Hu, Qiya; Zhao, Lin Domain decomposition preconditioners for the system generated by discontinuous Galerkin discretization of 2D-3T heat conduction equations. (English) Zbl 1488.65397 Commun. Comput. Phys. 22, No. 4, 1069-1100 (2017). MSC: 65M55 65M60 35K51 35K59 PDFBibTeX XMLCite \textit{Q. Hu} and \textit{L. Zhao}, Commun. Comput. Phys. 22, No. 4, 1069--1100 (2017; Zbl 1488.65397) Full Text: DOI
Huang, Peiqi; Chen, Jinru; Cai, Mingchao A mortar method using nonconforming and mixed finite elements for the coupled Stokes-Darcy model. (English) Zbl 1488.65621 Adv. Appl. Math. Mech. 9, No. 3, 596-620 (2017). MSC: 65N30 65N12 65N55 76D07 76S05 65N15 35Q35 PDFBibTeX XMLCite \textit{P. Huang} et al., Adv. Appl. Math. Mech. 9, No. 3, 596--620 (2017; Zbl 1488.65621) Full Text: DOI
Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M. Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. (English) Zbl 1439.76121 Comput. Methods Appl. Mech. Eng. 326, 144-174 (2017). MSC: 76M20 65M06 65M12 76D05 PDFBibTeX XMLCite \textit{Z. Guo} et al., Comput. Methods Appl. Mech. Eng. 326, 144--174 (2017; Zbl 1439.76121) Full Text: DOI arXiv
Subber, Waad; Matouš, Karel Asynchronous space-time domain decomposition method with localized uncertainty quantification. (English) Zbl 1440.65013 Comput. Methods Appl. Mech. Eng. 325, 369-394 (2017). MSC: 65C30 60G12 65N55 65N75 PDFBibTeX XMLCite \textit{W. Subber} and \textit{K. Matouš}, Comput. Methods Appl. Mech. Eng. 325, 369--394 (2017; Zbl 1440.65013) Full Text: DOI
Zhao, Xuan; Hu, Xiaozhe; Cai, Wei; Karniadakis, George Em Adaptive finite element method for fractional differential equations using hierarchical matrices. (English) Zbl 1439.65091 Comput. Methods Appl. Mech. Eng. 325, 56-76 (2017). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{X. Zhao} et al., Comput. Methods Appl. Mech. Eng. 325, 56--76 (2017; Zbl 1439.65091) Full Text: DOI arXiv
Mota, Alejandro; Tezaur, Irina; Alleman, Coleman The Schwarz alternating method in solid mechanics. (English) Zbl 1439.74450 Comput. Methods Appl. Mech. Eng. 319, 19-51 (2017); corrigendum ibid. 344, 1147-1148 (2019). MSC: 74S05 65N55 65N30 74A20 PDFBibTeX XMLCite \textit{A. Mota} et al., Comput. Methods Appl. Mech. Eng. 319, 19--51 (2017; Zbl 1439.74450) Full Text: DOI
Jo, Gwanghyun; Kwak, Do Y. An IMPES scheme for a two-phase flow in heterogeneous porous media using a structured grid. (English) Zbl 1439.74427 Comput. Methods Appl. Mech. Eng. 317, 684-701 (2017). MSC: 74S05 65M60 74F10 76S05 PDFBibTeX XMLCite \textit{G. Jo} and \textit{D. Y. Kwak}, Comput. Methods Appl. Mech. Eng. 317, 684--701 (2017; Zbl 1439.74427) Full Text: DOI arXiv
Dornisch, W.; Stöckler, J.; Müller, R. Dual and approximate dual basis functions for B-splines and NURBS – comparison and application for an efficient coupling of patches with the isogeometric mortar method. (English) Zbl 1439.65157 Comput. Methods Appl. Mech. Eng. 316, 449-496 (2017). MSC: 65N30 65D07 65N50 65N55 PDFBibTeX XMLCite \textit{W. Dornisch} et al., Comput. Methods Appl. Mech. Eng. 316, 449--496 (2017; Zbl 1439.65157) Full Text: DOI
Bouclier, Robin; Passieux, Jean-Charles; Salaün, Michel Development of a new, more regular, mortar method for the coupling of NURBS subdomains within a NURBS patch: application to a non-intrusive local enrichment of NURBS patches. (English) Zbl 1439.74498 Comput. Methods Appl. Mech. Eng. 316, 123-150 (2017). MSC: 74S99 65N55 65D07 74B05 PDFBibTeX XMLCite \textit{R. Bouclier} et al., Comput. Methods Appl. Mech. Eng. 316, 123--150 (2017; Zbl 1439.74498) Full Text: DOI Link
Ganis, Benjamin; Vassilev, Danail; Wang, ChangQing; Yotov, Ivan A multiscale flux basis for mortar mixed discretizations of Stokes-Darcy flows. (English) Zbl 1439.76152 Comput. Methods Appl. Mech. Eng. 313, 259-278 (2017). MSC: 76S05 65N30 65N55 76M10 PDFBibTeX XMLCite \textit{B. Ganis} et al., Comput. Methods Appl. Mech. Eng. 313, 259--278 (2017; Zbl 1439.76152) Full Text: DOI
Cortinovis, Davide; Jenny, Patrick Zonal multiscale finite-volume framework. (English) Zbl 1415.65244 J. Comput. Phys. 337, 84-97 (2017). MSC: 65N08 65N55 35J47 PDFBibTeX XMLCite \textit{D. Cortinovis} and \textit{P. Jenny}, J. Comput. Phys. 337, 84--97 (2017; Zbl 1415.65244) Full Text: DOI
Li, Yibao; Guo, Shimin Triply periodic minimal surface using a modified Allen-Cahn equation. (English) Zbl 1411.82029 Appl. Math. Comput. 295, 84-94 (2017). MSC: 82C26 82D25 PDFBibTeX XMLCite \textit{Y. Li} and \textit{S. Guo}, Appl. Math. Comput. 295, 84--94 (2017; Zbl 1411.82029) Full Text: DOI
Kumar, Sunil; Kumar, B. V. Rathish A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation. (English) Zbl 1411.65129 Appl. Math. Comput. 293, 508-522 (2017). MSC: 65M60 65M12 35B25 35K20 35K65 65M55 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{B. V. R. Kumar}, Appl. Math. Comput. 293, 508--522 (2017; Zbl 1411.65129) Full Text: DOI
Choi, Yongho; Jeong, Darae; Kim, Junseok A multigrid solution for the Cahn-Hilliard equation on nonuniform grids. (English) Zbl 1411.65107 Appl. Math. Comput. 293, 320-333 (2017). MSC: 65M06 35K20 35K59 65M12 65M55 PDFBibTeX XMLCite \textit{Y. Choi} et al., Appl. Math. Comput. 293, 320--333 (2017; Zbl 1411.65107) Full Text: DOI
Han, Jiayu; Yang, Yidu; Bi, Hai A new multigrid finite element method for the transmission eigenvalue problems. (English) Zbl 1410.65448 Appl. Math. Comput. 292, 96-106 (2017). MSC: 65N30 65N25 65N55 PDFBibTeX XMLCite \textit{J. Han} et al., Appl. Math. Comput. 292, 96--106 (2017; Zbl 1410.65448) Full Text: DOI arXiv
Vorozhtsov, E. V.; Shapeev, V. P. Application of the integral form of collocation equations and differential matching conditions in the collocation and least squares methods. (Russian. English summary) Zbl 1413.65437 Mat. Strukt. Model. 43, 70-85 (2017). MSC: 65N35 65N12 PDFBibTeX XMLCite \textit{E. V. Vorozhtsov} and \textit{V. P. Shapeev}, Mat. Strukt. Model. 43, 70--85 (2017; Zbl 1413.65437) Full Text: DOI
Dikalyuk, A. S.; Kuratov, S. E. Implementation of particle-in-cell method on unstructured grids for numerical modeling of plasma devices. (Russian. English summary) Zbl 1413.65339 Mat. Model. 29, No. 9, 32-48 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65M08 65M75 35J05 82D10 65M55 PDFBibTeX XMLCite \textit{A. S. Dikalyuk} and \textit{S. E. Kuratov}, Mat. Model. 29, No. 9, 32--48 (2017; Zbl 1413.65339) Full Text: MNR
Darrigrand, Eric; Gmati, Nabil; Rais, Rania Convergence of Krylov subspace solvers with Schwarz preconditioner for the exterior Maxwell problem. (English) Zbl 1397.65258 Comput. Math. Appl. 74, No. 11, 2691-2709 (2017). MSC: 65N30 65N55 78M10 65F08 35C15 65N12 65F10 35Q61 PDFBibTeX XMLCite \textit{E. Darrigrand} et al., Comput. Math. Appl. 74, No. 11, 2691--2709 (2017; Zbl 1397.65258) Full Text: DOI HAL
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng Multigrid methods for saddle point problems: Oseen system. (English) Zbl 1402.65176 Comput. Math. Appl. 74, No. 9, 2056-2067 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N30 76D07 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Math. Appl. 74, No. 9, 2056--2067 (2017; Zbl 1402.65176) Full Text: DOI Link
Petrides, Socratis; Demkowicz, Leszek F. An adaptive DPG method for high frequency time-harmonic wave propagation problems. (English) Zbl 1397.65288 Comput. Math. Appl. 74, No. 8, 1999-2017 (2017). MSC: 65N30 65N55 65F08 65F10 PDFBibTeX XMLCite \textit{S. Petrides} and \textit{L. F. Demkowicz}, Comput. Math. Appl. 74, No. 8, 1999--2017 (2017; Zbl 1397.65288) 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
Kumar, Sunil; Rathish Kumar, B. V. A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation. (English) Zbl 1401.65107 Int. J. Nonlinear Sci. Numer. Simul. 18, No. 1, 41-55 (2017). MSC: 65M60 35B25 35K20 35K57 35K58 65M12 65M55 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{B. V. Rathish Kumar}, Int. J. Nonlinear Sci. Numer. Simul. 18, No. 1, 41--55 (2017; Zbl 1401.65107) Full Text: DOI
Cao, Fujun; Ge, Yongbin; Sun, Hai-Wei Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems. (English) Zbl 1397.65132 Int. J. Comput. Math. 94, No. 12, 2356-2372 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M06 65M12 65M55 76M20 PDFBibTeX XMLCite \textit{F. Cao} et al., Int. J. Comput. Math. 94, No. 12, 2356--2372 (2017; Zbl 1397.65132) Full Text: DOI
Tang, Zhiqiang; Geng, Fazhan; Zong, Dawei Reproducing kernel method for singularly perturbed parabolic convection-diffusion problems. (English) Zbl 1399.65353 J. Syst. Sci. Math. Sci. 37, No. 10, 2129-2137 (2017). MSC: 65N55 35B25 PDFBibTeX XMLCite \textit{Z. Tang} et al., J. Syst. Sci. Math. Sci. 37, No. 10, 2129--2137 (2017; Zbl 1399.65353)
Liu, Jun; Froese, Brittany D.; Oberman, Adam M.; Xiao, Mingqing A multigrid scheme for 3D Monge-Ampère equations. (English) Zbl 1394.65130 Int. J. Comput. Math. 94, No. 9, 1850-1866 (2017). MSC: 65N06 65N22 65N55 65N12 35J96 PDFBibTeX XMLCite \textit{J. Liu} et al., Int. J. Comput. Math. 94, No. 9, 1850--1866 (2017; Zbl 1394.65130) Full Text: DOI arXiv
Jeong, Darae; Kim, Junseok Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows. (English) Zbl 1390.76577 Comput. Fluids 156, 239-246 (2017). MSC: 76M20 65M06 76D05 76D27 PDFBibTeX XMLCite \textit{D. Jeong} and \textit{J. Kim}, Comput. Fluids 156, 239--246 (2017; Zbl 1390.76577) Full Text: DOI
Volkov, K. N.; Kozelkov, A. S.; Lashkin, S. V.; Tarasova, N. V.; Yalozo, A. V. A parallel implementation of the algebraic multigrid method for solving problems in dynamics of viscous incompressible fluid. (English. Russian original) Zbl 1444.76045 Comput. Math. Math. Phys. 57, No. 12, 2030-2046 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2079-2097 (2017). MSC: 76D05 65M55 65Y05 PDFBibTeX XMLCite \textit{K. N. Volkov} et al., Comput. Math. Math. Phys. 57, No. 12, 2030--2046 (2017; Zbl 1444.76045); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2079--2097 (2017) Full Text: DOI
Altaf, M. U.; Titi, E. S.; Gebrael, T.; Knio, O. M.; Zhao, L.; McCabe, M. F.; Hoteit, I. Downscaling the 2D Bénard convection equations using continuous data assimilation. (English) Zbl 1383.65088 Comput. Geosci. 21, No. 3, 393-410 (2017). MSC: 65M06 65M55 76R10 76M20 35K55 PDFBibTeX XMLCite \textit{M. U. Altaf} et al., Comput. Geosci. 21, No. 3, 393--410 (2017; Zbl 1383.65088) Full Text: DOI arXiv
Bakr, Shaaban A.; Pardo, David A multi-domain decomposition-based Fourier finite element method for the simulation of 3D marine CSEM measurements. (English) Zbl 1398.86002 Comput. Geosci. 21, No. 3, 345-357 (2017). MSC: 86-08 65N55 65N30 78M25 86A25 PDFBibTeX XMLCite \textit{S. A. Bakr} and \textit{D. Pardo}, Comput. Geosci. 21, No. 3, 345--357 (2017; Zbl 1398.86002) Full Text: DOI Link
Boon, W. M.; Balbarini, N.; Binning, P. J.; Nordbotten, J. M. Efficient water table evolution discretization using domain transformation. (English) Zbl 1387.86006 Comput. Geosci. 21, No. 1, 3-11 (2017). MSC: 86A05 65N55 65N22 PDFBibTeX XMLCite \textit{W. M. Boon} et al., Comput. Geosci. 21, No. 1, 3--11 (2017; Zbl 1387.86006) Full Text: DOI
Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele BDDC and FETI-DP for the virtual element method. (English) Zbl 1429.65274 Calcolo 54, No. 4, 1565-1593 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N55 35J25 65N12 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Calcolo 54, No. 4, 1565--1593 (2017; Zbl 1429.65274) Full Text: DOI arXiv
Gravenkamp, Hauke; Duczek, Sascha Automatic image-based analyses using a coupled quadtree-SBFEM/SCM approach. (English) Zbl 1386.94008 Comput. Mech. 60, No. 4, 559-584 (2017). MSC: 94A08 65N38 65N55 PDFBibTeX XMLCite \textit{H. Gravenkamp} and \textit{S. Duczek}, Comput. Mech. 60, No. 4, 559--584 (2017; Zbl 1386.94008) Full Text: DOI
Wang, Xiaowo; Prakash, Arun; Chen, Jiun-Shyan; Taciroglu, Ertugrul Variationally consistent coupling of non-matching discretizations for large deformation problems. (English) Zbl 1412.65227 Comput. Mech. 60, No. 3, 465-478 (2017). MSC: 65N30 65N55 74S05 74A50 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Mech. 60, No. 3, 465--478 (2017; Zbl 1412.65227) Full Text: DOI
Dal Santo, Niccolò; Deparis, Simone; Manzoni, Andrea A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations. (English) Zbl 1382.65384 Commun. Appl. Ind. Math. 8, No. 1, 282-297 (2017). MSC: 65N30 35J25 65F08 65N55 65Y20 65F10 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., Commun. Appl. Ind. Math. 8, No. 1, 282--297 (2017; Zbl 1382.65384) Full Text: DOI
Stiller, Jörg Robust multigrid for Cartesian interior penalty DG formulations of the Poisson equation in 3D. (English) Zbl 1382.65454 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 189-201 (2017). MSC: 65N55 65N30 35J05 65N12 65Y20 65F10 PDFBibTeX XMLCite \textit{J. Stiller}, Lect. Notes Comput. Sci. Eng. 119, 189--201 (2017; Zbl 1382.65454) Full Text: DOI arXiv
Schlittler, Thiago Milanetto; Cottereau, Régis Fully scalable implementation of a volume coupling scheme for the modeling of multiscale materials. (English) Zbl 1387.74114 Comput. Mech. 60, No. 5, 827-844 (2017). MSC: 74S05 65N30 65N55 PDFBibTeX XMLCite \textit{T. M. Schlittler} and \textit{R. Cottereau}, Comput. Mech. 60, No. 5, 827--844 (2017; Zbl 1387.74114) Full Text: DOI HAL
Pan, Kejia; He, Dongdong; Hu, Hongling; Ren, Zhengyong A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems. (English) Zbl 1380.65407 J. Comput. Phys. 344, 499-515 (2017). MSC: 65N55 35J57 65N30 PDFBibTeX XMLCite \textit{K. Pan} et al., J. Comput. Phys. 344, 499--515 (2017; Zbl 1380.65407) Full Text: DOI arXiv
Yu, Luyang; Lu, Renyang; Jiang, Shan One-dimensional parabolic equation with an exact solution solving by the multiscale numerical computation on Shishkin grid. (Chinese. English summary) Zbl 1399.65241 J. Yangzhou Univ., Nat. Sci. Ed. 20, No. 1, 23-27 (2017). MSC: 65M55 65M60 65M06 PDFBibTeX XMLCite \textit{L. Yu} et al., J. Yangzhou Univ., Nat. Sci. Ed. 20, No. 1, 23--27 (2017; Zbl 1399.65241) Full Text: DOI
Sun, Shi; Huang, Ziping; Wang, Cheng Cascadic multigrid algorithm based on weak Galerkin finite element discretization. (Chinese. English summary) Zbl 1399.65352 J. Tongji Univ., Nat. Sci. 45, No. 6, 936-940 (2017). MSC: 65N55 65N30 65N15 35J15 PDFBibTeX XMLCite \textit{S. Sun} et al., J. Tongji Univ., Nat. Sci. 45, No. 6, 936--940 (2017; Zbl 1399.65352) Full Text: DOI
Tan, Zhiyu; Gong, Wei; Yan, Ningning Overlapping domain decomposition preconditioners for unconstrained elliptic optimal control problems. (English) Zbl 1432.49043 Int. J. Numer. Anal. Model. 14, No. 4-5, 550-570 (2017). MSC: 49M25 65F08 65K10 65N30 65N55 PDFBibTeX XMLCite \textit{Z. Tan} et al., Int. J. Numer. Anal. Model. 14, No. 4--5, 550--570 (2017; Zbl 1432.49043) Full Text: Link
Khan, Arbaz; Dutt, Pravir; Upadhyay, Chandra Shekhar Spectral element method for parabolic initial value problem with non-smooth data: analysis and application. (English) Zbl 1395.65103 J. Sci. Comput. 73, No. 2-3, 876-905 (2017). MSC: 65M70 65M22 65M55 65Y05 PDFBibTeX XMLCite \textit{A. Khan} et al., J. Sci. Comput. 73, No. 2--3, 876--905 (2017; Zbl 1395.65103) Full Text: DOI
Vabishchevich, P. N. Vector domain decomposition schemes for parabolic equations. (English. Russian original) Zbl 1454.65110 Comput. Math. Math. Phys. 57, No. 9, 1511-1527 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1530-1547 (2017). MSC: 65M55 65M60 65M06 65M12 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Comput. Math. Math. Phys. 57, No. 9, 1511--1527 (2017; Zbl 1454.65110); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1530--1547 (2017) Full Text: DOI
Bai, Zhong-Zhi; Zhang, Li-Li Modulus-based multigrid methods for linear complementarity problems. (English) Zbl 1463.65160 Numer. Linear Algebra Appl. 24, No. 6, e2105, 15 p. (2017). MSC: 65K15 65N55 90C33 PDFBibTeX XMLCite \textit{Z.-Z. Bai} and \textit{L.-L. Zhang}, Numer. Linear Algebra Appl. 24, No. 6, e2105, 15 p. (2017; Zbl 1463.65160) Full Text: DOI
Shankar, Varun The overlapped radial basis function-finite difference (RBF-FD) method: a generalization of RBF-FD. (English) Zbl 1380.65180 J. Comput. Phys. 342, 211-228 (2017). MSC: 65M06 65M55 35K05 PDFBibTeX XMLCite \textit{V. Shankar}, J. Comput. Phys. 342, 211--228 (2017; Zbl 1380.65180) Full Text: DOI arXiv
Hou, Thomas Y.; Hwang, Feng-Nan; Liu, Pengfei; Yao, Chien-Chou An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients. (English) Zbl 1380.65268 J. Comput. Phys. 336, 375-400 (2017). MSC: 65M60 35J47 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., J. Comput. Phys. 336, 375--400 (2017; Zbl 1380.65268) Full Text: DOI
Lin, Xue-lei; Ng, Michael K.; Sun, Hai-Wei A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations. (English) Zbl 1375.35606 J. Comput. Phys. 336, 69-86 (2017). MSC: 35R11 65M55 65M22 PDFBibTeX XMLCite \textit{X.-l. Lin} et al., J. Comput. Phys. 336, 69--86 (2017; Zbl 1375.35606) Full Text: DOI
Khamidullin, M.; Mazo, A.; Potashev, K. Numerical simulation of a one-phase steady flow towards a multistage fractured horizontal well. (English) Zbl 1457.65071 Lobachevskii J. Math. 38, No. 5, 818-826 (2017). MSC: 65M08 65F08 65F10 65F22 76S05 35Q35 PDFBibTeX XMLCite \textit{M. Khamidullin} et al., Lobachevskii J. Math. 38, No. 5, 818--826 (2017; Zbl 1457.65071) Full Text: DOI
Antoine, X.; Lorin, E. An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. (English) Zbl 1383.65122 Numer. Math. 137, No. 4, 923-958 (2017). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M55 65M12 65M06 35Q55 35Q41 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Numer. Math. 137, No. 4, 923--958 (2017; Zbl 1383.65122) Full Text: DOI HAL
Tang, Shibing; Xu, Xuejun Local multilevel methods with rectangular finite elements for the biharmonic problem. (English) Zbl 1377.65152 SIAM J. Sci. Comput. 39, No. 6, A2592-A2615 (2017). MSC: 65N30 65N50 35J40 65N55 65N12 PDFBibTeX XMLCite \textit{S. Tang} and \textit{X. Xu}, SIAM J. Sci. Comput. 39, No. 6, A2592--A2615 (2017; Zbl 1377.65152) Full Text: DOI
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results. (English) Zbl 1377.65163 SIAM J. Sci. Comput. 39, No. 6, C417-C451 (2017). MSC: 65N55 65F08 65Y05 35J60 PDFBibTeX XMLCite \textit{A. Klawonn} et al., SIAM J. Sci. Comput. 39, No. 6, C417--C451 (2017; Zbl 1377.65163) Full Text: DOI
Ainsworth, Mark; Glusa, Christian Is the multigrid method fault tolerant? The multilevel case. (English) Zbl 1377.65041 SIAM J. Sci. Comput. 39, No. 6, C393-C416 (2017). MSC: 65F10 65N22 65N55 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{C. Glusa}, SIAM J. Sci. Comput. 39, No. 6, C393--C416 (2017; Zbl 1377.65041) Full Text: DOI arXiv
Besse, Christophe; Xing, Feng Domain decomposition algorithms for two dimensional linear Schrödinger equation. (English) Zbl 1457.65088 J. Sci. Comput. 72, No. 2, 735-760 (2017). MSC: 65M55 65M06 65M12 35Q41 PDFBibTeX XMLCite \textit{C. Besse} and \textit{F. Xing}, J. Sci. Comput. 72, No. 2, 735--760 (2017; Zbl 1457.65088) Full Text: DOI arXiv
Lee, Kookjin; Elman, Howard C. A preconditioned low-rank projection method with a rank-reduction scheme for stochastic partial differential equations. (English) Zbl 1373.60126 SIAM J. Sci. Comput. 39, No. 5, S828-S850 (2017). MSC: 60H35 65F08 65F10 65N30 35R60 60H15 PDFBibTeX XMLCite \textit{K. Lee} and \textit{H. C. Elman}, SIAM J. Sci. Comput. 39, No. 5, S828--S850 (2017; Zbl 1373.60126) Full Text: DOI arXiv
Luo, Peiyao; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. Uzawa smoother in multigrid for the coupled porous medium and Stokes flow system. (English) Zbl 1422.65438 SIAM J. Sci. Comput. 39, No. 5, S633-S661 (2017). MSC: 65N55 65F10 76S05 76M25 PDFBibTeX XMLCite \textit{P. Luo} et al., SIAM J. Sci. Comput. 39, No. 5, S633--S661 (2017; Zbl 1422.65438) Full Text: DOI
Han, Xiaole; Xie, Hehu; Xu, Fei A cascadic multigrid method for eigenvalue problem. (English) Zbl 1399.65351 J. Comput. Math. 35, No. 1, 74-90 (2017). MSC: 65N55 65N25 65N30 65N12 PDFBibTeX XMLCite \textit{X. Han} et al., J. Comput. Math. 35, No. 1, 74--90 (2017; Zbl 1399.65351) Full Text: DOI arXiv
Xiao, Yingxiong; Wang, Biao; Li, Zhenyou GAMG method for higher-order finite element discretizations of modeling weak discontinuities problems. (Chinese. English summary) Zbl 1389.74042 Chin. J. Comput. Mech. 34, No. 1, 35-42 (2017). MSC: 74S30 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Chin. J. Comput. Mech. 34, No. 1, 35--42 (2017; Zbl 1389.74042) Full Text: DOI
Turc, Catalin; Boubendir, Yassine; Riahi, Mohamed Kamel Well-conditioned boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains. (English) Zbl 1376.65146 J. Integral Equations Appl. 29, No. 3, 441-472 (2017). MSC: 65N38 35J05 65N55 65N12 PDFBibTeX XMLCite \textit{C. Turc} et al., J. Integral Equations Appl. 29, No. 3, 441--472 (2017; Zbl 1376.65146) Full Text: DOI arXiv Euclid
Pamuk, Serdal Numerical solution of a 2D-diffusion reaction problem modelling the density of di-vacancies and vacancies in a metal. (English) Zbl 1380.65241 TWMS J. Appl. Eng. Math. 7, No. 1, 165-172 (2017). MSC: 65M55 35K57 35Q74 PDFBibTeX XMLCite \textit{S. Pamuk}, TWMS J. Appl. Eng. Math. 7, No. 1, 165--172 (2017; Zbl 1380.65241)
Surov, V. S. On the calculation by the Godunov method of multidimensional currents multi-speed heterogeneous medium. (Russian. English summary) Zbl 1389.76059 Mat. Model. 29, No. 3, 29-41 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76T10 35L40 65M06 65M55 PDFBibTeX XMLCite \textit{V. S. Surov}, Mat. Model. 29, No. 3, 29--41 (2017; Zbl 1389.76059) Full Text: MNR
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
Wilbrandt, Ulrich; Bartsch, Clemens; Ahmed, Naveed; Alia, Najib; Anker, Felix; Blank, Laura; Caiazzo, Alfonso; Ganesan, Sashikumaar; Giere, Swetlana; Matthies, Gunar; Meesala, Raviteja; Shamim, Abdus; Venkatesan, Jagannath; John, Volker ParMooN – a modernized program package based on mapped finite elements. (English) Zbl 1375.65158 Comput. Math. Appl. 74, No. 1, 74-88 (2017). MSC: 65N30 65M60 35J25 35K20 65M55 65N55 65Y15 65Y05 PDFBibTeX XMLCite \textit{U. Wilbrandt} et al., Comput. Math. Appl. 74, No. 1, 74--88 (2017; Zbl 1375.65158) Full Text: DOI arXiv
Chen, Minghua; Deng, Weihua Convergence analysis of a multigrid method for a nonlocal model. (English) Zbl 1373.65068 SIAM J. Matrix Anal. Appl. 38, No. 3, 869-890 (2017). MSC: 65M55 65M12 35K20 15B05 PDFBibTeX XMLCite \textit{M. Chen} and \textit{W. Deng}, SIAM J. Matrix Anal. Appl. 38, No. 3, 869--890 (2017; Zbl 1373.65068) Full Text: DOI arXiv
Magoulès, Frédéric; Szyld, Daniel B.; Venet, Cédric Asynchronous optimized Schwarz methods with and without overlap. (English) Zbl 1382.65449 Numer. Math. 137, No. 1, 199-227 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 65F10 65N22 35J05 65N12 86A20 PDFBibTeX XMLCite \textit{F. Magoulès} et al., Numer. Math. 137, No. 1, 199--227 (2017; Zbl 1382.65449) Full Text: DOI
Beneš, Michal Convergence and stability analysis of heterogeneous time step coupling schemes for parabolic problems. (English) Zbl 1372.65252 Appl. Numer. Math. 121, 198-222 (2017). MSC: 65M12 65M20 65M55 65M06 65M15 35K20 PDFBibTeX XMLCite \textit{M. Beneš}, Appl. Numer. Math. 121, 198--222 (2017; Zbl 1372.65252) Full Text: DOI
Hu, Qiya; Li, Xuan Novel multilevel preconditioners for the systems arising from plane wave discretization of Helmholtz equations with large wave numbers. (English) Zbl 1372.65324 SIAM J. Sci. Comput. 39, No. 4, A1675-A1709 (2017). MSC: 65N55 65F08 65N30 PDFBibTeX XMLCite \textit{Q. Hu} and \textit{X. Li}, SIAM J. Sci. Comput. 39, No. 4, A1675--A1709 (2017; Zbl 1372.65324) Full Text: DOI arXiv
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan ArbiLoMod, a simulation technique designed for arbitrary local modifications. (English) Zbl 1369.65160 SIAM J. Sci. Comput. 39, No. 4, A1435-A1465 (2017). MSC: 65N55 65N30 PDFBibTeX XMLCite \textit{A. Buhr} et al., SIAM J. Sci. Comput. 39, No. 4, A1435--A1465 (2017; Zbl 1369.65160) Full Text: DOI arXiv
Stiller, Jörg Nonuniformly weighted Schwarz smoothers for spectral element multigrid. (English) Zbl 1371.65122 J. Sci. Comput. 72, No. 1, 81-96 (2017). MSC: 65N30 65N35 35J05 65N55 65F10 PDFBibTeX XMLCite \textit{J. Stiller}, J. Sci. Comput. 72, No. 1, 81--96 (2017; Zbl 1371.65122) Full Text: DOI arXiv
Zhang, Wenjuan; Al Kobaisi, Mohammed A simplified enhanced MPFA formulation for the elliptic equation on general grids. (English) Zbl 1371.65115 Comput. Geosci. 21, No. 4, 621-643 (2017). MSC: 65N08 35J25 65N55 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{M. Al Kobaisi}, Comput. Geosci. 21, No. 4, 621--643 (2017; Zbl 1371.65115) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei An improved non-traditional finite element formulation for solving three-dimensional elliptic interface problems. (English) Zbl 1368.65237 Comput. Math. Appl. 73, No. 3, 374-384 (2017). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Math. Appl. 73, No. 3, 374--384 (2017; Zbl 1368.65237) Full Text: DOI
Haferssas, R.; Jolivet, P.; Nataf, F. An additive Schwarz method type theory for Lions’s algorithm and a symmetrized optimized restricted additive Schwarz method. (English) Zbl 1371.65129 SIAM J. Sci. Comput. 39, No. 4, A1345-A1365 (2017). MSC: 65N55 35J25 74B05 76D07 PDFBibTeX XMLCite \textit{R. Haferssas} et al., SIAM J. Sci. Comput. 39, No. 4, A1345--A1365 (2017; Zbl 1371.65129) Full Text: DOI
Li, Ruipeng; Saad, Yousef Low-rank correction methods for algebraic domain decomposition preconditioners. (English) Zbl 1371.65029 SIAM J. Matrix Anal. Appl. 38, No. 3, 807-828 (2017). MSC: 65F08 65F10 65Y05 65F50 65N55 65F25 35J05 74B05 PDFBibTeX XMLCite \textit{R. Li} and \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 38, No. 3, 807--828 (2017; Zbl 1371.65029) Full Text: DOI arXiv
Li, Buyang; Liu, Jun; Xiao, Mingqing A new multigrid method for unconstrained parabolic optimal control problems. (English) Zbl 1370.65032 J. Comput. Appl. Math. 326, 358-373 (2017). MSC: 65K10 49J20 49M25 65Y20 PDFBibTeX XMLCite \textit{B. Li} et al., J. Comput. Appl. Math. 326, 358--373 (2017; Zbl 1370.65032) Full Text: DOI
Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P. Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations. (English) Zbl 1372.65317 Calcolo 54, No. 1, 367-399 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N38 65F08 35J05 65N55 PDFBibTeX XMLCite \textit{M. Feischl} et al., Calcolo 54, No. 1, 367--399 (2017; Zbl 1372.65317) Full Text: DOI arXiv
Li, Xiang; Xu, Xuejun Domain decomposition preconditioners for the discontinuous Petrov-Galerkin method. (English) Zbl 1373.65084 ESAIM, Math. Model. Numer. Anal. 51, No. 3, 1021-1044 (2017). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N22 65N55 35J05 65F08 65F10 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Xu}, ESAIM, Math. Model. Numer. Anal. 51, No. 3, 1021--1044 (2017; Zbl 1373.65084) Full Text: DOI
Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric An adaptive coarse space for P. L. Lions algorithm and optimized Schwarz methods. (English) Zbl 1369.65162 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 43-53 (2017). MSC: 65N55 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{R. Haferssas} et al., Lect. Notes Comput. Sci. Eng. 116, 43--53 (2017; Zbl 1369.65162) Full Text: DOI
Tikhovskaya, Svetlana Solving a singularly perturbed elliptic problem by a multigrid algorithm with Richardson extrapolation. (English) Zbl 1368.65252 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 674-681 (2017). MSC: 65N55 35J25 65N06 65N50 65N15 PDFBibTeX XMLCite \textit{S. Tikhovskaya}, Lect. Notes Comput. Sci. 10187, 674--681 (2017; Zbl 1368.65252) Full Text: DOI
Savchenko, Alexander; Petukhov, Artem An overlapping domain decomposition method for the Helmholtz exterior problem. (English) Zbl 1368.65251 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 591-598 (2017). MSC: 65N55 35J05 65N08 65N12 PDFBibTeX XMLCite \textit{A. Savchenko} and \textit{A. Petukhov}, Lect. Notes Comput. Sci. 10187, 591--598 (2017; Zbl 1368.65251) Full Text: DOI
Gáspár, Csaba Fast meshless techniques based on the regularized method of fundamental solutions. (English) Zbl 1368.65253 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 334-341 (2017). MSC: 65N80 65N06 65N55 PDFBibTeX XMLCite \textit{C. Gáspár}, Lect. Notes Comput. Sci. 10187, 334--341 (2017; Zbl 1368.65253) Full Text: DOI
Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng A BDDC preconditioner for a symmetric interior penalty Galerkin method. (English) Zbl 1368.65230 ETNA, Electron. Trans. Numer. Anal. 46, 190-214 (2017). MSC: 65N30 35J25 65N55 65F08 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., ETNA, Electron. Trans. Numer. Anal. 46, 190--214 (2017; Zbl 1368.65230) Full Text: EMIS
Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. On an Uzawa smoother in multigrid for poroelasticity equations. (English) Zbl 1424.76041 Numer. Linear Algebra Appl. 24, No. 1, e2074, 14 p. (2017). Reviewer: Karel Segeth (Praha) MSC: 76S05 65M55 42B05 PDFBibTeX XMLCite \textit{P. Luo} et al., Numer. Linear Algebra Appl. 24, No. 1, e2074, 14 p. (2017; Zbl 1424.76041) Full Text: DOI
Xu, Fei; Xie, Hehu A full multigrid method for semilinear elliptic equation. (English) Zbl 1424.65230 Appl. Math., Praha 62, No. 3, 225-241 (2017). MSC: 65N30 35J61 65N25 65N55 PDFBibTeX XMLCite \textit{F. Xu} and \textit{H. Xie}, Appl. Math., Praha 62, No. 3, 225--241 (2017; Zbl 1424.65230) Full Text: DOI arXiv
Stolk, Christiaan C. An improved sweeping domain decomposition preconditioner for the Helmholtz equation. (English) Zbl 1367.65188 Adv. Comput. Math. 43, No. 1, 45-76 (2017). MSC: 65N55 65F08 35J05 65Y05 PDFBibTeX XMLCite \textit{C. C. Stolk}, Adv. Comput. Math. 43, No. 1, 45--76 (2017; Zbl 1367.65188) Full Text: DOI arXiv Link
Li, Zheng; Wu, Shuhong; Zhang, Chen-Song; Xu, Jinchao; Feng, Chunsheng; Hu, Xiaozhe Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. (English) Zbl 1364.76157 Comput. Vis. Sci. 18, No. 2-3, 93-102 (2017). MSC: 76M25 65M55 76T10 86A20 86-08 PDFBibTeX XMLCite \textit{Z. Li} et al., Comput. Vis. Sci. 18, No. 2--3, 93--102 (2017; Zbl 1364.76157) Full Text: DOI
Lahaye, D.; Vuik, C. How to choose the shift in the shifted Laplace preconditioner for the Helmholtz equation combined with deflation. (English) Zbl 1366.65094 Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 85-112 (2017). MSC: 65N06 35J05 65N55 65N12 65F08 PDFBibTeX XMLCite \textit{D. Lahaye} and \textit{C. Vuik}, in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 85--112 (2017; Zbl 1366.65094) Full Text: DOI
Cools, Siegfried; Vanroose, Wim On the optimality of shifted Laplacian in a class of polynomial preconditioners for the Helmholtz equation. (English) Zbl 1366.65093 Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 53-81 (2017). MSC: 65N06 65N55 65F08 35J05 65N12 PDFBibTeX XMLCite \textit{S. Cools} and \textit{W. Vanroose}, in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 53--81 (2017; Zbl 1366.65093) Full Text: DOI arXiv
Nannen, Lothar High order transparent boundary conditions for the Helmholtz equation. (English) Zbl 1369.65149 Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 27-52 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65N55 35J05 PDFBibTeX XMLCite \textit{L. Nannen}, in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 27--52 (2017; Zbl 1369.65149) Full Text: DOI
Graham, Ivan G.; Spence, Euan A.; Vainikko, Eero Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. (English) Zbl 1366.65113 Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 3-26 (2017). MSC: 65N55 35J05 65F08 65N30 PDFBibTeX XMLCite \textit{I. G. Graham} et al., in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 3--26 (2017; Zbl 1366.65113) Full Text: DOI arXiv
Pan, Kejia; He, Dongdong; Hu, Hongling An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation. (English) Zbl 1366.65095 J. Sci. Comput. 70, No. 3, 1180-1203 (2017). MSC: 65N06 65N55 35J05 65F10 PDFBibTeX XMLCite \textit{K. Pan} et al., J. Sci. Comput. 70, No. 3, 1180--1203 (2017; Zbl 1366.65095) Full Text: DOI arXiv
Shurina, E. P.; Rak, B. V.; Zhigalov, P. S. Analysis of PML effectiveness in low-frequency applications (marine geoelectrics). (Russian. English summary) Zbl 1374.65170 Mat. Model. 29, No. 2, 33-46 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65M60 65M06 65M55 86A25 65Z05 86-08 35Q86 PDFBibTeX XMLCite \textit{E. P. Shurina} et al., Mat. Model. 29, No. 2, 33--46 (2017; Zbl 1374.65170) Full Text: MNR
Jeong, Darae; Kim, Junseok Phase-field model and its splitting numerical scheme for tissue growth. (English) Zbl 1365.65214 Appl. Numer. Math. 117, 22-35 (2017). MSC: 65M22 35Q92 65M55 PDFBibTeX XMLCite \textit{D. Jeong} and \textit{J. Kim}, Appl. Numer. Math. 117, 22--35 (2017; Zbl 1365.65214) Full Text: DOI
Shang, Yueqiang; Qin, Jin Parallel finite element variational multiscale algorithms for incompressible flow at high Reynolds numbers. (English) Zbl 1462.65198 Appl. Numer. Math. 117, 1-21 (2017). MSC: 65N30 65N55 65N15 65N12 65D32 65Y05 76D05 76M10 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{J. Qin}, Appl. Numer. Math. 117, 1--21 (2017; Zbl 1462.65198) Full Text: DOI
Zhang, Rui Yan; Xu, Fang Fang; Huang, Jian Chao Reconstructing local volatility using total variation. (English) Zbl 1401.91470 Acta Math. Sin., Engl. Ser. 33, No. 2, 263-277 (2017). MSC: 91B70 49M25 65M32 PDFBibTeX XMLCite \textit{R. Y. Zhang} et al., Acta Math. Sin., Engl. Ser. 33, No. 2, 263--277 (2017; Zbl 1401.91470) Full Text: DOI
Moghaderi, Hamid; Dehghan, Mehdi Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations. (English) Zbl 1380.65168 Math. Methods Appl. Sci. 40, No. 4, 1170-1200 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 65M15 65M55 PDFBibTeX XMLCite \textit{H. Moghaderi} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 40, No. 4, 1170--1200 (2017; Zbl 1380.65168) Full Text: DOI
Badea, Lori; Lebon, Frédéric Schwarz method for dual contact problems. (English) Zbl 1358.74070 Comput. Appl. Math. 36, No. 1, 719-731 (2017). MSC: 74S30 65N55 65K15 74M10 74M15 PDFBibTeX XMLCite \textit{L. Badea} and \textit{F. Lebon}, Comput. Appl. Math. 36, No. 1, 719--731 (2017; Zbl 1358.74070) Full Text: DOI HAL
Yang, Haijian; Cai, Xiao-Chuan Two-level space-time domain decomposition methods for flow control problems. (English) Zbl 1404.65157 J. Sci. Comput. 70, No. 2, 717-743 (2017). MSC: 65M55 65Y05 76D05 65M06 35Q30 49K20 49M15 80A20 35Q79 93C20 65F08 65F10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X.-C. Cai}, J. Sci. Comput. 70, No. 2, 717--743 (2017; Zbl 1404.65157) Full Text: DOI
Bovet, Christophe; Gosselet, Pierre; Spillane, Nicole Multipreconditioning for nonsymmetric problems: the case of orthomin and biCG. (Multipréconditionnement pour les problèmes non symétriques: le cas des solveurs orthomin et biCG.) (English. Abridged French version) Zbl 1360.65091 C. R., Math., Acad. Sci. Paris 355, No. 3, 354-358 (2017). MSC: 65F08 65F10 65N30 65N55 PDFBibTeX XMLCite \textit{C. Bovet} et al., C. R., Math., Acad. Sci. Paris 355, No. 3, 354--358 (2017; Zbl 1360.65091) Full Text: DOI
la Cour Christensen, Max; Villa, Umberto; Engsig-Karup, Allan P.; Vassilevski, Panayot S. Numerical multilevel upscaling for incompressible flow in reservoir simulation: an element-based algebraic multigrid (amge) approach. (English) Zbl 1360.65247 SIAM J. Sci. Comput. 39, No. 1, B102-B137 (2017). MSC: 65M60 65M55 76S05 PDFBibTeX XMLCite \textit{M. la Cour Christensen} et al., SIAM J. Sci. Comput. 39, No. 1, B102--B137 (2017; Zbl 1360.65247) Full Text: DOI Link
Guo, Hailong; Zhang, Zhimin; Zhao, Ren Superconvergent two-grid methods for elliptic eigenvalue problems. (English) Zbl 1365.65245 J. Sci. Comput. 70, No. 1, 125-148 (2017). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65N25 65N15 65N30 65N12 35P15 65N55 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Sci. Comput. 70, No. 1, 125--148 (2017; Zbl 1365.65245) Full Text: DOI arXiv
Lehrenfeld, Christoph; Reusken, Arnold Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. (English) Zbl 1360.65281 Numer. Math. 135, No. 2, 313-332 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N22 65F08 35J25 65N55 PDFBibTeX XMLCite \textit{C. Lehrenfeld} and \textit{A. Reusken}, Numer. Math. 135, No. 2, 313--332 (2017; Zbl 1360.65281) Full Text: DOI arXiv
Besse, Christophe; Xing, Feng Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential. (English) Zbl 1359.65187 Numer. Algorithms 74, No. 2, 393-426 (2017). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M55 35Q55 65Y05 65F08 PDFBibTeX XMLCite \textit{C. Besse} and \textit{F. Xing}, Numer. Algorithms 74, No. 2, 393--426 (2017; Zbl 1359.65187) Full Text: DOI arXiv