Chetry, Manisha; Borzacchiello, Domenico; Lestandi, Lucas; Rocha Da Silva, Luisa An iterative multi-fidelity approach for model order reduction of multidimensional input parametric PDE systems. (English) Zbl 07772337 Int. J. Numer. Methods Eng. 124, No. 22, 4941-4962 (2023). MSC: 65Nxx 65Cxx 65Mxx PDFBibTeX XMLCite \textit{M. Chetry} et al., Int. J. Numer. Methods Eng. 124, No. 22, 4941--4962 (2023; Zbl 07772337) Full Text: DOI arXiv
Diercks, Philipp; Veroy, Karen; Robens-Radermacher, Annika; Unger, Jörg F. Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction. (English) Zbl 07772324 Int. J. Numer. Methods Eng. 124, No. 20, 4580-4602 (2023). MSC: 65Nxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{P. Diercks} et al., Int. J. Numer. Methods Eng. 124, No. 20, 4580--4602 (2023; Zbl 07772324) Full Text: DOI arXiv OA License
Goutaudier, Dimitri; Nobile, Fabio; Schiffmann, Jürg A new method to interpolate POD reduced bases-application to the parametric model order reduction of a gas bearings supported rotor. (English) Zbl 07772304 Int. J. Numer. Methods Eng. 124, No. 18, 4141-4170 (2023). MSC: 65M99 65N06 65L60 65D05 65D32 76N15 PDFBibTeX XMLCite \textit{D. Goutaudier} et al., Int. J. Numer. Methods Eng. 124, No. 18, 4141--4170 (2023; Zbl 07772304) Full Text: DOI OA License
Discacciati, Niccolò; Hesthaven, Jan S. Localized model order reduction and domain decomposition methods for coupled heterogeneous systems. (English) Zbl 07772297 Int. J. Numer. Methods Eng. 124, No. 18, 3964-3996 (2023). MSC: 65Mxx 65Nxx 35Kxx PDFBibTeX XMLCite \textit{N. Discacciati} and \textit{J. S. Hesthaven}, Int. J. Numer. Methods Eng. 124, No. 18, 3964--3996 (2023; Zbl 07772297) Full Text: DOI OA License
Fu, R.; Xiao, D.; Navon, I. M.; Fang, F.; Yang, L.; Wang, C.; Cheng, S. A non-linear non-intrusive reduced order model of fluid flow by auto-encoder and self-attention deep learning methods. (English) Zbl 1524.76277 Int. J. Numer. Methods Eng. 124, No. 13, 3087-3111 (2023). MSC: 76M22 PDFBibTeX XMLCite \textit{R. Fu} et al., Int. J. Numer. Methods Eng. 124, No. 13, 3087--3111 (2023; Zbl 1524.76277) Full Text: DOI
Xu, Hui; Liu, Bin Hierarchical subspace evolution method for super large parallel computing: a linear solver and an eigensolver as examples. (English) Zbl 07769198 Int. J. Numer. Methods Eng. 124, No. 1, 5-39 (2023). MSC: 65Fxx 65Nxx 65Yxx PDFBibTeX XMLCite \textit{H. Xu} and \textit{B. Liu}, Int. J. Numer. Methods Eng. 124, No. 1, 5--39 (2023; Zbl 07769198) Full Text: DOI
Anderson, Spenser; White, Cristina; Farhat, Charbel Space-local reduced-order bases for accelerating reduced-order models through sparsity. (English) Zbl 07769172 Int. J. Numer. Methods Eng. 124, No. 7, 1646-1671 (2023). MSC: 65Fxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{S. Anderson} et al., Int. J. Numer. Methods Eng. 124, No. 7, 1646--1671 (2023; Zbl 07769172) Full Text: DOI
Lindsay, Payton; Fike, Jeffrey; Tezaur, Irina; Carlberg, Kevin Preconditioned least-squares Petrov-Galerkin reduced order models. (English) Zbl 07769311 Int. J. Numer. Methods Eng. 123, No. 20, 4809-4843 (2022). MSC: 65Fxx 65Mxx 65Lxx PDFBibTeX XMLCite \textit{P. Lindsay} et al., Int. J. Numer. Methods Eng. 123, No. 20, 4809--4843 (2022; Zbl 07769311) Full Text: DOI arXiv
Fresca, Stefania; Gobat, Giorgio; Fedeli, Patrick; Frangi, Attilio; Manzoni, Andrea Deep learning-based reduced order models for the real-time simulation of the nonlinear dynamics of microstructures. (English) Zbl 07769309 Int. J. Numer. Methods Eng. 123, No. 20, 4749-4777 (2022). MSC: 68T07 65M06 94A08 PDFBibTeX XMLCite \textit{S. Fresca} et al., Int. J. Numer. Methods Eng. 123, No. 20, 4749--4777 (2022; Zbl 07769309) Full Text: DOI arXiv OA License
Halder, Rakesh; Fidkowski, Krzysztof J.; Maki, Kevin J. Non-intrusive reduced-order modeling using convolutional autoencoders. (English) Zbl 07769279 Int. J. Numer. Methods Eng. 123, No. 21, 5369-5390 (2022). MSC: 76Dxx 65Fxx 65Mxx PDFBibTeX XMLCite \textit{R. Halder} et al., Int. J. Numer. Methods Eng. 123, No. 21, 5369--5390 (2022; Zbl 07769279) Full Text: DOI arXiv OA License
Berthelin, Gaspard; Dubreuil, Sylvain; Salaün, Michel; Bartoli, Nathalie; Gogu, Christian Disciplinary proper orthogonal decomposition and interpolation for the resolution of Parameterized multidisciplinary analysis. (English) Zbl 07768044 Int. J. Numer. Methods Eng. 123, No. 15, 3594-3626 (2022). MSC: 65Lxx 65Nxx 65Mxx PDFBibTeX XMLCite \textit{G. Berthelin} et al., Int. J. Numer. Methods Eng. 123, No. 15, 3594--3626 (2022; Zbl 07768044) Full Text: DOI
Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso An adaptive projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems. (English) Zbl 07767890 Int. J. Numer. Methods Eng. 123, No. 12, 2894-2918 (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{A. Iollo} et al., Int. J. Numer. Methods Eng. 123, No. 12, 2894--2918 (2022; Zbl 07767890) Full Text: DOI arXiv
Krysl, Petr; Sivapuram, Raghavendra Harmonic vibration analysis with coherent-nodal-cluster two-stage model reduction. (English) Zbl 07767232 Int. J. Numer. Methods Eng. 123, No. 6, 1410-1431 (2022). MSC: 65Nxx 65Fxx 74Hxx PDFBibTeX XMLCite \textit{P. Krysl} and \textit{R. Sivapuram}, Int. J. Numer. Methods Eng. 123, No. 6, 1410--1431 (2022; Zbl 07767232) Full Text: DOI
Palacio-Betancur, Viviana; Villada-Gil, Stiven; de Pablo, Juan J.; Hernández-Ortiz, Juan P. Educating local radial basis functions using the highest gradient of interest in three dimensional geometries. (English) Zbl 1365.41002 Int. J. Numer. Methods Eng. 110, No. 7, 603-617 (2017). MSC: 41A05 35Q56 65N99 82D55 35A35 PDFBibTeX XMLCite \textit{V. Palacio-Betancur} et al., Int. J. Numer. Methods Eng. 110, No. 7, 603--617 (2017; Zbl 1365.41002) Full Text: DOI
Dunning, Peter D.; Ovtchinnikov, Evgueni; Scott, Jennifer; Kim, H. Alicia Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver. (English) Zbl 1352.74237 Int. J. Numer. Methods Eng. 107, No. 12, 1029-1053 (2016). MSC: 74P15 65F15 74S30 74G65 PDFBibTeX XMLCite \textit{P. D. Dunning} et al., Int. J. Numer. Methods Eng. 107, No. 12, 1029--1053 (2016; Zbl 1352.74237) Full Text: DOI Link
Fritzen, Felix; Hodapp, Max The finite element square reduced (\(FE^{2R}\)) method with GPU acceleration: towards three-dimensional two-scale simulations. (English) Zbl 1352.74352 Int. J. Numer. Methods Eng. 107, No. 10, 853-881 (2016). MSC: 74S05 65N30 65Y10 74M25 PDFBibTeX XMLCite \textit{F. Fritzen} and \textit{M. Hodapp}, Int. J. Numer. Methods Eng. 107, No. 10, 853--881 (2016; Zbl 1352.74352) Full Text: DOI
Radermacher, Annika; Reese, Stefanie POD-based model reduction with empirical interpolation applied to nonlinear elasticity. (English) Zbl 1352.74048 Int. J. Numer. Methods Eng. 107, No. 6, 477-495 (2016). MSC: 74B20 74S05 65M60 PDFBibTeX XMLCite \textit{A. Radermacher} and \textit{S. Reese}, Int. J. Numer. Methods Eng. 107, No. 6, 477--495 (2016; Zbl 1352.74048) Full Text: DOI
Tabak, Umut; Rixen, Daniel J. Vibro-Lanczos, a symmetric Lanczos solver for vibro-acoustic simulations. (English) Zbl 1352.74138 Int. J. Numer. Methods Eng. 107, No. 4, 290-311 (2016). MSC: 74H45 65F15 65N25 PDFBibTeX XMLCite \textit{U. Tabak} and \textit{D. J. Rixen}, Int. J. Numer. Methods Eng. 107, No. 4, 290--311 (2016; Zbl 1352.74138) Full Text: DOI
Nigro, P. S. B.; Anndif, M.; Teixeira, Y.; Pimenta, P. M.; Wriggers, P. An adaptive model order reduction with quasi-Newton method for nonlinear dynamical problems. (English) Zbl 1352.65184 Int. J. Numer. Methods Eng. 106, No. 9, 740-759 (2016). MSC: 65L05 PDFBibTeX XMLCite \textit{P. S. B. Nigro} et al., Int. J. Numer. Methods Eng. 106, No. 9, 740--759 (2016; Zbl 1352.65184) Full Text: DOI
Balajewicz, Maciej; Amsallem, David; Farhat, Charbel Projection-based model reduction for contact problems. (English) Zbl 1352.74196 Int. J. Numer. Methods Eng. 106, No. 8, 644-663 (2016). MSC: 74M15 74S05 65M60 PDFBibTeX XMLCite \textit{M. Balajewicz} et al., Int. J. Numer. Methods Eng. 106, No. 8, 644--663 (2016; Zbl 1352.74196) Full Text: DOI arXiv
Peng, Liqian; Mohseni, Kamran Nonlinear model reduction via a locally weighted POD method. (English) Zbl 1352.65535 Int. J. Numer. Methods Eng. 106, No. 5, 372-396 (2016). MSC: 65N30 65M06 65M60 65N06 PDFBibTeX XMLCite \textit{L. Peng} and \textit{K. Mohseni}, Int. J. Numer. Methods Eng. 106, No. 5, 372--396 (2016; Zbl 1352.65535) Full Text: DOI
Lu, Ding; Huang, Xin; Bai, Zhaojun; Su, Yangfeng A Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping. (English) Zbl 1352.65120 Int. J. Numer. Methods Eng. 103, No. 11, 840-858 (2015). MSC: 65F15 65L15 PDFBibTeX XMLCite \textit{D. Lu} et al., Int. J. Numer. Methods Eng. 103, No. 11, 840--858 (2015; Zbl 1352.65120) Full Text: DOI
Néron, David; Boucard, Pierre-Alain; Relun, Nicolas Time-space PGD for the rapid solution of 3D nonlinear parametrized problems in the many-query context. (English) Zbl 1352.74075 Int. J. Numer. Methods Eng. 103, No. 4, 275-292 (2015). MSC: 74D10 74S30 65M99 PDFBibTeX XMLCite \textit{D. Néron} et al., Int. J. Numer. Methods Eng. 103, No. 4, 275--292 (2015; Zbl 1352.74075) Full Text: DOI
Wu, Yuqi; Hetmaniuk, Ulrich Adaptive training of local reduced bases for unsteady incompressible Navier-Stokes flows. (English) Zbl 1352.76070 Int. J. Numer. Methods Eng. 103, No. 3, 183-204 (2015). MSC: 76M10 76D05 65M60 65M50 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{U. Hetmaniuk}, Int. J. Numer. Methods Eng. 103, No. 3, 183--204 (2015; Zbl 1352.76070) Full Text: DOI
He, Jiajun; Durlofsky, L. J. Constraint reduction procedures for reduced-order subsurface flow models based on POD-TPWL. (English) Zbl 1352.76112 Int. J. Numer. Methods Eng. 103, No. 1, 1-30 (2015). MSC: 76S05 PDFBibTeX XMLCite \textit{J. He} and \textit{L. J. Durlofsky}, Int. J. Numer. Methods Eng. 103, No. 1, 1--30 (2015; Zbl 1352.76112) Full Text: DOI
Paul-Dubois-Taine, A.; Amsallem, D. An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models. (English) Zbl 1352.65217 Int. J. Numer. Methods Eng. 102, No. 5, 1262-1292 (2015). MSC: 65L99 PDFBibTeX XMLCite \textit{A. Paul-Dubois-Taine} and \textit{D. Amsallem}, Int. J. Numer. Methods Eng. 102, No. 5, 1262--1292 (2015; Zbl 1352.65217) Full Text: DOI
Chen, Jiun-Shyan; Marodon, Camille; Hu, Hsin-Yun Model order reduction for meshfree solution of Poisson singularity problems. (English) Zbl 1352.65561 Int. J. Numer. Methods Eng. 102, No. 5, 1211-1237 (2015). MSC: 65N35 65N80 PDFBibTeX XMLCite \textit{J.-S. Chen} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1211--1237 (2015; Zbl 1352.65561) Full Text: DOI
Carlberg, Kevin Adaptive \(h\)-refinement for reduced-order models. (English) Zbl 1352.65136 Int. J. Numer. Methods Eng. 102, No. 5, 1192-1210 (2015). MSC: 65F99 35Q53 PDFBibTeX XMLCite \textit{K. Carlberg}, Int. J. Numer. Methods Eng. 102, No. 5, 1192--1210 (2015; Zbl 1352.65136) Full Text: DOI arXiv
Zahr, Matthew J.; Farhat, Charbel Progressive construction of a parametric reduced-order model for PDE-constrained optimization. (English) Zbl 1352.49029 Int. J. Numer. Methods Eng. 102, No. 5, 1111-1135 (2015). MSC: 49M25 65N30 PDFBibTeX XMLCite \textit{M. J. Zahr} and \textit{C. Farhat}, Int. J. Numer. Methods Eng. 102, No. 5, 1111--1135 (2015; Zbl 1352.49029) Full Text: DOI arXiv
Farhat, Charbel; Chapman, Todd; Avery, Philip Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models. (English) Zbl 1352.74349 Int. J. Numer. Methods Eng. 102, No. 5, 1077-1110 (2015). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{C. Farhat} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1077--1110 (2015; Zbl 1352.74349) Full Text: DOI
Kaulmann, S.; Flemisch, B.; Haasdonk, B.; Lie, K.-a.; Ohlberger, M. The localized reduced basis multiscale method for two-phase flows in porous media. (English) Zbl 1352.76057 Int. J. Numer. Methods Eng. 102, No. 5, 1018-1040 (2015). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{S. Kaulmann} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1018--1040 (2015; Zbl 1352.76057) Full Text: DOI arXiv
Cui, Tiangang; Marzouk, Youssef M.; Willcox, Karen E. Data-driven model reduction for the Bayesian solution of inverse problems. (English) Zbl 1352.65445 Int. J. Numer. Methods Eng. 102, No. 5, 966-990 (2015). MSC: 65N21 65C05 PDFBibTeX XMLCite \textit{T. Cui} et al., Int. J. Numer. Methods Eng. 102, No. 5, 966--990 (2015; Zbl 1352.65445) Full Text: DOI arXiv
Suzuki, A.; Roux, F.-X. A dissection solver with kernel detection for symmetric finite element matrices on shared memory computers. (English) Zbl 1352.65457 Int. J. Numer. Methods Eng. 100, No. 2, 136-164 (2014). MSC: 65N22 65N30 65N55 65Y10 PDFBibTeX XMLCite \textit{A. Suzuki} and \textit{F. X. Roux}, Int. J. Numer. Methods Eng. 100, No. 2, 136--164 (2014; Zbl 1352.65457) Full Text: DOI Link
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
Kerfriden, P.; Ródenas, J. J.; Bordas, S. P.-A. Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. (English) Zbl 1352.74265 Int. J. Numer. Methods Eng. 97, No. 6, 395-422 (2014). MSC: 74Q05 74S05 65N30 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Int. J. Numer. Methods Eng. 97, No. 6, 395--422 (2014; Zbl 1352.74265) Full Text: DOI arXiv Link
Lee, Chung-Hao; Chen, Jiun-Shyan Proper orthogonal decomposition-based model order reduction via radial basis functions for molecular dynamics systems. (English) Zbl 1352.65182 Int. J. Numer. Methods Eng. 96, No. 10, 599-627 (2013). MSC: 65L05 74A25 PDFBibTeX XMLCite \textit{C.-H. Lee} and \textit{J.-S. Chen}, Int. J. Numer. Methods Eng. 96, No. 10, 599--627 (2013; Zbl 1352.65182) Full Text: DOI
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
Niroomandi, Siamak; Alfaro, Icíar; González, David; Cueto, Elías; Chinesta, Francisco Model order reduction in hyperelasticity: a proper generalized decomposition approach. (English) Zbl 1352.74417 Int. J. Numer. Methods Eng. 96, No. 3, 129-149 (2013). MSC: 74S05 65N30 74B05 92C50 PDFBibTeX XMLCite \textit{S. Niroomandi} et al., Int. J. Numer. Methods Eng. 96, No. 3, 129--149 (2013; Zbl 1352.74417) Full Text: DOI
Son, Nguyen Thanh A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds. (English) Zbl 1352.93032 Int. J. Numer. Methods Eng. 93, No. 8, 818-833 (2013). MSC: 93B11 65P99 37N35 PDFBibTeX XMLCite \textit{N. T. Son}, Int. J. Numer. Methods Eng. 93, No. 8, 818--833 (2013; Zbl 1352.93032) Full Text: DOI
Amsallem, David; Zahr, Matthew J.; Farhat, Charbel Nonlinear model order reduction based on local reduced-order bases. (English) Zbl 1352.65212 Int. J. Numer. Methods Eng. 92, No. 10, 891-916 (2012). MSC: 65L99 PDFBibTeX XMLCite \textit{D. Amsallem} et al., Int. J. Numer. Methods Eng. 92, No. 10, 891--916 (2012; Zbl 1352.65212) Full Text: DOI
Van Beeumen, R.; Van Nimmen, K.; Lombaert, G.; Meerbergen, K. Model reduction for dynamical systems with quadratic output. (English) Zbl 1246.74024 Int. J. Numer. Methods Eng. 91, No. 3, 229-248 (2012). MSC: 74H15 74H45 PDFBibTeX XMLCite \textit{R. Van Beeumen} et al., Int. J. Numer. Methods Eng. 91, No. 3, 229--248 (2012; Zbl 1246.74024) Full Text: DOI
Eftang, Jens L.; Stamm, Benjamin Parameter multi-domain ‘\(hp\)’ empirical interpolation. (English) Zbl 1242.65255 Int. J. Numer. Methods Eng. 90, No. 4, 412-428 (2012). MSC: 65N50 65M50 PDFBibTeX XMLCite \textit{J. L. Eftang} and \textit{B. Stamm}, Int. J. Numer. Methods Eng. 90, No. 4, 412--428 (2012; Zbl 1242.65255) Full Text: DOI
Yue, Yao; Meerbergen, Karl Using Krylov-Padé model order reduction for accelerating design optimization of structures and vibrations in the frequency domain. (English) Zbl 1242.74222 Int. J. Numer. Methods Eng. 90, No. 10, 1207-1232 (2012). MSC: 74S30 74P10 74H45 PDFBibTeX XMLCite \textit{Y. Yue} and \textit{K. Meerbergen}, Int. J. Numer. Methods Eng. 90, No. 10, 1207--1232 (2012; Zbl 1242.74222) Full Text: DOI
Kerfriden, P.; Passieux, J. C.; Bordas, S. P. A. Local/global model order reduction strategy for the simulation of quasi-brittle fracture. (English) Zbl 1242.74130 Int. J. Numer. Methods Eng. 89, No. 2, 154-179 (2012). MSC: 74S05 74S20 74R05 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Int. J. Numer. Methods Eng. 89, No. 2, 154--179 (2012; Zbl 1242.74130) Full Text: DOI arXiv
Martinez-Agirre, M.; Elejabarrieta, M. J. Higher-order eigensensitivities-based numerical method for the harmonic analysis of viscoelastically damped structures. (English) Zbl 1242.74030 Int. J. Numer. Methods Eng. 88, No. 12, 1280-1296 (2011). MSC: 74H15 74H45 74K10 74D05 PDFBibTeX XMLCite \textit{M. Martinez-Agirre} and \textit{M. J. Elejabarrieta}, Int. J. Numer. Methods Eng. 88, No. 12, 1280--1296 (2011; Zbl 1242.74030) Full Text: DOI
Stanford, Bret K.; Beran, Philip S. Cost reduction techniques for the design of nonlinear flapping wing structures. (English) Zbl 1242.74069 Int. J. Numer. Methods Eng. 88, No. 6, 533-555 (2011). MSC: 74P10 74F10 74S25 PDFBibTeX XMLCite \textit{B. K. Stanford} and \textit{P. S. Beran}, Int. J. Numer. Methods Eng. 88, No. 6, 533--555 (2011; Zbl 1242.74069) Full Text: DOI
Carlberg, Kevin; Farhat, Charbel A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. (English) Zbl 1235.74352 Int. J. Numer. Methods Eng. 86, No. 3, 381-402 (2011). MSC: 74S30 74F10 PDFBibTeX XMLCite \textit{K. Carlberg} and \textit{C. Farhat}, Int. J. Numer. Methods Eng. 86, No. 3, 381--402 (2011; Zbl 1235.74352) Full Text: DOI
Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. Polygonal finite elements for topology optimization: a unifying paradigm. (English) Zbl 1188.74072 Int. J. Numer. Methods Eng. 82, No. 6, 671-698 (2010). MSC: 74S05 74P15 65K10 PDFBibTeX XMLCite \textit{C. Talischi} et al., Int. J. Numer. Methods Eng. 82, No. 6, 671--698 (2010; Zbl 1188.74072) Full Text: DOI
Boyle, Jonathan; Mihajlovi, Milan; Scott, Jennifer HSL_MI20: an efficient AMG preconditioner for finite element problems in 3D. (English) Zbl 1183.76799 Int. J. Numer. Methods Eng. 82, No. 1, 64-98 (2010). MSC: 76M10 76R99 65F10 65F50 PDFBibTeX XMLCite \textit{J. Boyle} et al., Int. J. Numer. Methods Eng. 82, No. 1, 64--98 (2010; Zbl 1183.76799) Full Text: DOI
Audouze, C.; De Vuyst, F.; Nair, P. B. Reduced-order modeling of parameterized PDEs using time-space-parameter principal component analysis. (English) Zbl 1176.76059 Int. J. Numer. Methods Eng. 80, No. 8, 1025-1057 (2009). MSC: 76M10 76M12 76R99 PDFBibTeX XMLCite \textit{C. Audouze} et al., Int. J. Numer. Methods Eng. 80, No. 8, 1025--1057 (2009; Zbl 1176.76059) Full Text: DOI
Ruess, M.; Pahl, P. J. An extended QR-solver for large profiled matrices. (English) Zbl 1176.74080 Int. J. Numer. Methods Eng. 79, No. 11, 1419-1442 (2009). MSC: 74H15 74H45 65F15 PDFBibTeX XMLCite \textit{M. Ruess} and \textit{P. J. Pahl}, Int. J. Numer. Methods Eng. 79, No. 11, 1419--1442 (2009; Zbl 1176.74080) Full Text: DOI
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
Avery, P.; Farhat, C.; Hetmaniuk, U. A Padé-based factorization-free algorithm for identifying the eigenvalues missed by a generalized symmetric eigensolver. (English) Zbl 1171.74462 Int. J. Numer. Methods Eng. 79, No. 2, 239-252 (2009). MSC: 74S30 74H15 74H45 PDFBibTeX XMLCite \textit{P. Avery} et al., Int. J. Numer. Methods Eng. 79, No. 2, 239--252 (2009; Zbl 1171.74462) Full Text: DOI
Papanicolopulos, S.-A.; Zervos, A.; Vardoulakis, I. A three-dimensional \(C^1\) finite element for gradient elasticity. (English) Zbl 1156.74382 Int. J. Numer. Methods Eng. 77, No. 10, 1396-1415 (2009). MSC: 74S05 74B99 PDFBibTeX XMLCite \textit{S. A. Papanicolopulos} et al., Int. J. Numer. Methods Eng. 77, No. 10, 1396--1415 (2009; Zbl 1156.74382) Full Text: DOI
Cardoso, M. A.; Durlofsky, L. J.; Sarma, P. Development and application of reduced-order modeling procedures for subsurface flow simulation. (English) Zbl 1156.76420 Int. J. Numer. Methods Eng. 77, No. 9, 1322-1350 (2009). MSC: 76M25 76S05 86A05 PDFBibTeX XMLCite \textit{M. A. Cardoso} et al., Int. J. Numer. Methods Eng. 77, No. 9, 1322--1350 (2009; Zbl 1156.76420) Full Text: DOI
Neto, Maria Augusta; Ambrósio, Jorge A. C.; Leal, Rogério Pereira Sensitivity analysis of flexible multibody systems using composite materials components. (English) Zbl 1155.74389 Int. J. Numer. Methods Eng. 77, No. 3, 386-413 (2009). MSC: 74P10 74E30 PDFBibTeX XMLCite \textit{M. A. Neto} et al., Int. J. Numer. Methods Eng. 77, No. 3, 386--413 (2009; Zbl 1155.74389) Full Text: DOI Link
Ko, Jin Hwan; Bai, Zhaojun High-frequency response analysis via algebraic substructuring. (English) Zbl 1195.74074 Int. J. Numer. Methods Eng. 76, No. 3, 295-313 (2008). MSC: 74H45 74H15 PDFBibTeX XMLCite \textit{J. H. Ko} and \textit{Z. Bai}, Int. J. Numer. Methods Eng. 76, No. 3, 295--313 (2008; Zbl 1195.74074) Full Text: DOI
Meerbergen, K. Fast frequency response computation for Rayleigh damping. (English) Zbl 1195.74066 Int. J. Numer. Methods Eng. 73, No. 1, 96-106 (2008). MSC: 74H15 74H45 70J50 PDFBibTeX XMLCite \textit{K. Meerbergen}, Int. J. Numer. Methods Eng. 73, No. 1, 96--106 (2008; Zbl 1195.74066) Full Text: DOI Link
Fachinotti, Víctor D.; Cardona, Alberto A fixed-mesh Eulerian-Lagrangian approach for stress analysis in continuous casting. (English) Zbl 1194.74391 Int. J. Numer. Methods Eng. 70, No. 6, 728-755 (2007). MSC: 74S05 74F05 74C05 80A22 PDFBibTeX XMLCite \textit{V. D. Fachinotti} and \textit{A. Cardona}, Int. J. Numer. Methods Eng. 70, No. 6, 728--755 (2007; Zbl 1194.74391) Full Text: DOI
Song, Chongmin; Bazyar, Mohammad Hossein A boundary condition in Padé series for frequency-domain solution of wave propagation in unbounded domains. (English) Zbl 1194.74504 Int. J. Numer. Methods Eng. 69, No. 11, 2330-2358 (2007). MSC: 74S15 74S05 74J10 PDFBibTeX XMLCite \textit{C. Song} and \textit{M. H. Bazyar}, Int. J. Numer. Methods Eng. 69, No. 11, 2330--2358 (2007; Zbl 1194.74504) Full Text: DOI
Kim, Chang-Wan; Bennighof, J. K. Fast frequency response analysis of large-scale structures with non-proportional damping. (English) Zbl 1194.74139 Int. J. Numer. Methods Eng. 69, No. 5, 978-992 (2007). MSC: 74H45 74S05 PDFBibTeX XMLCite \textit{C.-W. Kim} and \textit{J. K. Bennighof}, Int. J. Numer. Methods Eng. 69, No. 5, 978--992 (2007; Zbl 1194.74139) Full Text: DOI
García, V. M.; Vidal, A.; Boria, V. E.; Vidal, A. M. Efficient and accurate waveguide mode computation using BI-RME and Lanczos methods. (English) Zbl 1174.78303 Int. J. Numer. Methods Eng. 65, No. 11, 1773-1788 (2006). MSC: 78A50 78M05 78A40 65F15 PDFBibTeX XMLCite \textit{V. M. García} et al., Int. J. Numer. Methods Eng. 65, No. 11, 1773--1788 (2006; Zbl 1174.78303) Full Text: DOI
Bindel, David S.; Govindjee, Sanjay Elastic PML for resonator anchor loss simulation. (English) Zbl 1182.74129 Int. J. Numer. Methods Eng. 64, No. 6, 789-818 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 74J10 74H15 PDFBibTeX XMLCite \textit{D. S. Bindel} and \textit{S. Govindjee}, Int. J. Numer. Methods Eng. 64, No. 6, 789--818 (2005; Zbl 1182.74129) Full Text: DOI
Bergamaschi, L.; Pini, G.; Sartoretto, F. Parallel eigenanalysis of multiaquifer systems. (English) Zbl 1134.76377 Int. J. Numer. Methods Eng. 63, No. 15, 2069-2085 (2005). MSC: 76M10 76S05 65Y05 86A05 PDFBibTeX XMLCite \textit{L. Bergamaschi} et al., Int. J. Numer. Methods Eng. 63, No. 15, 2069--2085 (2005; Zbl 1134.76377) Full Text: DOI
Onishi, Y.; Urago, M.; Amaya, K.; Aoki, S. Efficient dynamic finite element method for 3D objects with uniform cross-section. (English) Zbl 1138.74399 Int. J. Numer. Methods Eng. 63, No. 13, 1898-1910 (2005). MSC: 74S05 74H15 PDFBibTeX XMLCite \textit{Y. Onishi} et al., Int. J. Numer. Methods Eng. 63, No. 13, 1898--1910 (2005; Zbl 1138.74399) Full Text: DOI
Arbenz, Peter; Hetmaniuk, Ulrich L.; Lehoucq, Richard B.; Tuminaro, Raymond S. A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods. (English) Zbl 1093.74021 Int. J. Numer. Methods Eng. 64, No. 2, 204-236 (2005). MSC: 74H15 74H45 65F15 PDFBibTeX XMLCite \textit{P. Arbenz} et al., Int. J. Numer. Methods Eng. 64, No. 2, 204--236 (2005; Zbl 1093.74021) Full Text: DOI
Duff, I. S.; Giraud, L.; Langou, J.; Martin, E. Using spectral low rank preconditioners for large electromagnetic calculations. (English) Zbl 1082.78012 Int. J. Numer. Methods Eng. 62, No. 3, 416-434 (2005). MSC: 78M25 78A46 65F10 65F15 65Y05 PDFBibTeX XMLCite \textit{I. S. Duff} et al., Int. J. Numer. Methods Eng. 62, No. 3, 416--434 (2005; Zbl 1082.78012) Full Text: DOI Link
Kanapady, R.; Tamma, K. K. A-scalability and an integrated computational technology and framework for nonlinear structural dynamics. I: Theoretical developments and parallel formulations. (English) Zbl 1047.74021 Int. J. Numer. Methods Eng. 58, No. 15, 2265-2293 (2003). MSC: 74H15 74S05 65Y05 74K99 68U20 PDFBibTeX XMLCite \textit{R. Kanapady} and \textit{K. K. Tamma}, Int. J. Numer. Methods Eng. 58, No. 15, 2265--2293 (2003; Zbl 1047.74021) Full Text: DOI
Kim, Nam Ho; Choi, Kyung Kook; Chen, Jiun-Shyan; Botkin, Mark E. Meshfree analysis and design sensitivity analysis for shell structures. (English) Zbl 1051.74054 Int. J. Numer. Methods Eng. 53, No. 9, 2087-2116 (2002). MSC: 74S30 74K25 PDFBibTeX XMLCite \textit{N. H. Kim} et al., Int. J. Numer. Methods Eng. 53, No. 9, 2087--2116 (2002; Zbl 1051.74054) Full Text: DOI
Qu, Yong; Fish, Jacob Multiformal incomplete factorization for indefinite and complex symmetric systems. (English) Zbl 0996.76075 Int. J. Numer. Methods Eng. 53, No. 6, 1433-1459 (2002). MSC: 76M99 76Q05 74F10 65F10 PDFBibTeX XMLCite \textit{Y. Qu} and \textit{J. Fish}, Int. J. Numer. Methods Eng. 53, No. 6, 1433--1459 (2002; Zbl 0996.76075) Full Text: DOI
Magolu Monga Made, Mardochée Incomplete factorization-based preconditionings for solving the Helmholtz equation. (English) Zbl 0977.65102 Int. J. Numer. Methods Eng. 50, No. 5, 1077-1101 (2001). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N30 35J05 65F10 65F35 PDFBibTeX XMLCite \textit{M. Magolu Monga Made}, Int. J. Numer. Methods Eng. 50, No. 5, 1077--1101 (2001; Zbl 0977.65102) Full Text: DOI
Geers, Nikolaus; Klees, Roland Solution of large linear systems on pipelined SIMCD machines. (English) Zbl 0882.65014 Int. J. Numer. Methods Eng. 40, No. 13, 2433-2448 (1997). Reviewer: W.Gander (Zürich) MSC: 65F05 65Y05 PDFBibTeX XMLCite \textit{N. Geers} and \textit{R. Klees}, Int. J. Numer. Methods Eng. 40, No. 13, 2433--2448 (1997; Zbl 0882.65014) Full Text: DOI
Singh, R. K.; Smith, H. A.; Sorensen, D. C. Application of \(k\)-step Lanczos method to extract the interior eigenvalues of skeletal systems. (English) Zbl 0848.73070 Int. J. Numer. Methods Eng. 39, No. 4, 705-716 (1996). MSC: 74S05 74H45 65F15 PDFBibTeX XMLCite \textit{R. K. Singh} et al., Int. J. Numer. Methods Eng. 39, No. 4, 705--716 (1996; Zbl 0848.73070) Full Text: DOI