He, Lishen; Valocchi, Albert J.; Duarte, C. A. An adaptive global-local generalized FEM for multiscale advection-diffusion problems. (English) Zbl 07823434 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116548, 17 p. (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{L. He} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116548, 17 p. (2024; Zbl 07823434) Full Text: DOI
Marzok, Ameer; Waisman, Haim XFEM{\textbackslash}GFEM based approach for topology optimization of extruded beams with enhanced buckling resistance. (English) Zbl 07822173 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116541, 26 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{A. Marzok} and \textit{H. Waisman}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116541, 26 p. (2024; Zbl 07822173) Full Text: DOI
Zhang, Wenzhong; Wang, Bo; Cai, Wei Exponential convergence theory of the multipole and local expansions for the 3-D Laplace equation in layered media. (English) Zbl 07814780 Ann. Appl. Math. 39, No. 2, 99-148 (2023). MSC: 15A15 15A09 15A23 PDFBibTeX XMLCite \textit{W. Zhang} et al., Ann. Appl. Math. 39, No. 2, 99--148 (2023; Zbl 07814780) Full Text: DOI arXiv
Chen, Long; Guo, Ruchi; Zou, Jun A family of immersed finite element spaces and applications to three-dimensional \(\mathbf{H}(\operatorname{curl})\) interface problems. (English) Zbl 07790223 SIAM J. Sci. Comput. 45, No. 6, A3121-A3149 (2023). MSC: 65N30 65N55 65F08 65F10 65N12 65N15 58A12 78A55 35Q61 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Sci. Comput. 45, No. 6, A3121--A3149 (2023; Zbl 07790223) Full Text: DOI arXiv
Yim, Jaeryun; Sheen, Dongwoo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. I: Fundamental results on dimensions, bases, solvers, and error analysis. (English) Zbl 07777376 Numer. Methods Partial Differ. Equations 39, No. 5, 3725-3753 (2023). MSC: 65N30 65N15 65F20 65F55 65F10 15A09 PDFBibTeX XMLCite \textit{J. Yim} and \textit{D. Sheen}, Numer. Methods Partial Differ. Equations 39, No. 5, 3725--3753 (2023; Zbl 07777376) Full Text: DOI arXiv
Yim, Jaeryun; Sheen, Dongwoo; Sim, Imbo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. II: Application to the nonconforming heterogeneous multiscale method. (English) Zbl 07777356 Numer. Methods Partial Differ. Equations 39, No. 4, 3309-3331 (2023). MSC: 65N30 65N15 65D30 65F10 65F05 35B27 35B05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Yim} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3309--3331 (2023; Zbl 07777356) 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
Dong, Zhaonan; Hauck, Moritz; Maier, Roland An improved high-order method for elliptic multiscale problems. (English) Zbl 07725052 SIAM J. Numer. Anal. 61, No. 4, 1918-1937 (2023). MSC: 65N30 65N12 35J30 PDFBibTeX XMLCite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 61, No. 4, 1918--1937 (2023; Zbl 07725052) Full Text: DOI arXiv
Cao, Shuhao; Chen, Long; Guo, Ruchi Immersed virtual element methods for electromagnetic interface problems in three dimensions. (English) Zbl 1514.65164 Math. Models Methods Appl. Sci. 33, No. 3, 455-503 (2023). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. Cao} et al., Math. Models Methods Appl. Sci. 33, No. 3, 455--503 (2023; Zbl 1514.65164) Full Text: DOI arXiv
Han, Yihui; Wang, Xiao-Ping; Xie, Xiaoping An interface/boundary-unfitted eXtended HDG method for linear elasticity problems. (English) Zbl 07698825 J. Sci. Comput. 94, No. 3, Paper No. 61, 29 p. (2023). MSC: 65Nxx 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Han} et al., J. Sci. Comput. 94, No. 3, Paper No. 61, 29 p. (2023; Zbl 07698825) Full Text: DOI arXiv
He, Lishen; Valocchi, Albert J.; Duarte, C. A. A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales. (English) Zbl 07696956 J. Comput. Phys. 488, Article ID 112179, 24 p. (2023). MSC: 65Nxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{L. He} et al., J. Comput. Phys. 488, Article ID 112179, 24 p. (2023; Zbl 07696956) Full Text: DOI
Ji, Haifeng An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions. (English) Zbl 1509.65115 Numer. Math. 153, No. 2-3, 279-325 (2023). MSC: 65N30 65N15 35J15 35R05 PDFBibTeX XMLCite \textit{H. Ji}, Numer. Math. 153, No. 2--3, 279--325 (2023; Zbl 1509.65115) Full Text: DOI arXiv
Adjerid, Slimane; Babuška, Ivo; Guo, Ruchi; Lin, Tao An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. (English) Zbl 07644843 Comput. Methods Appl. Mech. Eng. 404, Article ID 115770, 37 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{S. Adjerid} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115770, 37 p. (2023; Zbl 07644843) Full Text: DOI arXiv
Fu, Shubin; Chung, Eric; Zhao, Lina Generalized multiscale finite element method for highly heterogeneous compressible flow. (English) Zbl 1506.76074 Multiscale Model. Simul. 20, No. 4, 1437-1467 (2022). MSC: 76M10 65N30 76S05 65N12 PDFBibTeX XMLCite \textit{S. Fu} et al., Multiscale Model. Simul. 20, No. 4, 1437--1467 (2022; Zbl 1506.76074) Full Text: DOI arXiv
Lipton, Robert; Sinz, Paul; Stuebner, Michael Angles between subspaces and nearly optimal approximation in GFEM. (English) Zbl 1507.65246 Comput. Methods Appl. Mech. Eng. 402, Article ID 115628, 25 p. (2022). MSC: 65N30 PDFBibTeX XMLCite \textit{R. Lipton} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115628, 25 p. (2022; Zbl 1507.65246) Full Text: DOI
Zhao, Ze; Yan, Jinhui Enriched immersed boundary method (EIBM) for interface-coupled multi-physics and applications to convective conjugate heat transfer. (English) Zbl 1507.74526 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115667, 27 p. (2022). MSC: 74S05 74F20 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{J. Yan}, Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115667, 27 p. (2022; Zbl 1507.74526) Full Text: DOI
Zhang, Kuokuo; Deng, Weibing; Wu, Haijun A combined multiscale finite element method based on the LOD technique for the multiscale elliptic problems with singularities. (English) Zbl 07592140 J. Comput. Phys. 469, Article ID 111540, 21 p. (2022). MSC: 65Nxx 35Jxx 76Mxx PDFBibTeX XMLCite \textit{K. Zhang} et al., J. Comput. Phys. 469, Article ID 111540, 21 p. (2022; Zbl 07592140) Full Text: DOI arXiv
Cao, Shuhao; Chen, Long; Guo, Ruchi; Lin, Frank Immersed virtual element methods for elliptic interface problems in two dimensions. (English) Zbl 1497.65223 J. Sci. Comput. 93, No. 1, Paper No. 12, 41 p. (2022). MSC: 65N30 65N15 65N50 58A12 PDFBibTeX XMLCite \textit{S. Cao} et al., J. Sci. Comput. 93, No. 1, Paper No. 12, 41 p. (2022; Zbl 1497.65223) Full Text: DOI arXiv
Yu, Yikang; Yang, Xuemin; Cui, Yuanquan; Niu, Jing A broken reproducing kernel method for the multiple interface problems. (English) Zbl 1513.65261 Comput. Appl. Math. 41, No. 6, Paper No. 260, 22 p. (2022). MSC: 65L60 46E22 PDFBibTeX XMLCite \textit{Y. Yu} et al., Comput. Appl. Math. 41, No. 6, Paper No. 260, 22 p. (2022; Zbl 1513.65261) Full Text: DOI
Schleuß, Julia; Smetana, Kathrin Optimal local approximation spaces for parabolic problems. (English) Zbl 1487.65157 Multiscale Model. Simul. 20, No. 1, 551-582 (2022). MSC: 65M60 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{J. Schleuß} and \textit{K. Smetana}, Multiscale Model. Simul. 20, No. 1, 551--582 (2022; Zbl 1487.65157) Full Text: DOI arXiv
Ma, Jinwei; Duan, Qinglin; Tian, Rong A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastic and elastoplastic solids. (English) Zbl 1507.74494 Comput. Methods Appl. Mech. Eng. 392, Article ID 114639, 31 p. (2022). MSC: 74S05 65N30 65N50 74C05 PDFBibTeX XMLCite \textit{J. Ma} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114639, 31 p. (2022; Zbl 1507.74494) Full Text: DOI
Chen, Yifan; Hou, Thomas Y. Multiscale elliptic PDE upscaling and function approximation via subsampled data. (English) Zbl 1482.65212 Multiscale Model. Simul. 20, No. 1, 188-219 (2022). MSC: 65N30 65D07 65N15 35A35 35J25 65D05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{T. Y. Hou}, Multiscale Model. Simul. 20, No. 1, 188--219 (2022; Zbl 1482.65212) Full Text: DOI arXiv
Oleksy, Marta; Cecot, Witold; Rachowicz, Waldemar; Nessel, Michał An improved multiscale FEM for the free vibrations of heterogeneous solids. (English) Zbl 1524.74439 Comput. Math. Appl. 110, 110-122 (2022). MSC: 74S05 65N30 74E30 65N55 35J25 74H45 74E05 PDFBibTeX XMLCite \textit{M. Oleksy} et al., Comput. Math. Appl. 110, 110--122 (2022; Zbl 1524.74439) Full Text: DOI
Cittadin, Carolina Castro; Corrêa, Ramon Macedo; Arndt, Marcos; Machado, Roberto Dalledone Selective enrichment and modal matrix reduction in the generalized/extended finite element method applied to dynamic analysis of plane state problems. (English) Zbl 1507.74460 Eur. J. Mech., A, Solids 91, Article ID 104430, 16 p. (2022). MSC: 74S05 74H45 74K10 PDFBibTeX XMLCite \textit{C. C. Cittadin} et al., Eur. J. Mech., A, Solids 91, Article ID 104430, 16 p. (2022; Zbl 1507.74460) Full Text: DOI
Wang, Bo; Zhang, Wenzhong; Cai, Wei Fast multipole method for 3-D Laplace equation in layered media. (English) Zbl 1520.78052 Comput. Phys. Commun. 259, Article ID 107645, 19 p. (2021). MSC: 78M16 78A48 78A35 35J05 35J08 65F10 PDFBibTeX XMLCite \textit{B. Wang} et al., Comput. Phys. Commun. 259, Article ID 107645, 19 p. (2021; Zbl 1520.78052) Full Text: DOI arXiv
Altmann, Robert; Henning, Patrick; Peterseim, Daniel Numerical homogenization beyond scale separation. (English) Zbl 07674568 Acta Numerica 30, 1-86 (2021). MSC: 65Mxx PDFBibTeX XMLCite \textit{R. Altmann} et al., Acta Numerica 30, 1--86 (2021; Zbl 07674568) Full Text: DOI
Li, Ruo; Yang, Fanyi A sequential least squares method for elliptic equations in non-divergence form. (English) Zbl 1499.65674 Numer. Math., Theory Methods Appl. 14, No. 4, 1042-1067 (2021). MSC: 65N30 65N12 65N15 65N50 35J15 PDFBibTeX XMLCite \textit{R. Li} and \textit{F. Yang}, Numer. Math., Theory Methods Appl. 14, No. 4, 1042--1067 (2021; Zbl 1499.65674) Full Text: DOI arXiv
Guo, Ruchi; Zhang, Xu Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis. (English) Zbl 07513824 J. Comput. Phys. 441, Article ID 110445, 23 p. (2021). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{R. Guo} and \textit{X. Zhang}, J. Comput. Phys. 441, Article ID 110445, 23 p. (2021; Zbl 07513824) Full Text: DOI arXiv
Bosma, Sebastian B. M.; Klevtsov, Sergey; Møyner, Olav; Castelletto, Nicola Enhanced multiscale restriction-smoothed basis (MsRSB) preconditioning with applications to porous media flow and geomechanics. (English) Zbl 07511410 J. Comput. Phys. 428, Article ID 109934, 19 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{S. B. M. Bosma} et al., J. Comput. Phys. 428, Article ID 109934, 19 p. (2021; Zbl 07511410) Full Text: DOI arXiv
Yang, Zhiqiang; Sun, Yi; Cui, Junzhi; Ma, Qiang A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations. (English) Zbl 07508497 J. Comput. Phys. 425, Article ID 109900, 25 p. (2021). MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Comput. Phys. 425, Article ID 109900, 25 p. (2021; Zbl 07508497) Full Text: DOI
Shauer, Nathan; Desmond, Kenneth W.; Gordon, Peter A.; Liu, Fushen; Duarte, C. Armando A three-dimensional generalized finite element method for the simulation of wave propagation in fluid-filled fractures. (English) Zbl 1507.76206 Comput. Methods Appl. Mech. Eng. 386, Article ID 114136, 39 p. (2021). MSC: 76S05 65M06 76M10 PDFBibTeX XMLCite \textit{N. Shauer} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114136, 39 p. (2021; Zbl 1507.76206) Full Text: DOI
Sanchez-Rivadeneira, A. G.; Duarte, C. A. A high-order generalized finite element method for multiscale structural dynamics and wave propagation. (English) Zbl 1506.74440 Comput. Methods Appl. Mech. Eng. 384, Article ID 113934, 27 p. (2021). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{A. G. Sanchez-Rivadeneira} and \textit{C. A. Duarte}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113934, 27 p. (2021; Zbl 1506.74440) Full Text: DOI
Mirfatah, S. M.; Boroomand, B. On the simulation of image-based cellular materials in a meshless style. (English) Zbl 1524.65848 Comput. Math. Appl. 100, 99-125 (2021). MSC: 65N30 74S05 65N35 65D17 35J05 65K10 PDFBibTeX XMLCite \textit{S. M. Mirfatah} and \textit{B. Boroomand}, Comput. Math. Appl. 100, 99--125 (2021; Zbl 1524.65848) Full Text: DOI
Simon, Konrad; Behrens, Jörn Semi-Lagrangian subgrid reconstruction for advection-dominant multiscale problems with rough data. (English) Zbl 1464.76061 J. Sci. Comput. 87, No. 2, Paper No. 49, 33 p. (2021). MSC: 76M10 76R99 76M21 PDFBibTeX XMLCite \textit{K. Simon} and \textit{J. Behrens}, J. Sci. Comput. 87, No. 2, Paper No. 49, 33 p. (2021; Zbl 1464.76061) Full Text: DOI arXiv
Maier, Roland A high-order approach to elliptic multiscale problems with general unstructured coefficients. (English) Zbl 1468.65201 SIAM J. Numer. Anal. 59, No. 2, 1067-1089 (2021). MSC: 65N30 65N12 35J30 PDFBibTeX XMLCite \textit{R. Maier}, SIAM J. Numer. Anal. 59, No. 2, 1067--1089 (2021; Zbl 1468.65201) Full Text: DOI arXiv
Madureira, Alexandre L.; Sarkis, Marcus Hybrid localized spectral decomposition for multiscale problems. (English) Zbl 1468.65221 SIAM J. Numer. Anal. 59, No. 2, 829-863 (2021). MSC: 65N55 65N30 65N15 PDFBibTeX XMLCite \textit{A. L. Madureira} and \textit{M. Sarkis}, SIAM J. Numer. Anal. 59, No. 2, 829--863 (2021; Zbl 1468.65221) Full Text: DOI arXiv
Xu, Minqiang; Zhang, Lufang; Tohidi, Emran A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems. (English) Zbl 1460.65095 Appl. Numer. Math. 162, 124-136 (2021). MSC: 65L60 65L10 65L20 PDFBibTeX XMLCite \textit{M. Xu} et al., Appl. Numer. Math. 162, 124--136 (2021; Zbl 1460.65095) Full Text: DOI
Sanchez-Rivadeneira, A. G.; Duarte, C. A. A simple, first-order, well-conditioned, and optimally convergent generalized/extended FEM for two- and three-dimensional linear elastic fracture mechanics. (English) Zbl 1506.74439 Comput. Methods Appl. Mech. Eng. 372, Article ID 113388, 22 p. (2020). MSC: 74S05 65N30 74B05 74R10 PDFBibTeX XMLCite \textit{A. G. Sanchez-Rivadeneira} and \textit{C. A. Duarte}, Comput. Methods Appl. Mech. Eng. 372, Article ID 113388, 22 p. (2020; Zbl 1506.74439) Full Text: DOI
Bacuta, Constantin; Jacavage, Jacob Least squares preconditioning for mixed methods with nonconforming trial spaces. (English) Zbl 1465.65124 Appl. Anal. 99, No. 16, 2755-2775 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N22 65N55 65F10 65K10 PDFBibTeX XMLCite \textit{C. Bacuta} and \textit{J. Jacavage}, Appl. Anal. 99, No. 16, 2755--2775 (2020; Zbl 1465.65124) Full Text: DOI
Han, Yihui; Chen, Huangxin; Wang, Xiao-Ping; Xie, Xiaoping Extended HDG methods for second order elliptic interface problems. (English) Zbl 1452.65339 J. Sci. Comput. 84, No. 1, Paper No. 22, 29 p. (2020). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Han} et al., J. Sci. Comput. 84, No. 1, Paper No. 22, 29 p. (2020; Zbl 1452.65339) Full Text: DOI arXiv
Fonseca, Gabriela M.; Barros, Felício B.; de Oliveira, Thaianne S.; Monteiro, Humberto A. S.; Novelli, Larissa; Pitangueira, Roque L. S. 2-D crack propagation analysis using stable generalized finite element method with global-local enrichments. (English) Zbl 1464.74174 Eng. Anal. Bound. Elem. 118, 70-83 (2020). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{G. M. Fonseca} et al., Eng. Anal. Bound. Elem. 118, 70--83 (2020; Zbl 1464.74174) Full Text: DOI
Simon, Konrad; Behrens, Jörn Multiscale finite elements for transient advection-diffusion equations through advection-induced coordinates. (English) Zbl 1451.65204 Multiscale Model. Simul. 18, No. 2, 543-571 (2020). Reviewer: Pavel Burda (Praha) MSC: 65N30 34E13 86A08 76M10 76S05 PDFBibTeX XMLCite \textit{K. Simon} and \textit{J. Behrens}, Multiscale Model. Simul. 18, No. 2, 543--571 (2020; Zbl 1451.65204) Full Text: DOI
Sanchez-Rivadeneira, A. G.; Shauer, N.; Mazurowski, B.; Duarte, C. A. A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics. (English) Zbl 1442.74237 Comput. Methods Appl. Mech. Eng. 364, Article ID 112970, 37 p. (2020). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{A. G. Sanchez-Rivadeneira} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112970, 37 p. (2020; Zbl 1442.74237) Full Text: DOI
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael Multiscale-spectral GFEM and optimal oversampling. (English) Zbl 1442.65402 Comput. Methods Appl. Mech. Eng. 364, Article ID 112960, 28 p. (2020). MSC: 65N35 65N30 PDFBibTeX XMLCite \textit{I. Babuška} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112960, 28 p. (2020; Zbl 1442.65402) Full Text: DOI arXiv
Wang, Tao; Yang, Chaochao; Xie, Xiaoping A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. (English) Zbl 1436.49006 Comput. Methods Appl. Math. 20, No. 2, 379-393 (2020). MSC: 49J20 65M60 PDFBibTeX XMLCite \textit{T. Wang} et al., Comput. Methods Appl. Math. 20, No. 2, 379--393 (2020; Zbl 1436.49006) Full Text: DOI arXiv
Aragón, Alejandro M.; Liang, Bowen; Ahmadian, Hossein; Soghrati, Soheil On the stability and interpolating properties of the hierarchical interface-enriched finite element method. (English) Zbl 1439.65143 Comput. Methods Appl. Mech. Eng. 362, Article ID 112671, 21 p. (2020). MSC: 65N30 15A12 65F35 65N12 65N22 65N50 74S05 PDFBibTeX XMLCite \textit{A. M. Aragón} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112671, 21 p. (2020; Zbl 1439.65143) Full Text: DOI
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm. (English) Zbl 1436.74079 Comput. Methods Appl. Mech. Eng. 363, Article ID 112926, 20 p. (2020). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112926, 20 p. (2020; Zbl 1436.74079) Full Text: DOI
Zhang, Qinghui; Babuška, Ivo A stable generalized finite element method (SGFEM) of degree two for interface problems. (English) Zbl 1436.65192 Comput. Methods Appl. Mech. Eng. 363, Article ID 112889, 21 p. (2020). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{I. Babuška}, Comput. Methods Appl. Mech. Eng. 363, Article ID 112889, 21 p. (2020; Zbl 1436.65192) Full Text: DOI
Yang, Zhiqiang; Long, Chuanzhou; Sun, Yi A high-order three-scale reduced asymptotic approach for thermo-mechanical problems of nonlinear heterogeneous materials with multiple spatial scales. (English) Zbl 1472.74183 Eur. J. Mech., A, Solids 80, Article ID 103905, 22 p. (2020). MSC: 74Q05 74E05 74F05 74G10 PDFBibTeX XMLCite \textit{Z. Yang} et al., Eur. J. Mech., A, Solids 80, Article ID 103905, 22 p. (2020; Zbl 1472.74183) Full Text: DOI
Monteiro, H. A. S.; Novelli, L.; Fonseca, G. M.; Pitangueira, R. L. S.; Barros, F. B. A new approach for physically nonlinear analysis of continuum damage mechanics problems using the generalized/extended finite element method with global-local enrichment. (English) Zbl 1464.74192 Eng. Anal. Bound. Elem. 113, 277-295 (2020). MSC: 74S05 65N30 74A45 PDFBibTeX XMLCite \textit{H. A. S. Monteiro} et al., Eng. Anal. Bound. Elem. 113, 277--295 (2020; Zbl 1464.74192) Full Text: DOI
Zhao, Lina; Chung, Eric T. An analysis of the NLMC upscaling method for high contrast problems. (English) Zbl 1437.65207 J. Comput. Appl. Math. 367, Article ID 112480, 15 p. (2020). MSC: 65N30 76M10 74S05 65N15 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{E. T. Chung}, J. Comput. Appl. Math. 367, Article ID 112480, 15 p. (2020; Zbl 1437.65207) Full Text: DOI arXiv
Barreda, Manuel; Madureira, Alexandre L. A residual-free bubble formulation for nonlinear elliptic problems with oscillatory coefficients. (English) Zbl 1499.65644 Int. J. Comput. Math. 96, No. 7, 1461-1476 (2019). MSC: 65N30 65N12 35J60 35A01 35A02 PDFBibTeX XMLCite \textit{M. Barreda} and \textit{A. L. Madureira}, Int. J. Comput. Math. 96, No. 7, 1461--1476 (2019; Zbl 1499.65644) Full Text: DOI arXiv
Li, Qiuqi; Jiang, Lijian A multiscale virtual element method for elliptic problems in heterogeneous porous media. (English) Zbl 1452.65349 J. Comput. Phys. 388, 394-415 (2019). MSC: 65N30 76S05 76M10 65N55 65F55 65Z05 PDFBibTeX XMLCite \textit{Q. Li} and \textit{L. Jiang}, J. Comput. Phys. 388, 394--415 (2019; Zbl 1452.65349) Full Text: DOI
Engquist, Björn (ed.); Peterseim, Daniel (ed.) Computational multiscale methods. Abstracts from the workshop held July 28 – August 3, 2019. (English) Zbl 1450.00011 Oberwolfach Rep. 16, No. 3, 2099-2181 (2019). MSC: 00B05 00B25 65-06 65Mxx 35B27 65Nxx 70Fxx 74Qxx 76Axx 78Mxx PDFBibTeX XMLCite \textit{B. Engquist} (ed.) and \textit{D. Peterseim} (ed.), Oberwolfach Rep. 16, No. 3, 2099--2181 (2019; Zbl 1450.00011) Full Text: DOI
Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. A unified enrichment approach addressing blending and conditioning issues in enriched finite elements. (English) Zbl 1441.65088 Comput. Methods Appl. Mech. Eng. 349, 673-700 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{K. Agathos} et al., Comput. Methods Appl. Mech. Eng. 349, 673--700 (2019; Zbl 1441.65088) Full Text: DOI
Sanchez-Rivadeneira, A. G.; Duarte, C. A. A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics. (English) Zbl 1440.74438 Comput. Methods Appl. Mech. Eng. 345, 876-918 (2019). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{A. G. Sanchez-Rivadeneira} and \textit{C. A. Duarte}, Comput. Methods Appl. Mech. Eng. 345, 876--918 (2019; Zbl 1440.74438) Full Text: DOI
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. (English) Zbl 1440.74454 Comput. Methods Appl. Mech. Eng. 344, 538-568 (2019). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 344, 538--568 (2019; Zbl 1440.74454) Full Text: DOI
Klimczak, Marek; Cecot, Witold On Moore-Penrose pseudoinverse computation for stiffness matrices resulting from higher order approximation. (English) Zbl 1435.65046 Math. Probl. Eng. 2019, Article ID 5060397, 16 p. (2019). MSC: 65F05 15A09 65F20 PDFBibTeX XMLCite \textit{M. Klimczak} and \textit{W. Cecot}, Math. Probl. Eng. 2019, Article ID 5060397, 16 p. (2019; Zbl 1435.65046) Full Text: DOI
de Oliveira, Thaianne S.; Barros, Felício B.; Fonseca, Gabriela M.; Pitangueira, Roque L. S. 2-D fracture mechanics problems by SGFEM. (English) Zbl 1464.74170 Eng. Anal. Bound. Elem. 108, 279-294 (2019). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{T. S. de Oliveira} et al., Eng. Anal. Bound. Elem. 108, 279--294 (2019; Zbl 1464.74170) Full Text: DOI
Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen A multiscale finite element method for the Schrödinger equation with multiscale potentials. (English) Zbl 1428.35111 SIAM J. Sci. Comput. 41, No. 5, B1115-B1136 (2019). MSC: 35J10 65M60 PDFBibTeX XMLCite \textit{J. Chen} et al., SIAM J. Sci. Comput. 41, No. 5, B1115--B1136 (2019; Zbl 1428.35111) Full Text: DOI arXiv
Bacuta, Constantin; Jacavage, Jacob A non-conforming saddle point least squares approach for an elliptic interface problem. (English) Zbl 1421.74094 Comput. Methods Appl. Math. 19, No. 3, 399-414 (2019). MSC: 74S05 74B05 65N22 65N55 PDFBibTeX XMLCite \textit{C. Bacuta} and \textit{J. Jacavage}, Comput. Methods Appl. Math. 19, No. 3, 399--414 (2019; Zbl 1421.74094) Full Text: DOI arXiv
Fischer, Julian The choice of representative volumes in the approximation of effective properties of random materials. (English) Zbl 1431.65201 Arch. Ration. Mech. Anal. 234, No. 2, 635-726 (2019). Reviewer: Petr Sváček (Praha) MSC: 65N15 35B27 65N30 35J25 60H25 35R60 PDFBibTeX XMLCite \textit{J. Fischer}, Arch. Ration. Mech. Anal. 234, No. 2, 635--726 (2019; Zbl 1431.65201) Full Text: DOI arXiv
Guo, Ruchi; Lin, Tao A higher degree immersed finite element method based on a Cauchy extension for elliptic interface problems. (English) Zbl 1420.65122 SIAM J. Numer. Anal. 57, No. 4, 1545-1573 (2019). MSC: 65N30 35R05 35J25 65N12 PDFBibTeX XMLCite \textit{R. Guo} and \textit{T. Lin}, SIAM J. Numer. Anal. 57, No. 4, 1545--1573 (2019; Zbl 1420.65122) Full Text: DOI
Li, Shuangping; Zhang, Zhiwen Computing eigenvalues and eigenfunctions of Schrödinger equations using a model reduction approach. (English) Zbl 1475.65183 Commun. Comput. Phys. 24, No. 4, 1073-1100 (2018). MSC: 65N25 35J25 65N30 35J10 PDFBibTeX XMLCite \textit{S. Li} and \textit{Z. Zhang}, Commun. Comput. Phys. 24, No. 4, 1073--1100 (2018; Zbl 1475.65183) Full Text: DOI Link
Albrecht, Clelia; Klaar, Constanze; Pask, John Ernest; Schweitzer, Marc Alexander; Sukumar, N.; Ziegenhagel, Albert Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem. (English) Zbl 1440.65163 Comput. Methods Appl. Mech. Eng. 342, 224-239 (2018). MSC: 65N25 81Q05 PDFBibTeX XMLCite \textit{C. Albrecht} et al., Comput. Methods Appl. Mech. Eng. 342, 224--239 (2018; Zbl 1440.65163) Full Text: DOI arXiv
Li, H.; Duarte, C. A. A two-scale generalized finite element method for parallel simulations of spot welds in large structures. (English) Zbl 1440.74417 Comput. Methods Appl. Mech. Eng. 337, 28-65 (2018). MSC: 74S05 74F05 PDFBibTeX XMLCite \textit{H. Li} and \textit{C. A. Duarte}, Comput. Methods Appl. Mech. Eng. 337, 28--65 (2018; Zbl 1440.74417) Full Text: DOI
Chamoin, Ludovic; Legoll, Frédéric A posteriori error estimation and adaptive strategy for the control of MsFEM computations. (English) Zbl 1440.65191 Comput. Methods Appl. Mech. Eng. 336, 1-38 (2018). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{F. Legoll}, Comput. Methods Appl. Mech. Eng. 336, 1--38 (2018; Zbl 1440.65191) Full Text: DOI arXiv
Fries, T. P. Higher-order conformal decomposition FEM (CDFEM). (English) Zbl 1439.65164 Comput. Methods Appl. Mech. Eng. 328, 75-98 (2018). MSC: 65N30 65D17 PDFBibTeX XMLCite \textit{T. P. Fries}, Comput. Methods Appl. Mech. Eng. 328, 75--98 (2018; Zbl 1439.65164) Full Text: DOI arXiv
Chaumont-Frelet, T.; Pardo, D.; Rodríguez-Rozas, Á. Finite element simulations of logging-while-drilling and extra-deep azimuthal resistivity measurements using non-fitting grids. (English) Zbl 1406.65107 Comput. Geosci. 22, No. 5, 1161-1174 (2018). MSC: 65N30 78A25 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} et al., Comput. Geosci. 22, No. 5, 1161--1174 (2018; Zbl 1406.65107) Full Text: DOI HAL
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. (English) Zbl 1397.65229 J. Sci. Comput. 76, No. 2, 1055-1077 (2018). MSC: 65N08 65N12 65N50 PDFBibTeX XMLCite \textit{F. Cao} et al., J. Sci. Comput. 76, No. 2, 1055--1077 (2018; Zbl 1397.65229) Full Text: DOI
Chaumont-Frelet, Théophile; Nicaise, Serge; Pardo, David Finite element approximation of electromagnetic fields using nonfitting meshes for geophysics. (English) Zbl 1397.65231 SIAM J. Numer. Anal. 56, No. 4, 2288-2321 (2018). Reviewer: Carlos A. De Moura (São Joã del-Rei) MSC: 65N12 65N15 65N30 35Q61 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} et al., SIAM J. Numer. Anal. 56, No. 4, 2288--2321 (2018; Zbl 1397.65231) Full Text: DOI
Buhr, Andreas; Smetana, Kathrin Randomized local model order reduction. (English) Zbl 1394.65135 SIAM J. Sci. Comput. 40, No. 4, A2120-A2151 (2018). MSC: 65N15 65N12 65N55 65N30 65C20 65N25 PDFBibTeX XMLCite \textit{A. Buhr} and \textit{K. Smetana}, SIAM J. Sci. Comput. 40, No. 4, A2120--A2151 (2018; Zbl 1394.65135) Full Text: DOI arXiv
Feng, Xiaobing; Neilan, Michael; Schnake, Stefan Interior penalty discontinuous Galerkin methods for second order linear non-divergence form elliptic pdes. (English) Zbl 1398.65298 J. Sci. Comput. 74, No. 3, 1651-1676 (2018). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Sci. Comput. 74, No. 3, 1651--1676 (2018; Zbl 1398.65298) Full Text: DOI arXiv
Babuška, Ivo; Banerjee, Uday; Kergrene, Kenan Strongly stable generalized finite element method: application to interface problems. (English) Zbl 1439.74385 Comput. Methods Appl. Mech. Eng. 327, 58-92 (2017). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{I. Babuška} et al., Comput. Methods Appl. Mech. Eng. 327, 58--92 (2017; Zbl 1439.74385) Full Text: DOI
Babuška, Ivo; Soane, Ana Maria; Suri, Manil The computational modeling of problems on domains with small holes. (English) Zbl 1439.74163 Comput. Methods Appl. Mech. Eng. 322, 563-589 (2017). MSC: 74K15 65N30 74S05 PDFBibTeX XMLCite \textit{I. Babuška} et al., Comput. Methods Appl. Mech. Eng. 322, 563--589 (2017; Zbl 1439.74163) Full Text: DOI
Elfverson, Daniel; Larson, Mats G.; Målqvist, Axel Multiscale methods for problems with complex geometry. (English) Zbl 1439.65161 Comput. Methods Appl. Mech. Eng. 321, 103-123 (2017). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{D. Elfverson} et al., Comput. Methods Appl. Mech. Eng. 321, 103--123 (2017; Zbl 1439.65161) Full Text: DOI arXiv
Majeed, M.; Cirak, F. Isogeometric analysis using manifold-based smooth basis functions. (English) Zbl 1439.74447 Comput. Methods Appl. Mech. Eng. 316, 547-567 (2017). MSC: 74S05 65N30 53Z05 65D17 PDFBibTeX XMLCite \textit{M. Majeed} and \textit{F. Cirak}, Comput. Methods Appl. Mech. Eng. 316, 547--567 (2017; Zbl 1439.74447) Full Text: DOI arXiv
Fries, T. P.; Omerović, S.; Schöllhammer, D.; Steidl, J. Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements. (English) Zbl 1439.65212 Comput. Methods Appl. Mech. Eng. 313, 759-784 (2017). MSC: 65N50 PDFBibTeX XMLCite \textit{T. P. Fries} et al., Comput. Methods Appl. Mech. Eng. 313, 759--784 (2017; Zbl 1439.65212) Full Text: DOI arXiv
Schweitzer, Marc Alexander; Ziegenhagel, Albert Embedding enriched partition of unity approximations in finite element simulations. (English) Zbl 1404.65278 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VIII. Selected contributions based on the presentations at the 8th international workshop, Bonn, Germany, September 7–9, 2015. Cham: Springer (ISBN 978-3-319-51953-1/hbk; 978-3-319-51954-8/ebook). Lecture Notes in Computational Science and Engineering 115, 199-208 (2017). MSC: 65N30 65N75 PDFBibTeX XMLCite \textit{M. A. Schweitzer} and \textit{A. Ziegenhagel}, Lect. Notes Comput. Sci. Eng. 115, 199--208 (2017; Zbl 1404.65278) Full Text: DOI
Schweitzer, Marc Alexander; Wu, Sa Evaluation of local multiscale approximation spaces for partition of unity methods. (English) Zbl 1446.74081 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VIII. Selected contributions based on the presentations at the 8th international workshop, Bonn, Germany, September 7–9, 2015. Cham: Springer. Lect. Notes Comput. Sci. Eng. 115, 167-198 (2017). MSC: 74A40 74S05 74F05 74B05 PDFBibTeX XMLCite \textit{M. A. Schweitzer} and \textit{S. Wu}, Lect. Notes Comput. Sci. Eng. 115, 167--198 (2017; Zbl 1446.74081) Full Text: DOI
Nguyen-Thoi, T.; Rabczuk, T.; Ho-Huu, V.; Le-Anh, L.; Dang-Trung, H.; Vo-Duy, T. An extended cell-based smoothed three-node Mindlin plate element (XCS-MIN3) for free vibration analysis of cracked FGM plates. (English) Zbl 1404.74167 Int. J. Comput. Methods 14, No. 2, Article ID 1750011, 26 p. (2017). MSC: 74S05 74H45 65N30 74K20 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Int. J. Comput. Methods 14, No. 2, Article ID 1750011, 26 p. (2017; Zbl 1404.74167) Full Text: DOI
Svenning, Erik; Larsson, Fredrik; Fagerström, Martin Two-scale modeling of fracturing solids using a smeared macro-to-micro discontinuity transition. (English) Zbl 1386.74129 Comput. Mech. 60, No. 4, 627-641 (2017). MSC: 74R10 74S05 65N30 74Q05 PDFBibTeX XMLCite \textit{E. Svenning} et al., Comput. Mech. 60, No. 4, 627--641 (2017; Zbl 1386.74129) Full Text: DOI
Weymuth, Monika; Sauter, Stefan; Repin, Sergey A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. (English) Zbl 1380.65391 Comput. Methods Appl. Math. 17, No. 3, 515-531 (2017). MSC: 65N30 65N15 35J25 35R05 PDFBibTeX XMLCite \textit{M. Weymuth} et al., Comput. Methods Appl. Math. 17, No. 3, 515--531 (2017; Zbl 1380.65391) 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
Neilan, Michael Convergence analysis of a finite element method for second order non-variational elliptic problems. (English) Zbl 1375.65144 J. Numer. Math. 25, No. 3, 169-184 (2017). MSC: 65N12 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{M. Neilan}, J. Numer. Math. 25, No. 3, 169--184 (2017; Zbl 1375.65144) Full Text: DOI
Druskin, Vladimir; Mamonov, Alexander V.; Zaslavsky, Mikhail Multiscale S-fraction reduced-order models for massive wavefield simulations. (English) Zbl 1422.65231 Multiscale Model. Simul. 15, No. 1, 445-475 (2017). MSC: 65M20 35L52 65M06 74J05 74S30 PDFBibTeX XMLCite \textit{V. Druskin} et al., Multiscale Model. Simul. 15, No. 1, 445--475 (2017; Zbl 1422.65231) Full Text: DOI arXiv
Feng, Xiaobing; Hennings, Lauren; Neilan, Michael Finite element methods for second order linear elliptic partial differential equations in non-divergence form. (English) Zbl 1364.65247 Math. Comput. 86, No. 307, 2025-2051 (2017). MSC: 65N30 65N12 35J25 65N15 PDFBibTeX XMLCite \textit{X. Feng} et al., Math. Comput. 86, No. 307, 2025--2051 (2017; Zbl 1364.65247) Full Text: DOI arXiv
Owhadi, Houman Multigrid with rough coefficients and multiresolution operator decomposition from hierarchical information games. (English) Zbl 1358.65071 SIAM Rev. 59, No. 1, 99-149 (2017). MSC: 65N55 65N75 65Y20 91A23 65T60 PDFBibTeX XMLCite \textit{H. Owhadi}, SIAM Rev. 59, No. 1, 99--149 (2017; Zbl 1358.65071) Full Text: DOI arXiv
Lee, Chak Shing; Sheen, Dongwoo Nonconforming generalized multiscale finite element methods. (English) Zbl 1382.65411 J. Comput. Appl. Math. 311, 215-229 (2017). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{C. S. Lee} and \textit{D. Sheen}, J. Comput. Appl. Math. 311, 215--229 (2017; Zbl 1382.65411) Full Text: DOI
Zhang, Qinghui; Babuška, Ivo; Banerjee, Uday Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities. (English) Zbl 1439.74479 Comput. Methods Appl. Mech. Eng. 311, 476-502 (2016). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 311, 476--502 (2016; Zbl 1439.74479) Full Text: DOI
Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture. (English) Zbl 1436.74064 Comput. Methods Appl. Mech. Eng. 306, 19-46 (2016). MSC: 74S05 74R10 65N30 74A45 PDFBibTeX XMLCite \textit{K. Agathos} et al., Comput. Methods Appl. Mech. Eng. 306, 19--46 (2016; Zbl 1436.74064) Full Text: DOI
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday Stable generalized finite element method and associated iterative schemes; application to interface problems. (English) Zbl 1425.74472 Comput. Methods Appl. Mech. Eng. 305, 1-36 (2016). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{K. Kergrene} et al., Comput. Methods Appl. Mech. Eng. 305, 1--36 (2016; Zbl 1425.74472) Full Text: DOI arXiv
Svenning, Erik; Fagerström, Martin; Larsson, Fredrik Computational homogenization of microfractured continua using weakly periodic boundary conditions. (English) Zbl 1425.74394 Comput. Methods Appl. Mech. Eng. 299, 1-21 (2016). MSC: 74Q05 74S05 74R10 65N30 PDFBibTeX XMLCite \textit{E. Svenning} et al., Comput. Methods Appl. Mech. Eng. 299, 1--21 (2016; Zbl 1425.74394) Full Text: DOI
Fan, Huo; Zheng, Hong; He, Siming; Jiang, Zhongming A novel numerical manifold method with derivative degrees of freedom and without linear dependence. (English) Zbl 1403.74299 Eng. Anal. Bound. Elem. 64, 19-37 (2016). MSC: 74S30 65N99 PDFBibTeX XMLCite \textit{H. Fan} et al., Eng. Anal. Bound. Elem. 64, 19--37 (2016; Zbl 1403.74299) Full Text: DOI
Fu, Ping; Liu, Hui; Chu, Xihua; Xu, Yuanjie A multiscale computational formulation for gradient elasticity problems of heterogeneous structures. (English) Zbl 1359.74032 Int. J. Comput. Methods 13, No. 5, Article ID 1650030, 24 p. (2016). MSC: 74B05 PDFBibTeX XMLCite \textit{P. Fu} et al., Int. J. Comput. Methods 13, No. 5, Article ID 1650030, 24 p. (2016; Zbl 1359.74032) Full Text: DOI
Gupta, Varun; Duarte, C. Armando On the enrichment zone size for optimal convergence rate of the generalized/extended finite element method. (English) Zbl 1359.65253 Comput. Math. Appl. 72, No. 3, 481-493 (2016). MSC: 65N30 74S05 74R10 PDFBibTeX XMLCite \textit{V. Gupta} and \textit{C. A. Duarte}, Comput. Math. Appl. 72, No. 3, 481--493 (2016; Zbl 1359.65253) Full Text: DOI
Ming, Pingbing; Xu, Xianmin A multiscale finite element method for oscillating Neumann problem on rough domain. (English) Zbl 1388.74103 Multiscale Model. Simul. 14, No. 4, 1276-1300 (2016). MSC: 74S05 65N30 35B27 35J05 35J25 74Q05 PDFBibTeX XMLCite \textit{P. Ming} and \textit{X. Xu}, Multiscale Model. Simul. 14, No. 4, 1276--1300 (2016; Zbl 1388.74103) Full Text: DOI arXiv
Møyner, Olav; Lie, Knut-Andreas A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids. (English) Zbl 1349.76824 J. Comput. Phys. 304, 46-71 (2016). MSC: 76S05 76M12 PDFBibTeX XMLCite \textit{O. Møyner} and \textit{K.-A. Lie}, J. Comput. Phys. 304, 46--71 (2016; Zbl 1349.76824) Full Text: DOI
Hou, Thomas Y.; Liu, Pengfei Optimal local multi-scale basis functions for linear elliptic equations with rough coefficients. (English) Zbl 1333.65131 Discrete Contin. Dyn. Syst. 36, No. 8, 4451-4476 (2016). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{P. Liu}, Discrete Contin. Dyn. Syst. 36, No. 8, 4451--4476 (2016; Zbl 1333.65131) Full Text: DOI arXiv
Cecot, W.; Oleksy, M. High order FEM for multigrid homogenization. (English) Zbl 1443.65317 Comput. Math. Appl. 70, No. 7, 1391-1400 (2015). MSC: 65N30 65N55 35B27 PDFBibTeX XMLCite \textit{W. Cecot} and \textit{M. Oleksy}, Comput. Math. Appl. 70, No. 7, 1391--1400 (2015; Zbl 1443.65317) Full Text: DOI