Full Text: DOI arXiv
Bause, Markus; Köcher, Uwe Variational time discretization for mixed finite element approximations of nonstationary diffusion problems. (English) Zbl 1317.65201 J. Comput. Appl. Math. 289, 208-224 (2015). MSC: 65M60 35K20 65M12 65F08 PDFBibTeX XMLCite \textit{M. Bause} and \textit{U. Köcher}, J. Comput. Appl. Math. 289, 208--224 (2015; Zbl 1317.65201) Full Text: DOI
Bosch, Jessica; Stoll, Martin; Benner, Peter Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. (English) Zbl 1349.65438 J. Comput. Phys. 262, 38-57 (2014). MSC: 65M60 65K15 35K86 PDFBibTeX XMLCite \textit{J. Bosch} et al., J. Comput. Phys. 262, 38--57 (2014; Zbl 1349.65438) Full Text: DOI
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. (English) Zbl 1350.65120 Comput. Math. Appl. 67, No. 4, 771-795 (2014). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{J. Chan} et al., Comput. Math. Appl. 67, No. 4, 771--795 (2014; Zbl 1350.65120) Full Text: DOI Link
Köcher, Uwe; Bause, Markus Variational space-time methods for the wave equation. (English) Zbl 1304.65218 J. Sci. Comput. 61, No. 2, 424-453 (2014). MSC: 65M60 35L05 65M12 PDFBibTeX XMLCite \textit{U. Köcher} and \textit{M. Bause}, J. Sci. Comput. 61, No. 2, 424--453 (2014; Zbl 1304.65218) Full Text: DOI
Roberts, Scott A.; Noble, David R.; Benner, Eric M.; Schunk, P. Randall Multiphase hydrodynamic lubrication flow using a three-dimensional shell finite element model. (English) Zbl 1290.76070 Comput. Fluids 87, 12-25 (2013). MSC: 76M10 76D08 65N30 76A20 76Txx PDFBibTeX XMLCite \textit{S. A. Roberts} et al., Comput. Fluids 87, 12--25 (2013; Zbl 1290.76070) Full Text: DOI
Sudhakar, Y.; Wall, Wolfgang A. Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods. (English) Zbl 1286.65037 Comput. Methods Appl. Mech. Eng. 258, 39-54 (2013). MSC: 65D30 65N30 PDFBibTeX XMLCite \textit{Y. Sudhakar} and \textit{W. A. Wall}, Comput. Methods Appl. Mech. Eng. 258, 39--54 (2013; Zbl 1286.65037) Full Text: DOI
Longo, Antonella; Barsanti, Michele; Cassioli, Andrea; Papale, Paolo A finite element Galerkin/least-squares method for computation of multicomponent compressible-incompressible flows. (English) Zbl 1365.76123 Comput. Fluids 67, 57-71 (2012). MSC: 76M10 76T99 65M60 PDFBibTeX XMLCite \textit{A. Longo} et al., Comput. Fluids 67, 57--71 (2012; Zbl 1365.76123) Full Text: DOI
Kronbichler, Martin; Kormann, Katharina A generic interface for parallel cell-based finite element operator application. (English) Zbl 1365.76121 Comput. Fluids 63, 135-147 (2012). MSC: 76M10 65N30 76-04 PDFBibTeX XMLCite \textit{M. Kronbichler} and \textit{K. Kormann}, Comput. Fluids 63, 135--147 (2012; Zbl 1365.76121) Full Text: DOI
Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. (English) Zbl 1398.74401 Comput. Mech. 50, No. 4, 445-478 (2012). MSC: 74S05 65N30 74S30 76M10 74B20 42C40 PDFBibTeX XMLCite \textit{D. Schillinger} et al., Comput. Mech. 50, No. 4, 445--478 (2012; Zbl 1398.74401) Full Text: DOI
Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway A fast solver for a nonlocal dielectric continuum model. (English) Zbl 1260.78016 SIAM J. Sci. Comput. 34, No. 2, B107-B126 (2012). Reviewer: Johannes Elschner (Berlin) MSC: 78M10 65N30 78A30 92-08 PDFBibTeX XMLCite \textit{D. Xie} et al., SIAM J. Sci. Comput. 34, No. 2, B107--B126 (2012; Zbl 1260.78016) Full Text: DOI Link
Elman, Howard C.; Miller, Christopher W.; Phipps, Eric T.; Tuminaro, Raymond S. Assessment of collocation and Galerkin approaches to linear diffusion equations with random data. (English) Zbl 1229.65026 Int. J. Uncertain. Quantif. 1, No. 1, 19-33 (2011). MSC: 65C30 60H15 60H35 35R60 65N30 65Y20 PDFBibTeX XMLCite \textit{H. C. Elman} et al., Int. J. Uncertain. Quantif. 1, No. 1, 19--33 (2011; Zbl 1229.65026) Full Text: DOI
Bochev, Pavel B.; Peterson, Kara; Siefert, Christopher M. Analysis and computation of compatible least-squares methods for div-curl equations. (English) Zbl 1229.65207 SIAM J. Numer. Anal. 49, No. 1, 159-181 (2011). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 65N15 35J25 35Q60 78A30 78M10 PDFBibTeX XMLCite \textit{P. B. Bochev} et al., SIAM J. Numer. Anal. 49, No. 1, 159--181 (2011; Zbl 1229.65207) Full Text: DOI Link
Long, Kevin; Kirby, Robert; Van Bloemen Waanders, Bart Unified embedded parallel finite element computations via software-based Fréchet differentiation. (English) Zbl 1221.65306 SIAM J. Sci. Comput. 32, No. 6, 3323-3351 (2010). MSC: 65N30 35J65 35F15 PDFBibTeX XMLCite \textit{K. Long} et al., SIAM J. Sci. Comput. 32, No. 6, 3323--3351 (2010; Zbl 1221.65306) Full Text: DOI
Beig, Davood Ansari Oghol; Leong, Mook-Seng Dual-grid-based tree/cotree decomposition of higher-order interpolatory \(H(\nabla \wedge, \Omega )\) basis. (English) Zbl 1193.65197 Int. J. Numer. Methods Eng. 82, No. 13, 1689-1719 (2010). MSC: 65N30 65F10 PDFBibTeX XMLCite \textit{D. A. O. Beig} and \textit{M.-S. Leong}, Int. J. Numer. Methods Eng. 82, No. 13, 1689--1719 (2010; Zbl 1193.65197) Full Text: DOI