Bhole, Ashish; Nkonga, Boniface; Pamela, Stanislas; Huijsmans, Guido; Hoelzl, Matthias; JOREK team Treatment of polar grid singularities in the bi-cubic Hermite-Bézier approximations: isoparametric finite element framework. (English) Zbl 07605582 J. Comput. Phys. 471, Article ID 111611, 20 p. (2022). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{A. Bhole} et al., J. Comput. Phys. 471, Article ID 111611, 20 p. (2022; Zbl 07605582) Full Text: DOI
Assing da Silva, Ivan; Dalledone Machado, Roberto; Arndt, Marcos; de Oliveira Weinhardt, Paulo Assessment of the flat-top stable GFEM for free vibration analysis. (English) Zbl 1524.65510 Comput. Math. Appl. 117, 271-283 (2022). MSC: 65M60 65N30 74S05 35J25 65N12 65N15 74H45 PDFBibTeX XMLCite \textit{I. Assing da Silva} et al., Comput. Math. Appl. 117, 271--283 (2022; Zbl 1524.65510) Full Text: DOI
Aguirre-Mesa, Andres M.; Garcia, Manuel J.; Aristizabal, Mauricio; Wagner, David; Ramirez-Tamayo, Daniel; Montoya, Arturo; Millwater, Harry A block forward substitution method for solving the hypercomplex finite element system of equations. (English) Zbl 1507.65167 Comput. Methods Appl. Mech. Eng. 387, Article ID 114195, 25 p. (2021). MSC: 65M50 65N50 PDFBibTeX XMLCite \textit{A. M. Aguirre-Mesa} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114195, 25 p. (2021; Zbl 1507.65167) Full Text: DOI
Daneshyar, Alireza; Ghaemian, Mohsen A general solution procedure for the scaled boundary finite element method via shooting technique. (English) Zbl 1507.74462 Comput. Methods Appl. Mech. Eng. 384, Article ID 113996, 22 p. (2021). MSC: 74S05 65L60 65L06 PDFBibTeX XMLCite \textit{A. Daneshyar} and \textit{M. Ghaemian}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113996, 22 p. (2021; Zbl 1507.74462) Full Text: DOI
Ya, Shukai; Eisenträger, Sascha; Song, Chongmin; Li, Jianbo An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes. (English) Zbl 1506.74473 Comput. Methods Appl. Mech. Eng. 381, Article ID 113766, 36 p. (2021). MSC: 74S15 65M38 74A50 PDFBibTeX XMLCite \textit{S. Ya} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113766, 36 p. (2021; Zbl 1506.74473) Full Text: DOI arXiv
Shojaei, Arman; Hermann, Alexander; Seleson, Pablo; Cyron, Christian J. Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models. (English) Zbl 1465.74017 Comput. Mech. 66, No. 4, 773-793 (2020). MSC: 74A70 74S05 PDFBibTeX XMLCite \textit{A. Shojaei} et al., Comput. Mech. 66, No. 4, 773--793 (2020; Zbl 1465.74017) Full Text: DOI
Essaouini, M.; Abouzaid, B.; Gaudreau, P.; Safouhi, H. Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities. (English) Zbl 1451.65097 Numer. Algorithms 84, No. 4, 1397-1409 (2020). MSC: 65L15 65L60 81Q05 PDFBibTeX XMLCite \textit{M. Essaouini} et al., Numer. Algorithms 84, No. 4, 1397--1409 (2020; Zbl 1451.65097) Full Text: DOI arXiv
Fučík, Radek; Klinkovský, Jakub; Solovský, Jakub; Oberhuber, Tomáš; Mikyška, Jiří Multidimensional mixed-hybrid finite element method for compositional two-phase flow in heterogeneous porous media and its parallel implementation on GPU. (English) Zbl 07683965 Comput. Phys. Commun. 238, 165-180 (2019). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{R. Fučík} et al., Comput. Phys. Commun. 238, 165--180 (2019; Zbl 07683965) Full Text: DOI
Tiutiunnik, A. A.; Divakov, D. V.; Malykh, M. D.; Sevastianov, L. A. Symbolic-numeric implementation of the four potential method for calculating normal modes: an example of square electromagnetic waveguide with rectangular insert. (English) Zbl 1437.65200 England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 412-429 (2019). MSC: 65N30 78A50 78A30 68W30 65N12 PDFBibTeX XMLCite \textit{A. A. Tiutiunnik} et al., Lect. Notes Comput. Sci. 11661, 412--429 (2019; Zbl 1437.65200) Full Text: DOI
Young, Larry C. Orthogonal collocation revisited. (English) Zbl 1440.65256 Comput. Methods Appl. Mech. Eng. 345, 1033-1076 (2019). MSC: 65N35 65M70 PDFBibTeX XMLCite \textit{L. C. Young}, Comput. Methods Appl. Mech. Eng. 345, 1033--1076 (2019; Zbl 1440.65256) Full Text: DOI
Kitzler, Gerhard; Schöberl, Joachim A polynomial spectral method for the spatially homogeneous Boltzmann equation. (English) Zbl 1421.35238 SIAM J. Sci. Comput. 41, No. 1, B27-B49 (2019). Reviewer: Mária Lukáčová (Mainz) MSC: 35Q20 65M70 65M60 76P05 82C40 PDFBibTeX XMLCite \textit{G. Kitzler} and \textit{J. Schöberl}, SIAM J. Sci. Comput. 41, No. 1, B27--B49 (2019; Zbl 1421.35238) Full Text: DOI arXiv
Drmač, Zlatko; Saibaba, Arvind Krishna The discrete empirical interpolation method: canonical structure and formulation in weighted inner product spaces. (English) Zbl 1415.65107 SIAM J. Matrix Anal. Appl. 39, No. 3, 1152-1180 (2018). MSC: 65F99 65F15 65F35 65M20 65M22 65M60 PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{A. K. Saibaba}, SIAM J. Matrix Anal. Appl. 39, No. 3, 1152--1180 (2018; Zbl 1415.65107) Full Text: DOI arXiv
Łoś, Marcin M.; Woźniak, Maciej; Paszyński, Maciej; Lenharth, Andrew; Hassaan, Muhamm Amber; Pingali, Keshav IGA-ADS: isogeometric analysis FEM using ADS solver. (English) Zbl 1411.65132 Comput. Phys. Commun. 217, 99-116 (2017). MSC: 65M60 35-04 PDFBibTeX XMLCite \textit{M. M. Łoś} et al., Comput. Phys. Commun. 217, 99--116 (2017; Zbl 1411.65132) Full Text: DOI
Boedec, Gwenn; Leonetti, Marc; Jaeger, Marc Isogeometric FEM-BEM simulations of drop, capsule and vesicle dynamics in Stokes flow. (English) Zbl 1376.74008 J. Comput. Phys. 342, 117-138 (2017). MSC: 74F10 74K15 76M15 74M10 PDFBibTeX XMLCite \textit{G. Boedec} et al., J. Comput. Phys. 342, 117--138 (2017; Zbl 1376.74008) Full Text: DOI HAL
Bolis, A.; Cantwell, C. D.; Moxey, D.; Serson, D.; Sherwin, S. J. An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/hp element method and MPI virtual topologies. (English) Zbl 1375.76068 Comput. Phys. Commun. 206, 17-25 (2016). MSC: 76F65 76M10 65Y05 76D05 PDFBibTeX XMLCite \textit{A. Bolis} et al., Comput. Phys. Commun. 206, 17--25 (2016; Zbl 1375.76068) Full Text: DOI
White, Robert E. Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. (English) Zbl 1336.65002 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-3515-9/hbk; 978-1-4822-3517-3/ebook). xxii, 476 p. (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65-01 65Fxx 65Y05 65Y15 35K05 35J05 35L05 65M06 65N06 76M20 65D18 94A08 91G60 68W30 92D30 76B15 PDFBibTeX XMLCite \textit{R. E. White}, Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. Boca Raton, FL: CRC Press (2016; Zbl 1336.65002)
Pardo, D.; Álvarez-Aramberri, J.; Paszynski, M.; Dalcin, L.; Calo, V. M. Impact of element-level static condensation on iterative solver performance. (English) Zbl 1443.65299 Comput. Math. Appl. 70, No. 10, 2331-2341 (2015). MSC: 65N22 65N30 PDFBibTeX XMLCite \textit{D. Pardo} et al., Comput. Math. Appl. 70, No. 10, 2331--2341 (2015; Zbl 1443.65299) Full Text: DOI
Arbogast, Todd; Xiao, Hailong Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems. (English) Zbl 1425.65042 Comput. Methods Appl. Mech. Eng. 292, 221-242 (2015). MSC: 65F08 65N30 65N55 76S05 PDFBibTeX XMLCite \textit{T. Arbogast} and \textit{H. Xiao}, Comput. Methods Appl. Mech. Eng. 292, 221--242 (2015; Zbl 1425.65042) Full Text: DOI
Du, Kui; Fairweather, Graeme; Sun, Weiwei Matrix decomposition algorithms for arbitrary order \(C^0\) tensor product finite element systems. (English) Zbl 1297.65029 J. Comput. Appl. Math. 275, 162-182 (2015). MSC: 65F05 65N22 65N30 PDFBibTeX XMLCite \textit{K. Du} et al., J. Comput. Appl. Math. 275, 162--182 (2015; Zbl 1297.65029) Full Text: DOI
Jaust, Alexander; Schütz, Jochen A temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows. (English) Zbl 1390.65109 Comput. Fluids 98, 177-185 (2014). MSC: 65M60 PDFBibTeX XMLCite \textit{A. Jaust} and \textit{J. Schütz}, Comput. Fluids 98, 177--185 (2014; Zbl 1390.65109) Full Text: DOI arXiv
Behnke, R.; Mundil, M.; Birk, C.; Kaliske, M. A physically and geometrically nonlinear scaled-boundary-based finite element formulation for fracture in elastomers. (English) Zbl 1352.74278 Int. J. Numer. Methods Eng. 99, No. 13, 966-999 (2014). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{R. Behnke} et al., Int. J. Numer. Methods Eng. 99, No. 13, 966--999 (2014; Zbl 1352.74278) Full Text: DOI
Ji, Haifeng; Chen, Jinru; Li, Zhilin A symmetric and consistent immersed finite element method for interface problems. (English) Zbl 1308.65198 J. Sci. Comput. 61, No. 3, 533-557 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 35J25 35R05 65N12 PDFBibTeX XMLCite \textit{H. Ji} et al., J. Sci. Comput. 61, No. 3, 533--557 (2014; Zbl 1308.65198) Full Text: DOI
Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C.; Scheichl, R. Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. (English) Zbl 1291.65109 Numer. Math. 126, No. 4, 741-770 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N22 65N30 65N55 PDFBibTeX XMLCite \textit{N. Spillane} et al., Numer. Math. 126, No. 4, 741--770 (2014; Zbl 1291.65109) Full Text: DOI Link
Jin, Jian-Ming The finite element method in electromagnetics. 3rd ed. (English) Zbl 1419.78001 Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-57136-1/hbk). xxix, 846 p. (2014). Reviewer: Georg Hebermehl (Berlin) MSC: 78-01 78M10 78M15 78A25 78A30 78A40 78A45 65M60 65N30 65F05 65F10 65F15 65Z05 65Y05 PDFBibTeX XMLCite \textit{J.-M. Jin}, The finite element method in electromagnetics. 3rd ed. Hoboken, NJ: John Wiley \& Sons (2014; Zbl 1419.78001)
Müller, B.; Kummer, F.; Oberlack, M. Highly accurate surface and volume integration on implicit domains by means of moment-fitting. (English) Zbl 1352.65083 Int. J. Numer. Methods Eng. 96, No. 8, 512-528 (2013). MSC: 65D30 65N30 PDFBibTeX XMLCite \textit{B. Müller} et al., Int. J. Numer. Methods Eng. 96, No. 8, 512--528 (2013; Zbl 1352.65083) Full Text: DOI
Min, Misun; Fischer, Paul An efficient high-order time integration method for spectral-element discontinuous Galerkin simulations in electromagnetics. (English) Zbl 1296.78009 J. Sci. Comput. 57, No. 3, 582-603 (2013). Reviewer: Nina Shokina (Freiburg) MSC: 78M10 65M60 65F60 65F25 65F15 PDFBibTeX XMLCite \textit{M. Min} and \textit{P. Fischer}, J. Sci. Comput. 57, No. 3, 582--603 (2013; Zbl 1296.78009) Full Text: DOI
Benner, Peter; Mach, Thomas The preconditioned inverse iteration for hierarchical matrices. (English) Zbl 1289.65074 Numer. Linear Algebra Appl. 20, No. 1, 150-166 (2013). Reviewer: Sabine Le Borne (Hamburg) MSC: 65F15 65F08 15B48 65F50 65N30 65N38 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Mach}, Numer. Linear Algebra Appl. 20, No. 1, 150--166 (2013; Zbl 1289.65074) Full Text: DOI
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K. Efficient solution of large-scale saddle point systems arising in Riccati-based boundary feedback stabilization of incompressible Stokes flow. (English) Zbl 1290.76059 SIAM J. Sci. Comput. 35, No. 5, S150-S170 (2013). Reviewer: Romulus Militaru (Craiova) MSC: 76M10 76D07 76D55 65M20 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 35, No. 5, S150--S170 (2013; Zbl 1290.76059) Full Text: DOI Link
Willems, Joerg Spectral coarse spaces in robust two-level Schwarz methods. (English) Zbl 1275.65085 Iliev, Oleg P. (ed.) et al., Numerical solution of partial differential equations: Theory, algorithms, and their applications. Papers based on the international symposium, Sozopol, Bulgaria, June 7–8, 2013. In Honor of Professor Raytcho Lazarov’s 40 years of research in computational methods and applied mathematics and on the occasion of his 70th birthday. New York, NY: Springer (ISBN 978-1-4614-7171-4/hbk; 978-1-4614-7172-1/ebook). Springer Proceedings in Mathematics & Statistics 45, 303-326 (2013). MSC: 65N55 35J25 65-02 65F08 65N30 PDFBibTeX XMLCite \textit{J. Willems}, Springer Proc. Math. Stat. 45, 303--326 (2013; Zbl 1275.65085) Full Text: DOI
Scherer, Philipp O. J. Computational physics. Simulation of classical and quantum systems. 2nd ed. (English) Zbl 1303.82008 Graduate Texts in Physics. Cham: Springer (ISBN 978-3-319-00400-6/hbk; 978-3-319-00401-3/ebook). xviii, 454 p. (2013). Reviewer: Georg Hebermehl (Berlin) MSC: 82-02 65Z05 65-01 82-08 00A06 00A79 PDFBibTeX XMLCite \textit{P. O. J. Scherer}, Computational physics. Simulation of classical and quantum systems. 2nd ed. Cham: Springer (2013; Zbl 1303.82008) Full Text: DOI
Vannieuwenhoven, Nick; Meerbergen, Karl IMF: an incomplete multifrontal \(LU\)-factorization for element-structured sparse linear systems. (English) Zbl 1264.65039 SIAM J. Sci. Comput. 35, No. 1, A270-A293 (2013). MSC: 65F08 65F10 65N30 65F50 35Q30 76M10 PDFBibTeX XMLCite \textit{N. Vannieuwenhoven} and \textit{K. Meerbergen}, SIAM J. Sci. Comput. 35, No. 1, A270--A293 (2013; Zbl 1264.65039) 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
Schauer, Marco; Roman, Jose E.; Quintana-Ortí, Enrique S.; Langer, Sabine Parallel computation of 3-D soil-structure interaction in time domain with a coupled FEM/SBFEM approach. (English) Zbl 1311.74077 J. Sci. Comput. 52, No. 2, 446-467 (2012). MSC: 74L10 74S05 65L60 15A24 PDFBibTeX XMLCite \textit{M. Schauer} et al., J. Sci. Comput. 52, No. 2, 446--467 (2012; Zbl 1311.74077) Full Text: DOI Link
Chen, Qiang; Monk, Peter Introduction to applications of numerical analysis in time domain computational electromagnetism. (English) Zbl 1247.78037 Blowey, James (ed.) et al., Frontiers in numerical analysis – Durham 2010. Selected papers based on the presentations at the 12th LMS-EPSRC computational mathematics and scientific computing summer school, Durham, UK, July 25–31, 2010. Berlin: Springer (ISBN 978-3-642-23913-7/hbk; 978-3-642-23914-4/ebook). Lecture Notes in Computational Science and Engineering 85, 149-225 (2012). MSC: 78M10 65M12 78A50 78M20 35Q61 78A40 78M30 65M60 65R20 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{P. Monk}, Lect. Notes Comput. Sci. Eng. 85, 149--225 (2012; Zbl 1247.78037) Full Text: DOI
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo To CG or to HDG: A comparative study. (English) Zbl 1244.65174 J. Sci. Comput. 51, No. 1, 183-212 (2012). MSC: 65N30 65N12 65N55 35J05 PDFBibTeX XMLCite \textit{R. M. Kirby} et al., J. Sci. Comput. 51, No. 1, 183--212 (2012; Zbl 1244.65174) Full Text: DOI
Ratnani, Ahmed; Sonnendrücker, Eric An arbitrary high-order spline finite element solver for the time domain Maxwell equations. (English) Zbl 1247.78042 J. Sci. Comput. 51, No. 1, 87-106 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 78M30 65D07 PDFBibTeX XMLCite \textit{A. Ratnani} and \textit{E. Sonnendrücker}, J. Sci. Comput. 51, No. 1, 87--106 (2012; Zbl 1247.78042) Full Text: DOI HAL
Schillinger, Dominik; Rank, Ernst An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. (English) Zbl 1230.74197 Comput. Methods Appl. Mech. Eng. 200, No. 47-48, 3358-3380 (2011). MSC: 74S05 65D07 74B20 PDFBibTeX XMLCite \textit{D. Schillinger} and \textit{E. Rank}, Comput. Methods Appl. Mech. Eng. 200, No. 47--48, 3358--3380 (2011; Zbl 1230.74197) Full Text: DOI
Anzt, Hartwig; Heuveline, Vincent; Rocker, Björn An error correction solver for linear systems: evaluation of mixed precision implementations. (English) Zbl 1323.65025 Palma, José M. Laginha M. (ed.) et al., High performance computing for computational science – VECPAR 2010. 9th international conference, Berkeley, CA, USA, June 22–25, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-19327-9/pbk). Lecture Notes in Computer Science 6449, 58-70 (2011). MSC: 65F10 65F50 65Y10 76M10 PDFBibTeX XMLCite \textit{H. Anzt} et al., Lect. Notes Comput. Sci. 6449, 58--70 (2011; Zbl 1323.65025) Full Text: DOI Link
Barnett, A. H.; Betcke, T. An exponentially convergent nonpolynomial finite element method for time-harmonic scattering from polygons. (English) Zbl 1216.65151 SIAM J. Sci. Comput. 32, No. 3, 1417-1441 (2010). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 35J05 78A45 78M10 65N12 PDFBibTeX XMLCite \textit{A. H. Barnett} and \textit{T. Betcke}, SIAM J. Sci. Comput. 32, No. 3, 1417--1441 (2010; Zbl 1216.65151) Full Text: DOI Link
Castillo, Paul E. Stencil reduction algorithms for the local discontinuous Galerkin method. (English) Zbl 1183.76801 Int. J. Numer. Methods Eng. 81, No. 12, 1475-1491 (2010). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{P. E. Castillo}, Int. J. Numer. Methods Eng. 81, No. 12, 1475--1491 (2010; Zbl 1183.76801) Full Text: DOI
Brčić, Stanko; Žugić-Zornija, Ljiljana Simple and effective C++ matrix-vector library for nonprofessionals in computer science. (English) Zbl 1264.65229 Int. J. Comput. Methods 6, No. 1, 43-74 (2009). MSC: 65Y99 65-04 PDFBibTeX XMLCite \textit{S. Brčić} and \textit{L. Žugić-Zornija}, Int. J. Comput. Methods 6, No. 1, 43--74 (2009; Zbl 1264.65229) Full Text: DOI
Bonnet, G. A general regularization of the hypersingular integrals in the symmetric Galerkin boundary element method. (English) Zbl 1176.74204 Int. J. Numer. Methods Eng. 80, No. 8, 1110-1123 (2009). MSC: 74S15 74S05 74B05 PDFBibTeX XMLCite \textit{G. Bonnet}, Int. J. Numer. Methods Eng. 80, No. 8, 1110--1123 (2009; Zbl 1176.74204) Full Text: DOI Link
Geuzaine, Christophe; Remacle, Jean-François Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. (English) Zbl 1176.74181 Int. J. Numer. Methods Eng. 79, No. 11, 1309-1331 (2009). MSC: 74S05 76M10 65M50 65N50 PDFBibTeX XMLCite \textit{C. Geuzaine} and \textit{J.-F. Remacle}, Int. J. Numer. Methods Eng. 79, No. 11, 1309--1331 (2009; Zbl 1176.74181) Full Text: DOI HAL
Carley, Michael Numerical quadratures for near-singular and near-hypersingular integrals in boundary element methods. (English) Zbl 1168.65012 Math. Proc. R. Ir. Acad. 109A, No. 1, 49-60 (2009). MSC: 65D32 41A55 65N38 35J05 PDFBibTeX XMLCite \textit{M. Carley}, Math. Proc. R. Ir. Acad. 109A, No. 1, 49--60 (2009; Zbl 1168.65012) Full Text: DOI arXiv
Riker, Carsten; Holzer, Stefan M. The mixed-cell-complex partition-of-unity method. (English) Zbl 1157.65492 Comput. Methods Appl. Mech. Eng. 198, No. 13-14, 1235-1248 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{C. Riker} and \textit{S. M. Holzer}, Comput. Methods Appl. Mech. Eng. 198, No. 13--14, 1235--1248 (2009; Zbl 1157.65492) Full Text: DOI
Song, Chongmin The scaled boundary finite element method in structural dynamics. (English) Zbl 1156.74387 Int. J. Numer. Methods Eng. 77, No. 8, 1139-1171 (2009). MSC: 74S05 74S15 74H15 PDFBibTeX XMLCite \textit{C. Song}, Int. J. Numer. Methods Eng. 77, No. 8, 1139--1171 (2009; Zbl 1156.74387) Full Text: DOI
Pal, Srimanta Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001 Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009). Reviewer: Georg Hebermehl (Berlin) MSC: 65-01 65Fxx 65Lxx 65Mxx 65Nxx 65Yxx 65D05 65D07 65D30 65G50 65H04 65H05 65H10 92B20 97M50 00A06 65C05 65R20 PDFBibTeX XMLCite \textit{S. Pal}, Numerical methods. Principles, analysis and algorithms. Oxford: Oxford University Press (2009; Zbl 1196.65001)
Giannakis, Dimitrios; Fischer, Paul F.; Rosner, Robert A spectral Galerkin method for the coupled Orr-Sommerfeld and induction equations for free-surface MHD. (English) Zbl 1330.76055 J. Comput. Phys. 228, No. 4, 1188-1233 (2009). MSC: 76E25 76M10 76W05 65L60 76M25 PDFBibTeX XMLCite \textit{D. Giannakis} et al., J. Comput. Phys. 228, No. 4, 1188--1233 (2009; Zbl 1330.76055) Full Text: DOI arXiv
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N. The chebop system for automatic solution of differential equations. (English) Zbl 1162.65370 BIT 48, No. 4, 701-723 (2008). MSC: 65L10 34B05 68W30 65L60 35L15 34L16 PDFBibTeX XMLCite \textit{T. A. Driscoll} et al., BIT 48, No. 4, 701--723 (2008; Zbl 1162.65370) Full Text: DOI
Demkowicz, Leszek F.; Kurtz, Jason; Pardo, David; Paszyński, Maciej; Rachowicz, Waldemar; Zdunek, Adam Computing with \(hp\)-adaptive finite elements. Vol. II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications. (English) Zbl 1148.65001 Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-672-3/hbk; 978-1-4200-1169-2/ebook). xv, 417 p. (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 65-02 65N30 65N12 65N15 65N22 65N50 65Y05 78M10 74S05 76M10 78A46 PDFBibTeX XMLCite \textit{L. F. Demkowicz} et al., Computing with \(hp\)-adaptive finite elements. Vol. II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications. Boca Raton, FL: Chapman \& Hall/CRC (2008; Zbl 1148.65001) Full Text: DOI
Kaltenbacher, Barbara; Lahmer, Tom; Mohr, Marcus; Kaltenbacher, Manfred PDE based determination of piezoelectric material tensors. (English) Zbl 1123.74017 Eur. J. Appl. Math. 17, No. 4, 383-416 (2006). MSC: 74F15 74G75 74S05 PDFBibTeX XMLCite \textit{B. Kaltenbacher} et al., Eur. J. Appl. Math. 17, No. 4, 383--416 (2006; Zbl 1123.74017) Full Text: DOI
Gockenbach, Mark S. Understanding and implementing the finite element method. (English) Zbl 1105.65112 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-614-4/pbk). xvi, 363 p. (2006). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65-01 35J05 35J25 65F10 65F35 65N55 65N12 65N50 PDFBibTeX XMLCite \textit{M. S. Gockenbach}, Understanding and implementing the finite element method. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2006; Zbl 1105.65112)
Waisman, Haim; Fish, Jacob; Tuminaro, Raymond S.; Shadid, John N. Acceleration of the generalized global basis (GGB) method for nonlinear problems. (English) Zbl 1077.65121 J. Comput. Phys. 210, No. 1, 274-291 (2005). MSC: 65N30 65N55 35J65 74S05 76M10 65F10 PDFBibTeX XMLCite \textit{H. Waisman} et al., J. Comput. Phys. 210, No. 1, 274--291 (2005; Zbl 1077.65121) Full Text: DOI
Spyropoulos, A. N.; Palyvos, J. A.; Boudouvis, A. G. Bifurcation detection with the (un)preconditioned GMRES(m). (English) Zbl 1112.76395 Comput. Methods Appl. Mech. Eng. 193, No. 42-44, 4707-4716 (2004). MSC: 76M10 76E99 76W05 76D45 PDFBibTeX XMLCite \textit{A. N. Spyropoulos} et al., Comput. Methods Appl. Mech. Eng. 193, No. 42--44, 4707--4716 (2004; Zbl 1112.76395) Full Text: DOI
Masset, Luc; Debongnie, Jean-Francois Machining processes simulation: specific finite element aspects. (English) Zbl 1058.74080 J. Comput. Appl. Math. 168, No. 1-2, 309-320 (2004). MSC: 74S05 74M15 PDFBibTeX XMLCite \textit{L. Masset} and \textit{J.-F. Debongnie}, J. Comput. Appl. Math. 168, No. 1--2, 309--320 (2004; Zbl 1058.74080) Full Text: DOI
Dohrmann, Clark R. A preconditioner for substructuring based on constrained energy minimization. (English) Zbl 1038.65039 SIAM J. Sci. Comput. 25, No. 1, 246-258 (2003). MSC: 65F35 65F10 74S05 65N55 PDFBibTeX XMLCite \textit{C. R. Dohrmann}, SIAM J. Sci. Comput. 25, No. 1, 246--258 (2003; Zbl 1038.65039) Full Text: DOI
Heuveline, Vincent On the computation of a very large number of eigenvalues for selfadjoint elliptic operators by means of multigrid methods. (English) Zbl 1016.65080 J. Comput. Phys. 184, No. 1, 321-337 (2003). MSC: 65N25 35P15 65N30 65N55 81Q10 PDFBibTeX XMLCite \textit{V. Heuveline}, J. Comput. Phys. 184, No. 1, 321--337 (2003; Zbl 1016.65080) Full Text: DOI
Holstad, Astrid; Lie, Ivar Transparent boundary conditions for the shallow water equations with a mixed finite element formulation. (English) Zbl 1023.76021 Appl. Numer. Math. 44, No. 1-2, 109-138 (2003). MSC: 76M10 76B15 PDFBibTeX XMLCite \textit{A. Holstad} and \textit{I. Lie}, Appl. Numer. Math. 44, No. 1--2, 109--138 (2003; Zbl 1023.76021) Full Text: DOI
Christensen, Peter W. A semi-smooth Newton method for elasto-plastic contact problems. (English) Zbl 1033.74034 Int. J. Solids Struct. 39, No. 8, 2323-2341 (2002). MSC: 74M15 74M10 74S05 74C05 PDFBibTeX XMLCite \textit{P. W. Christensen}, Int. J. Solids Struct. 39, No. 8, 2323--2341 (2002; Zbl 1033.74034) Full Text: DOI
Sherwin, Spencer J.; Casarin, Mario Low-energy basis preconditioning for elliptic substructured solvers based on unstructured spectral/\(hp\) element discretization. (English) Zbl 0985.65143 J. Comput. Phys. 171, No. 1, 394-417 (2001). MSC: 65N30 35J25 65F35 PDFBibTeX XMLCite \textit{S. J. Sherwin} and \textit{M. Casarin}, J. Comput. Phys. 171, No. 1, 394--417 (2001; Zbl 0985.65143) Full Text: DOI
Brown, B. M.; Jimack, P. K.; Mihajlović, M. D. An efficient direct solver for a class of mixed finite element problems. (English) Zbl 0982.65119 Appl. Numer. Math. 38, No. 1-2, 1-20 (2001). MSC: 65N25 65N30 65Y05 65Y20 35J40 35P15 65F05 PDFBibTeX XMLCite \textit{B. M. Brown} et al., Appl. Numer. Math. 38, No. 1--2, 1--20 (2001; Zbl 0982.65119) Full Text: DOI
Maryska, J.; Rozlozník, M.; Tuma, M. Schur complement systems in the mixed-hybrid finite element approximation of the potential fluid flow problem. (English) Zbl 0978.76052 SIAM J. Sci. Comput. 22, No. 2, 704-723 (2000). Reviewer: A.Meister (Hamburg) MSC: 76M10 76S05 76B10 65F10 65F50 PDFBibTeX XMLCite \textit{J. Maryska} et al., SIAM J. Sci. Comput. 22, No. 2, 704--723 (2000; Zbl 0978.76052) Full Text: DOI
Sampath, Rajiv; Zabaras, Nicholas An object-oriented framework for the implementation of adjoint techniques in the design and control of complex continuum systems. (English) Zbl 0964.65105 Int. J. Numer. Methods Eng. 48, No. 2, 239-266 (2000). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65M60 68N19 PDFBibTeX XMLCite \textit{R. Sampath} and \textit{N. Zabaras}, Int. J. Numer. Methods Eng. 48, No. 2, 239--266 (2000; Zbl 0964.65105) Full Text: DOI
Morzyński, Marek; Afanasiev, Konstantin; Thiele, Frank Solution of the eigenvalue problems resulting from global non-parallel flow stability analysis. (English) Zbl 0959.76045 Comput. Methods Appl. Mech. Eng. 169, No. 1-2, 161-176 (1999). MSC: 76M10 76E09 PDFBibTeX XMLCite \textit{M. Morzyński} et al., Comput. Methods Appl. Mech. Eng. 169, No. 1--2, 161--176 (1999; Zbl 0959.76045) Full Text: DOI
Giraud, Luc; Tuminaro, Ray S. Schur complement preconditioners for anisotropic problems. (English) Zbl 0923.65085 IMA J. Numer. Anal. 19, No. 1, 1-18 (1999). Reviewer: A.L.Pletea (Iaşi) MSC: 65N55 35J25 65F10 65F35 65N30 PDFBibTeX XMLCite \textit{L. Giraud} and \textit{R. S. Tuminaro}, IMA J. Numer. Anal. 19, No. 1, 1--18 (1999; Zbl 0923.65085) Full Text: DOI Link
Shirron, Joseph J.; Babuška, Ivo A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems. (English) Zbl 0962.76055 Comput. Methods Appl. Mech. Eng. 164, No. 1-2, 121-139 (1998). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{J. J. Shirron} and \textit{I. Babuška}, Comput. Methods Appl. Mech. Eng. 164, No. 1--2, 121--139 (1998; Zbl 0962.76055) Full Text: DOI
Janik, Tadeusz J. Parallel implementation of the \(p\)-version of the finite element method for elliptic equations on a shared-memory architecture. (English) Zbl 0893.65057 Adv. Comput. Math. 8, No. 1-2, 97-110 (1998). Reviewer: W.Schönauer (Karlsruhe) MSC: 65N30 65Y05 65N55 35J25 PDFBibTeX XMLCite \textit{T. J. Janik}, Adv. Comput. Math. 8, No. 1--2, 97--110 (1998; Zbl 0893.65057) Full Text: DOI
Swann, Howard Error estimates using the cell discretization method for steady-state convection-diffusion equations. (English) Zbl 0888.65114 J. Comput. Appl. Math. 82, No. 1-2, 389-405 (1997). Reviewer: A.Meister (Hamburg) MSC: 65N15 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{H. Swann}, J. Comput. Appl. Math. 82, No. 1--2, 389--405 (1997; Zbl 0888.65114) Full Text: DOI
Carvalho, L.; Giraud, L.; Duff, I. S. Linear algebra kernels for parallel domain decomposition methods. (English) Zbl 0977.65114 Papadrakakis, M. (ed.) et al., Advanced computational methods in structural mechanics. Workshop Advanced finite element solution procedures on innovative computer architectures, Barcelona, Spain, April 6-7, 1995. Barcelona: CIMNE. 1-17 (1996). MSC: 65N55 65F10 65F05 65N30 65F35 35J25 76S05 PDFBibTeX XMLCite \textit{L. Carvalho} et al., in: Advanced computational methods in structural mechanics. Workshop Advanced finite element solution procedures on innovative computer architectures, Barcelona, Spain, April 6--7, 1995. Barcelona: CIMNE. 1--17 (1996; Zbl 0977.65114)
Wolf, John P.; Song, Chongmin Finite-element modelling of unbounded media. (English) Zbl 0879.73002 Chichester: Wiley. xvii, 331 p. (1996). Reviewer: J.C.F.Telles (Rio de Janeiro) MSC: 74-02 74S05 74J10 PDFBibTeX XMLCite \textit{J. P. Wolf} and \textit{C. Song}, Finite-element modelling of unbounded media. Chichester: Wiley (1996; Zbl 0879.73002)
Cayco, Maria; Foster, Leslie; Swann, Howard On the convergence rate of the cell discretization algorithm for solving elliptic problems. (English) Zbl 0851.65076 Math. Comput. 64, No. 212, 1397-1419 (1995). Reviewer: T.Roubíček (Praha) MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{M. Cayco} et al., Math. Comput. 64, No. 212, 1397--1419 (1995; Zbl 0851.65076) Full Text: DOI
Babuška, I.; Elman, H. C.; Markley, K. Parallel implementation of the \(hp\)-version of the finite element method on a shared-memory architecture. (English) Zbl 0765.65101 SIAM J. Sci. Stat. Comput. 13, No. 6, 1433-1459 (1992). Reviewer: M.Plum (Clausthal-Zellerfeld) MSC: 65N30 65Y05 65N55 35J25 PDFBibTeX XMLCite \textit{I. Babuška} et al., SIAM J. Sci. Stat. Comput. 13, No. 6, 1433--1459 (1992; Zbl 0765.65101) Full Text: DOI