Conti, Sergio; Rumpf, Martin; Simon, Stefan Two-scale elastic shape optimization for additive manufacturing. (English) Zbl 1514.65167 Multiscale Model. Simul. 21, No. 1, 119-142 (2023). MSC: 65N30 65N55 74P05 74Q20 PDFBibTeX XMLCite \textit{S. Conti} et al., Multiscale Model. Simul. 21, No. 1, 119--142 (2023; Zbl 1514.65167) Full Text: DOI arXiv
Chen, C. S.; Noorizadegan, Amir; Young, D. L.; Chen, Chuin-Shan On the determination of locating the source points of the MFS using effective condition number. (English) Zbl 1505.65307 J. Comput. Appl. Math. 423, Article ID 114955, 15 p. (2023). MSC: 65N80 65N85 65F35 65F20 65N20 65N15 35J05 31A30 PDFBibTeX XMLCite \textit{C. S. Chen} et al., J. Comput. Appl. Math. 423, Article ID 114955, 15 p. (2023; Zbl 1505.65307) Full Text: DOI
Lee, Seunggyu; Yoon, Sungha; Lee, Chaeyoung; Kim, Sangkwon; Kim, Hyundong; Yang, Junxiang; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok Effective time step analysis for the Allen-Cahn equation with a high-order polynomial free energy. (English) Zbl 07769307 Int. J. Numer. Methods Eng. 123, No. 19, 4726-4743 (2022). MSC: 65M06 65M12 65M15 41A58 41A25 35L35 35Q35 PDFBibTeX XMLCite \textit{S. Lee} et al., Int. J. Numer. Methods Eng. 123, No. 19, 4726--4743 (2022; Zbl 07769307) Full Text: DOI
Abdulle, Assyr; Arjmand, Doghonay; Paganoni, Edoardo A parabolic local problem with exponential decay of the resonance error for numerical homogenization. (English) Zbl 07466873 Math. Models Methods Appl. Sci. 31, No. 13, 2733-2772 (2021). MSC: 65-XX 35B27 76M50 35K20 65L70 PDFBibTeX XMLCite \textit{A. Abdulle} et al., Math. Models Methods Appl. Sci. 31, No. 13, 2733--2772 (2021; Zbl 07466873) Full Text: DOI arXiv
Nie, Yinghao; Li, Zheng; Cheng, Gengdong Efficient prediction of the effective nonlinear properties of porous material by FEM-cluster based analysis (FCA). (English) Zbl 1506.74338 Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021). MSC: 74Q20 74S05 65N30 74F10 PDFBibTeX XMLCite \textit{Y. Nie} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021; Zbl 1506.74338) Full Text: DOI
Song, Junpeng; Rui, Hongxing A reduced-order finite element method based on POD for the incompressible miscible displacement problem. (English) Zbl 1524.76471 Comput. Math. Appl. 98, 99-117 (2021). MSC: 76S05 76M10 65M60 65N30 65M15 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Comput. Math. Appl. 98, 99--117 (2021; Zbl 1524.76471) Full Text: DOI
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. (English) Zbl 1496.65192 Multiscale Model. Simul. 19, No. 3, 1167-1189 (2021). MSC: 65M75 35B27 37M25 60H35 65P10 65M15 76R50 35Q31 PDFBibTeX XMLCite \textit{Z. Wang} et al., Multiscale Model. Simul. 19, No. 3, 1167--1189 (2021; Zbl 1496.65192) Full Text: DOI arXiv
Dong, Hao; Nie, Yufeng; Cui, Junzhi; Kou, Wenbo; Zou, Minqiang; Han, Junyan; Guan, Xiaofei; Yang, Zihao A wavelet-based learning approach assisted multiscale analysis for estimating the effective thermal conductivities of particulate composites. (English) Zbl 1506.74337 Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021). MSC: 74Q20 65T60 PDFBibTeX XMLCite \textit{H. Dong} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021; Zbl 1506.74337) Full Text: DOI
Hart, Kenneth A.; Rimoli, Julian J. Generation of statistically representative microstructures with direct grain geometry control. (English) Zbl 1506.74406 Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020). MSC: 74S05 74M25 65N30 74Q20 PDFBibTeX XMLCite \textit{K. A. Hart} and \textit{J. J. Rimoli}, Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020; Zbl 1506.74406) Full Text: DOI
Wu, Ling; Zulueta, Kepa; Major, Zoltan; Arriaga, Aitor; Noels, Ludovic Bayesian inference of non-linear multiscale model parameters accelerated by a deep neural network. (English) Zbl 1441.74192 Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020). MSC: 74Q20 62F15 62M45 65Z05 PDFBibTeX XMLCite \textit{L. Wu} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020; Zbl 1441.74192) Full Text: DOI Link
Furer, Joshua; Ponte Castañeda, Pedro A symmetric fully optimized second-order method for nonlinear homogenization. (English) Zbl 07776820 ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222-254 (2018). MSC: 49M29 49S05 65Z05 74D10 74B20 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{J. Furer} and \textit{P. Ponte Castañeda}, ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222--254 (2018; Zbl 07776820) Full Text: DOI
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. (English) Zbl 1404.65209 SIAM J. Numer. Anal. 56, No. 4, 2322-2344 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 35Q84 35R60 35B27 60H35 65P10 76R99 65M15 PDFBibTeX XMLCite \textit{Z. Wang} et al., SIAM J. Numer. Anal. 56, No. 4, 2322--2344 (2018; Zbl 1404.65209) Full Text: DOI arXiv
Ju, X.; Mahnken, R. Model adaptivity on effective elastic properties coupled with adaptive FEM. (English) Zbl 1439.74428 Comput. Methods Appl. Mech. Eng. 322, 208-237 (2017). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 322, 208--237 (2017; Zbl 1439.74428) Full Text: DOI
Hajej, A. Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations. (English) Zbl 1366.65082 Numer. Algorithms 73, No. 3, 839-868 (2016). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 35F21 35B27 49L25 65M08 65M12 65P10 37H10 PDFBibTeX XMLCite \textit{A. Hajej}, Numer. Algorithms 73, No. 3, 839--868 (2016; Zbl 1366.65082) Full Text: DOI
Das, Sonjoy; Chakravarty, Sourish Predictive algorithm for detection of microcracks from macroscale observables. (English) Zbl 1383.74095 SIAM/ASA J. Uncertain. Quantif. 4, 660-707 (2016). MSC: 74S60 65N21 65C50 74Q20 90C26 90C90 PDFBibTeX XMLCite \textit{S. Das} and \textit{S. Chakravarty}, SIAM/ASA J. Uncertain. Quantif. 4, 660--707 (2016; Zbl 1383.74095) Full Text: DOI
Abdulle, Assyr; Pouchon, Timothée A priori error analysis of the finite element heterogeneous multiscale method for the wave equation over long time. (English) Zbl 1382.65303 SIAM J. Numer. Anal. 54, No. 3, 1507-1534 (2016). MSC: 65M60 65M15 35B27 35B10 35B40 35L05 74Q10 74Q15 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{T. Pouchon}, SIAM J. Numer. Anal. 54, No. 3, 1507--1534 (2016; Zbl 1382.65303) Full Text: DOI
Gloria, Antoine; Habibi, Zakaria Reduction in the resonance error in numerical homogenization. II: Correctors and extrapolation. (English) Zbl 1335.65086 Found. Comput. Math. 16, No. 1, 217-296 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65N15 65N12 35B27 PDFBibTeX XMLCite \textit{A. Gloria} and \textit{Z. Habibi}, Found. Comput. Math. 16, No. 1, 217--296 (2016; Zbl 1335.65086) Full Text: DOI arXiv Link
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method. (English) Zbl 1423.74806 Comput. Methods Appl. Mech. Eng. 297, 258-291 (2015). MSC: 74Q20 74S05 65N30 65N35 PDFBibTeX XMLCite \textit{J. Vondřejc} et al., Comput. Methods Appl. Mech. Eng. 297, 258--291 (2015; Zbl 1423.74806) Full Text: DOI arXiv
Geng, Xue; Wang, Weiguo On the condition mumbers for \(*\)-Sylvester matrix equation. (Chinese. English summary) Zbl 1349.65152 Period. Ocean Univ. China 45, No. 6, 132-138 (2015). MSC: 65F35 15A24 15A12 65F30 PDFBibTeX XMLCite \textit{X. Geng} and \textit{W. Wang}, Period. Ocean Univ. China 45, No. 6, 132--138 (2015; Zbl 1349.65152) Full Text: DOI
Eigel, Martin; Peterseim, Daniel Simulation of composite materials by a network FEM with error control. (English) Zbl 1309.74069 Comput. Methods Appl. Math. 15, No. 1, 21-37 (2015). MSC: 74S05 65N15 65N30 74Q20 PDFBibTeX XMLCite \textit{M. Eigel} and \textit{D. Peterseim}, Comput. Methods Appl. Math. 15, No. 1, 21--37 (2015; Zbl 1309.74069) Full Text: DOI Link
Chen, D. J. L. The efficiency of singly-implicit Runge-Kutta methods for stiff differential equations. (English) Zbl 1291.65199 Numer. Algorithms 65, No. 3, 533-554 (2014). MSC: 65L04 65L05 65L06 34A34 65L20 65L70 65L50 PDFBibTeX XMLCite \textit{D. J. L. Chen}, Numer. Algorithms 65, No. 3, 533--554 (2014; Zbl 1291.65199) Full Text: DOI
Abdulle, Assyr; Bai, Yun Adaptive reduced basis finite element heterogeneous multiscale method. (English) Zbl 1286.74088 Comput. Methods Appl. Mech. Eng. 257, 203-220 (2013). MSC: 74Q20 74S05 65N30 35B27 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{Y. Bai}, Comput. Methods Appl. Mech. Eng. 257, 203--220 (2013; Zbl 1286.74088) Full Text: DOI Link
Peterseim, Daniel; Carstensen, Carsten Finite element network approximation of conductivity in particle composites. (English) Zbl 1329.74284 Numer. Math. 124, No. 1, 73-97 (2013). MSC: 74S05 65N30 74Q20 PDFBibTeX XMLCite \textit{D. Peterseim} and \textit{C. Carstensen}, Numer. Math. 124, No. 1, 73--97 (2013; Zbl 1329.74284) Full Text: DOI Link
Peterseim, Daniel Robustness of finite element simulations in densely packed random particle composites. (English) Zbl 1262.35010 Netw. Heterog. Media 7, No. 1, 113-126 (2012). MSC: 35A35 35B65 35J05 65N15 65N30 74Q20 PDFBibTeX XMLCite \textit{D. Peterseim}, Netw. Heterog. Media 7, No. 1, 113--126 (2012; Zbl 1262.35010) Full Text: DOI
Zeng, Guang; Huang, Jin; Cheng, Pan; Li, Zi-Cai A new stability analysis for solving biharmonic equations by finite difference methods. (English) Zbl 1259.65163 J. Comput. Anal. Appl. 14, No. 1, 113-131 (2012). Reviewer: Gunther Schmidt (Berlin) MSC: 65N12 65N06 65N15 35J40 PDFBibTeX XMLCite \textit{G. Zeng} et al., J. Comput. Anal. Appl. 14, No. 1, 113--131 (2012; Zbl 1259.65163)
Ziegler, Martin Real computation with least discrete advice: a complexity theory of nonuniform computability with applications to effective linear algebra. (English) Zbl 1259.03059 Ann. Pure Appl. Logic 163, No. 8, 1108-1139 (2012). Reviewer: Daniel Graça (Faro) MSC: 03D78 03D45 03D15 68Q17 65F99 PDFBibTeX XMLCite \textit{M. Ziegler}, Ann. Pure Appl. Logic 163, No. 8, 1108--1139 (2012; Zbl 1259.03059) Full Text: DOI
Kulikov, G. Yu.; Kuznetsov, E. B.; Khrustaleva, E. Yu. On the global error control in nested implicit Runge-Kutta methods of Gauss type. (Russian, English) Zbl 1299.65172 Sib. Zh. Vychisl. Mat. 14, No. 3, 245-259 (2011); translation in Numer. Analysis Appl. 4, No. 3, 199-209 (2011). MSC: 65L70 65L50 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{G. Yu. Kulikov} et al., Sib. Zh. Vychisl. Mat. 14, No. 3, 245--259 (2011; Zbl 1299.65172); translation in Numer. Analysis Appl. 4, No. 3, 199--209 (2011) Full Text: DOI
Gloria, Antoine Reduction of the resonance error. I: Approximation of homogenized coefficients. (English) Zbl 1233.35016 Math. Models Methods Appl. Sci. 21, No. 8, 1601-1630 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 65M15 PDFBibTeX XMLCite \textit{A. Gloria}, Math. Models Methods Appl. Sci. 21, No. 8, 1601--1630 (2011; Zbl 1233.35016) Full Text: DOI
Zhang, Xiao-Yu; Fang, Qing Effects of stretching functions on non-uniform fdm for Poisson-type equations on a disk with singular solutions. (English) Zbl 1349.65574 Wen, Guo Chun (ed.) et al., Boundary value problems, integral equations and related problems. Proceedings of the third international conference, Beijing and Baoding, China, August 20–25, 2010. Hackensack, NJ: World Scientific (ISBN 978-981-4327-85-5/hbk; 978-981-4327-86-2/ebook). 327-337 (2011). MSC: 65N06 65N15 PDFBibTeX XMLCite \textit{X.-Y. Zhang} and \textit{Q. Fang}, in: Boundary value problems, integral equations and related problems. Proceedings of the third international conference, Beijing and Baoding, China, August 20--25, 2010. Hackensack, NJ: World Scientific. 327--337 (2011; Zbl 1349.65574) Full Text: Link
Pavlov, N.; Valchanov, N.; Kyurkchiev, N. Bounds for the unique positive root of a polynomial in mathematics of finance. (English) Zbl 1240.65158 Nauchni Tr., Plovdivski Univ., Mat. 37, No. 3, 101-110 (2010). MSC: 65H04 26C10 91G60 PDFBibTeX XMLCite \textit{N. Pavlov} et al., Nauchni Tr., Plovdivski Univ., Mat. 37, No. 3, 101--110 (2010; Zbl 1240.65158)
Li, Zi-Cai; Lu, Tzon-Tzer; Wei, Yimin Effective condition number of Trefftz methods for biharmonic equations with crack singularities. (English) Zbl 1224.65108 Numer. Linear Algebra Appl. 16, No. 2, 145-171 (2009). Reviewer: Karel Segeth (Praha) MSC: 65F20 65N35 35J40 15A12 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Numer. Linear Algebra Appl. 16, No. 2, 145--171 (2009; Zbl 1224.65108) Full Text: DOI
Li, Z.-C.; Huang, H.-T. Effective condition number for numerical partial differential equations. (English) Zbl 1212.65410 Numer. Linear Algebra Appl. 15, No. 7, 575-594 (2008). MSC: 65N06 65F05 65F35 65N15 35J05 PDFBibTeX XMLCite \textit{Z. C. Li} and \textit{H. T. Huang}, Numer. Linear Algebra Appl. 15, No. 7, 575--594 (2008; Zbl 1212.65410) Full Text: DOI
Feng, Yongping; Zhang, Xiaochao; Deng, Mingxiang Homogenization of the Neumann problem of stratified structure. (English) Zbl 1195.74145 J. Guangzhou Univ., Nat. Sci. 7, No. 3, 22-25 (2008). MSC: 74Q99 65N15 74E30 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Guangzhou Univ., Nat. Sci. 7, No. 3, 22--25 (2008; Zbl 1195.74145)
Sviercoski, R. F.; Winter, C. L.; Warrick, A. W. Analytical approximation for the generalized Laplace equation with step function coefficient. (English) Zbl 1152.35108 SIAM J. Appl. Math. 68, No. 5, 1268-1281 (2008). MSC: 35R05 35B27 74Q20 76S05 35A35 76M20 65N15 PDFBibTeX XMLCite \textit{R. F. Sviercoski} et al., SIAM J. Appl. Math. 68, No. 5, 1268--1281 (2008; Zbl 1152.35108) Full Text: DOI
Hanke, Martin On real-time algorithms for the location search of discontinuous conductivities with one measurement. (English) Zbl 1153.35403 Inverse Probl. 24, No. 4, Article ID 045005, 16 p. (2008). MSC: 35R30 65N21 65N15 78A48 PDFBibTeX XMLCite \textit{M. Hanke}, Inverse Probl. 24, No. 4, Article ID 045005, 16 p. (2008; Zbl 1153.35403) Full Text: DOI Link
Wildey, T.; Tavener, S.; Estep, D. A posteriori error estimation of approximate boundary fluxes. (English) Zbl 1152.65106 Commun. Numer. Methods Eng. 24, No. 6, 421-434 (2008). MSC: 65N15 35J25 65N30 PDFBibTeX XMLCite \textit{T. Wildey} et al., Commun. Numer. Methods Eng. 24, No. 6, 421--434 (2008; Zbl 1152.65106) Full Text: DOI
Antonić, Nenad; Vrdoljak, Marko Gradient methods for multiple state optimal design problems. (English) Zbl 1180.35067 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177-187 (2007). MSC: 35B27 49K20 49M05 65K10 74Q20 35Q93 PDFBibTeX XMLCite \textit{N. Antonić} and \textit{M. Vrdoljak}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177--187 (2007; Zbl 1180.35067) Full Text: DOI
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric Heterogeneous multiscale methods: a review. (English) Zbl 1164.65496 Commun. Comput. Phys. 2, No. 3, 367-450 (2007). MSC: 65N30 74Q05 74Q20 74S05 65-02 PDFBibTeX XMLCite \textit{W. E} et al., Commun. Comput. Phys. 2, No. 3, 367--450 (2007; Zbl 1164.65496)
Vrdoljak, Marko Multiple state optimal design problems and Hashin-Shtrikman bounds. (English) Zbl 1165.35317 Int. J. Pure Appl. Math. 42, No. 3, 319-324 (2007). MSC: 35B27 49J45 49K20 65K10 74Q20 PDFBibTeX XMLCite \textit{M. Vrdoljak}, Int. J. Pure Appl. Math. 42, No. 3, 319--324 (2007; Zbl 1165.35317)
Ohlberger, Mario A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. (English) Zbl 1090.65128 Multiscale Model. Simul. 4, No. 1, 88-114 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N15 35A35 35B27 65N30 74Q15 PDFBibTeX XMLCite \textit{M. Ohlberger}, Multiscale Model. Simul. 4, No. 1, 88--114 (2005; Zbl 1090.65128) Full Text: DOI
Milton, G. W. On optimizing the properties of hierarchical laminates using Pontryagin’s maximum principle. (English) Zbl 1108.74048 Multiscale Model. Simul. 3, No. 3, 658-679 (2005). MSC: 74P10 49K20 49N90 65K10 74N15 74Q20 PDFBibTeX XMLCite \textit{G. W. Milton}, Multiscale Model. Simul. 3, No. 3, 658--679 (2005; Zbl 1108.74048) Full Text: DOI
Blanes, S.; Casas, F.; Murua, A. On the numerical integration of ordinary differential equations by processed methods. (English) Zbl 1079.65075 SIAM J. Numer. Anal. 42, No. 2, 531-552 (2004). Reviewer: Hermann Brunner (St. John’s) MSC: 65L05 65L70 22E60 34A45 34A34 PDFBibTeX XMLCite \textit{S. Blanes} et al., SIAM J. Numer. Anal. 42, No. 2, 531--552 (2004; Zbl 1079.65075) Full Text: DOI
Allaire, Grégoire Shape optimization by the homogenization method. (English) Zbl 0990.35001 Applied Mathematical Sciences. 146. New York, NY: Springer. xv, 456 p. (2002). Reviewer: Nenad Antonić and Marko Vrdoljak (Zagreb) MSC: 35-02 35B27 49-02 49J45 49K20 65K10 74Q20 PDFBibTeX XMLCite \textit{G. Allaire}, Shape optimization by the homogenization method. New York, NY: Springer (2002; Zbl 0990.35001)
Butcher, J. C.; Chen, D. J. L. On the implementation of ESIRK methods for stiff IVPs. (English) Zbl 0974.65075 Numer. Algorithms 26, No. 3, 201-218 (2001). Reviewer: Iulian Coroian (Baia Mare) MSC: 65L06 34A34 65L70 65L05 65L20 65L50 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{D. J. L. Chen}, Numer. Algorithms 26, No. 3, 201--218 (2001; Zbl 0974.65075) Full Text: DOI
Butcher, J. C.; Chan, T. M. H. Variable stepsize schemes for effective order methods and enhanced order composition methods. (English) Zbl 0976.65067 Numer. Algorithms 26, No. 2, 131-150 (2001). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L06 65L05 65L70 65L50 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{T. M. H. Chan}, Numer. Algorithms 26, No. 2, 131--150 (2001; Zbl 0976.65067) Full Text: DOI
Butcher, J. C.; Chartier, P. The effective order of singly-implicit Runge-Kutta methods. (English) Zbl 0936.65089 Numer. Algorithms 20, No. 4, 269-284 (1999). MSC: 65L06 34A34 65L70 65L05 65L20 65L50 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{P. Chartier}, Numer. Algorithms 20, No. 4, 269--284 (1999; Zbl 0936.65089) Full Text: DOI
Zohdi, T.; Wriggers, P. A domain decomposition method for bodies with heterogeneous microstructure based on material regularization. (English) Zbl 0949.74081 Int. J. Solids Struct. 36, No. 17, 2507-2525 (1999). MSC: 74S30 74Q15 74E30 74B05 65N55 PDFBibTeX XMLCite \textit{T. Zohdi} and \textit{P. Wriggers}, Int. J. Solids Struct. 36, No. 17, 2507--2525 (1999; Zbl 0949.74081) Full Text: DOI
Hersvik, K. J.; Espedal, M. S. Adaptive hierarchical upscaling of flow in heterogeneous reservoirs based on an a posteriori error estimate. (English) Zbl 0946.76073 Comput. Geosci. 2, No. 4, 311-336 (1998). MSC: 76M25 76S05 76T99 65M15 65M55 86A05 PDFBibTeX XMLCite \textit{K. J. Hersvik} and \textit{M. S. Espedal}, Comput. Geosci. 2, No. 4, 311--336 (1998; Zbl 0946.76073) Full Text: DOI
Butcher, J. C.; Chen, D. J. L. ESIRK methods and variable stepsize. (English) Zbl 0927.65096 Appl. Numer. Math. 28, No. 2-4, 193-207 (1998). Reviewer: E.Hairer (Genève) MSC: 65L06 65L05 65L50 65L70 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{D. J. L. Chen}, Appl. Numer. Math. 28, No. 2--4, 193--207 (1998; Zbl 0927.65096) Full Text: DOI
Horiuti, Kiyosi; Itami, Takao Truncation error analysis of the rotational form for the convective terms in the Navier-Stokes equation. (English) Zbl 0926.76077 J. Comput. Phys. 145, No. 2, 671-692 (1998). MSC: 76M20 76D05 76F10 76U05 65M15 PDFBibTeX XMLCite \textit{K. Horiuti} and \textit{T. Itami}, J. Comput. Phys. 145, No. 2, 671--692 (1998; Zbl 0926.76077) Full Text: DOI
Yamada, Susumu; Ozawa, Kazufumi Attainable orders of phase and amplification errors of explicit parallel Runge-Kutta methods. (English) Zbl 0920.65052 Interdiscip. Inf. Sci. 2, No. 2, 153-157 (1996). MSC: 65L70 34A34 34C25 65L05 65L06 PDFBibTeX XMLCite \textit{S. Yamada} and \textit{K. Ozawa}, Interdiscip. Inf. Sci. 2, No. 2, 153--157 (1996; Zbl 0920.65052) Full Text: DOI
Abramenko, A. V.; Maksimenko, V. N. Evaluating the residual strength of shells of laminated composites with through-slit-type defects. (English. Russian original) Zbl 1030.74519 Prikl. Mekh. Tekh. Fiz. 35, No. 1, 140-146 (1994); translation in J. Appl. Mech. Tech. Phys. 35, No. 1, 143-149 (1994). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 74E30 74K25 74B10 65R20 74Q15 74Q20 74A40 PDFBibTeX XMLCite \textit{A. V. Abramenko} and \textit{V. N. Maksimenko}, Prikl. Mekh. Tekh. Fiz. 35, No. 1, 140--146 (1994; Zbl 1030.74519); translation in J. Appl. Mech. Tech. Phys. 35, No. 1, 143--149 (1994)
Choudhary, S. K.; Grosse, I. R. Effective stress-based finite element error estimation for composite bodies. (English) Zbl 0784.73077 Comput. Struct. 48, No. 3, 493-503 (1993). MSC: 74S05 74H45 65N15 65N30 PDFBibTeX XMLCite \textit{S. K. Choudhary} and \textit{I. R. Grosse}, Comput. Struct. 48, No. 3, 493--503 (1993; Zbl 0784.73077) Full Text: DOI
Jayaswal, K.; Grosse, I. R. Finite element error estimation for crack tip singular elements. (English) Zbl 0781.73066 Finite Elem. Anal. Des. 14, No. 1, 17-35 (1993). MSC: 74S05 74R99 65N15 PDFBibTeX XMLCite \textit{K. Jayaswal} and \textit{I. R. Grosse}, Finite Elem. Anal. Des. 14, No. 1, 17--35 (1993; Zbl 0781.73066) Full Text: DOI
Schmitt, Bernhard A.; Schild, Karl-Heinz Error estimation and mesh adaption for an algebraic difference scheme in stiff BVPs. (English) Zbl 0734.65067 Numerical treatment of differential equations, Sel. Pap. 5th Int. Semin., NUMDIFF-5, Halle/Ger. 1989, Teubner-Texte Math. 121, 152-161 (1991). Reviewer: B.A.Schmitt (Marburg) MSC: 65L10 65L70 65L50 65L20 34B05 34E13 PDFBibTeX XML
Zhu, J. Z.; Zienkiewicz, O. C. Adaptive techniques in the finite element method. (English) Zbl 0633.73070 Commun. Appl. Numer. Methods 4, No. 2, 197-204 (1988). MSC: 74S05 65N15 65N50 PDFBibTeX XMLCite \textit{J. Z. Zhu} and \textit{O. C. Zienkiewicz}, Commun. Appl. Numer. Methods 4, No. 2, 197--204 (1988; Zbl 0633.73070) Full Text: DOI
Babuška, Ivo; Rheinboldt, W. C. On the reliability and optimality of the finite element method. (English) Zbl 0395.65058 Comput. Struct. 10, 87-94 (1979). MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, Comput. Struct. 10, 87--94 (1979; Zbl 0395.65058) Full Text: DOI