Armstrong, Scott; Hannukainen, Antti; Kuusi, Tuomo; Mourrat, Jean-Christophe An iterative method for elliptic problems with rapidly oscillating coefficients. (English) Zbl 1481.65251 ESAIM, Math. Model. Numer. Anal. 55, No. 1, 37-55 (2021). MSC: 65N55 65N30 65N22 65F10 35B27 35J15 PDFBibTeX XMLCite \textit{S. Armstrong} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 1, 37--55 (2021; Zbl 1481.65251) Full Text: DOI arXiv
Kornhuber, Ralf; Yserentant, Harry Numerical homogenization of elliptic multiscale problems by subspace decomposition. (English) Zbl 1352.65521 Multiscale Model. Simul. 14, No. 3, 1017-1036 (2016). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{R. Kornhuber} and \textit{H. Yserentant}, Multiscale Model. Simul. 14, No. 3, 1017--1036 (2016; Zbl 1352.65521) Full Text: DOI
Bebendorf, Mario Low-rank approximation of elliptic boundary value problems with high-contrast coefficients. (English) Zbl 1335.35030 SIAM J. Math. Anal. 48, No. 2, 932-949 (2016). MSC: 35J15 35J08 35C20 PDFBibTeX XMLCite \textit{M. Bebendorf}, SIAM J. Math. Anal. 48, No. 2, 932--949 (2016; Zbl 1335.35030) 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
Yeh, Li-Ming Pointwise estimate for elliptic equations in periodic perforated domains. (English) Zbl 1317.35023 Commun. Pure Appl. Anal. 14, No. 5, 1961-1986 (2015). MSC: 35J05 35J15 35J25 35B27 PDFBibTeX XMLCite \textit{L.-M. Yeh}, Commun. Pure Appl. Anal. 14, No. 5, 1961--1986 (2015; Zbl 1317.35023) Full Text: DOI
Sviercoski, R. F.; Popov, P.; Margenov, S. An analytical coarse grid operator applied to a multiscale multigrid method. (English) Zbl 1325.76138 J. Comput. Appl. Math. 287, 207-219 (2015). MSC: 76M25 65N55 76S05 PDFBibTeX XMLCite \textit{R. F. Sviercoski} et al., J. Comput. Appl. Math. 287, 207--219 (2015; Zbl 1325.76138) Full Text: DOI
Abdulle, A.; Nonnenmacher, A. Adaptive finite element heterogeneous multiscale method for homogenization problems. (English) Zbl 1230.74165 Comput. Methods Appl. Mech. Eng. 200, No. 37-40, 2710-2726 (2011). MSC: 74S05 74Q05 74E05 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{A. Nonnenmacher}, Comput. Methods Appl. Mech. Eng. 200, No. 37--40, 2710--2726 (2011; Zbl 1230.74165) Full Text: DOI
Li, Jian A multiscale finite element method for optimal control problems governed by the elliptic homogenization equations. (English) Zbl 1201.65208 Comput. Math. Appl. 60, No. 3, 390-398 (2010). MSC: 65N30 49M25 PDFBibTeX XMLCite \textit{J. Li}, Comput. Math. Appl. 60, No. 3, 390--398 (2010; Zbl 1201.65208) Full Text: DOI
Runborg, Olof Wavelets and wavelet based numerical homogenization. (English) Zbl 1159.65373 Engquist, Björn (ed.) et al., Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Berlin: Springer (ISBN 978-3-540-88856-7/pbk; 978-3-540-88857-4/ebook). Lecture Notes in Computational Science and Engineering 66, 195-235 (2009). MSC: 65T60 42C40 PDFBibTeX XMLCite \textit{O. Runborg}, Lect. Notes Comput. Sci. Eng. 66, 195--235 (2009; Zbl 1159.65373) Full Text: DOI
de Leon, Doreen A new wavelet multigrid method. (English) Zbl 1146.65074 J. Comput. Appl. Math. 220, No. 1-2, 674-685 (2008). MSC: 65N06 65N55 65F10 65T60 35R05 35J25 PDFBibTeX XMLCite \textit{D. de Leon}, J. Comput. Appl. Math. 220, No. 1--2, 674--685 (2008; Zbl 1146.65074) Full Text: DOI
Graham, I. G.; Lechner, P. O.; Scheichl, R. Domain decomposition for multiscale PDEs. (English) Zbl 1141.65084 Numer. Math. 106, No. 4, 589-626 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65N55 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{I. G. Graham} et al., Numer. Math. 106, No. 4, 589--626 (2007; Zbl 1141.65084) Full Text: DOI
Samaey, Giovanni; Kevrekidis, Ioannis G.; Roose, Dirk Patch dynamics with buffers for homogenization problems. (English) Zbl 1092.65074 J. Comput. Phys. 213, No. 1, 264-287 (2006). Reviewer: Natesan Srinivasan (Assam) MSC: 65M06 35B27 35K15 65M15 PDFBibTeX XMLCite \textit{G. Samaey} et al., J. Comput. Phys. 213, No. 1, 264--287 (2006; Zbl 1092.65074) Full Text: DOI arXiv
Ming, Pingbing; Yue, Xingye Numerical methods for multiscale elliptic problems. (English) Zbl 1092.65102 J. Comput. Phys. 214, No. 1, 421-445 (2006). Reviewer: Natesan Srinivasan (Assam) MSC: 65N30 35B27 35J25 65N15 PDFBibTeX XMLCite \textit{P. Ming} and \textit{X. Yue}, J. Comput. Phys. 214, No. 1, 421--445 (2006; Zbl 1092.65102) Full Text: DOI
Sauter, S. A.; Warnke, R. Composite finite elements for elliptic boundary value problems with discontinuous coefficients. (English) Zbl 1284.65173 Computing 77, No. 1, 29-55 (2006). MSC: 65N30 35J20 65N15 PDFBibTeX XMLCite \textit{S. A. Sauter} and \textit{R. Warnke}, Computing 77, No. 1, 29--55 (2006; Zbl 1284.65173) Full Text: DOI
Abdulle, Assyr; E, Weinan Finite difference heterogeneous multi-scale method for homogenization problems. (English) Zbl 1034.65067 J. Comput. Phys. 191, No. 1, 18-39 (2003). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M06 35K15 35B27 65M12 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{W. E}, J. Comput. Phys. 191, No. 1, 18--39 (2003; Zbl 1034.65067) Full Text: DOI
Neuss-Radu, Maria The boundary behavior of a composite material. (English) Zbl 0985.35092 M2AN, Math. Model. Numer. Anal. 35, No. 3, 407-435 (2001). MSC: 35Q72 35B27 74E30 35B40 PDFBibTeX XMLCite \textit{M. Neuss-Radu}, M2AN, Math. Model. Numer. Anal. 35, No. 3, 407--435 (2001; Zbl 0985.35092) Full Text: DOI Numdam EuDML