Cockburn, Bernardo Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems. (English) Zbl 07749865 Japan J. Ind. Appl. Math. 40, No. 3, 1637-1676 (2023). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65M60 65-02 65N12 65N15 35L65 35J15 PDFBibTeX XMLCite \textit{B. Cockburn}, Japan J. Ind. Appl. Math. 40, No. 3, 1637--1676 (2023; Zbl 07749865) Full Text: DOI
Oishi, Shin’ichi Lower bounds for the smallest singular values of generalized asymptotic diagonal dominant matrices. (English) Zbl 07749863 Japan J. Ind. Appl. Math. 40, No. 3, 1569-1585 (2023). MSC: 65F45 PDFBibTeX XMLCite \textit{S. Oishi}, Japan J. Ind. Appl. Math. 40, No. 3, 1569--1585 (2023; Zbl 07749863) Full Text: DOI OA License
Ishizaka, Hiroki; Kobayashi, Kenta; Tsuchiya, Takuya Correction to: “General theory of interpolation error estimates on anisotropic meshes”. (English) Zbl 1514.65015 Japan J. Ind. Appl. Math. 40, No. 2, 1355-1356 (2023). MSC: 65D05 65N30 PDFBibTeX XMLCite \textit{H. Ishizaka} et al., Japan J. Ind. Appl. Math. 40, No. 2, 1355--1356 (2023; Zbl 1514.65015) Full Text: DOI
Ishizaka, Hiroki; Kobayashi, Kenta; Tsuchiya, Takuya Anisotropic interpolation error estimates using a new geometric parameter. (English) Zbl 1509.65007 Japan J. Ind. Appl. Math. 40, No. 1, 475-512 (2023). MSC: 65D05 65N30 PDFBibTeX XMLCite \textit{H. Ishizaka} et al., Japan J. Ind. Appl. Math. 40, No. 1, 475--512 (2023; Zbl 1509.65007) Full Text: DOI arXiv
Sunayama, Yosuke; Kimura, Masato; Rabago, Julius Fergy T. Comoving mesh method for certain classes of moving boundary problems. (English) Zbl 1506.65163 Japan J. Ind. Appl. Math. 39, No. 3, 973-1001 (2022). MSC: 65M60 65M99 65N30 65N50 65M12 65M15 35R35 35R37 76D27 80A22 49Q10 PDFBibTeX XMLCite \textit{Y. Sunayama} et al., Japan J. Ind. Appl. Math. 39, No. 3, 973--1001 (2022; Zbl 1506.65163) Full Text: DOI arXiv
Jeon, Youngmok An immersed hybrid difference method for the elliptic interface equation. (English) Zbl 1491.65143 Japan J. Ind. Appl. Math. 39, No. 2, 669-692 (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N30 65N38 65N50 65N06 35J15 PDFBibTeX XMLCite \textit{Y. Jeon}, Japan J. Ind. Appl. Math. 39, No. 2, 669--692 (2022; Zbl 1491.65143) Full Text: DOI
Kashiwabara, Takahito; Tsuchiya, Takuya A robust discontinuous Galerkin scheme on anisotropic meshes. (English) Zbl 1477.65224 Japan J. Ind. Appl. Math. 38, No. 3, 1001-1022 (2021). MSC: 65N30 65N50 65N15 PDFBibTeX XMLCite \textit{T. Kashiwabara} and \textit{T. Tsuchiya}, Japan J. Ind. Appl. Math. 38, No. 3, 1001--1022 (2021; Zbl 1477.65224) Full Text: DOI arXiv
Rathore, Surabhi; Uda, Tomoki; Huynh, Viet Q. H.; Suito, Hiroshi; Watanabe, Toshitaka; Sugiyama, Hironobu; Srikanth, D. Numerical computation of blood flow for a patient-specific hemodialysis shunt model. (English) Zbl 1479.35630 Japan J. Ind. Appl. Math. 38, No. 3, 903-919 (2021). MSC: 35Q30 35Q92 76D05 76Z05 92C35 76M10 76M20 65M60 65M06 65N30 92-08 PDFBibTeX XMLCite \textit{S. Rathore} et al., Japan J. Ind. Appl. Math. 38, No. 3, 903--919 (2021; Zbl 1479.35630) Full Text: DOI
Ishizaka, Hiroki; Kobayashi, Kenta; Tsuchiya, Takuya Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition. (English) Zbl 1477.65223 Japan J. Ind. Appl. Math. 38, No. 2, 645-675 (2021). MSC: 65N30 65N50 65N12 65N15 65D05 35J05 PDFBibTeX XMLCite \textit{H. Ishizaka} et al., Japan J. Ind. Appl. Math. 38, No. 2, 645--675 (2021; Zbl 1477.65223) Full Text: DOI arXiv
Shahsahebi, F. S.; Damirchi, J.; Janmohammadi, A. The Ritz-Galerkin procedure for an inverse space-dependent heat source problem. (English) Zbl 07378253 Japan J. Ind. Appl. Math. 38, No. 2, 625-643 (2021). MSC: 47A52 35K05 35R30 65M70 PDFBibTeX XMLCite \textit{F. S. Shahsahebi} et al., Japan J. Ind. Appl. Math. 38, No. 2, 625--643 (2021; Zbl 07378253) Full Text: DOI
Ishizaka, Hiroki; Kobayashi, Kenta; Tsuchiya, Takuya General theory of interpolation error estimates on anisotropic meshes. (English) Zbl 1467.65009 Japan J. Ind. Appl. Math. 38, No. 1, 163-191 (2021); correction ibid. 40, No. 2, 1355-1356 (2023). MSC: 65D05 65N30 PDFBibTeX XMLCite \textit{H. Ishizaka} et al., Japan J. Ind. Appl. Math. 38, No. 1, 163--191 (2021; Zbl 1467.65009) Full Text: DOI arXiv
Nakanishi, Toru; Saito, Norikazu Finite element method for radially symmetric solution of a multidimensional semilinear heat equation. (English) Zbl 1434.65189 Japan J. Ind. Appl. Math. 37, No. 1, 165-191 (2020). MSC: 65M60 35K58 35B06 65M15 65M06 PDFBibTeX XMLCite \textit{T. Nakanishi} and \textit{N. Saito}, Japan J. Ind. Appl. Math. 37, No. 1, 165--191 (2020; Zbl 1434.65189) Full Text: DOI arXiv
Choi, Y. S.; Connors, J. M. A steepest descent algorithm for the computation of traveling dissipative solitons. (English) Zbl 1431.65239 Japan J. Ind. Appl. Math. 37, No. 1, 131-163 (2020). MSC: 65P30 37L65 35K57 PDFBibTeX XMLCite \textit{Y. S. Choi} and \textit{J. M. Connors}, Japan J. Ind. Appl. Math. 37, No. 1, 131--163 (2020; Zbl 1431.65239) Full Text: DOI arXiv
Zhou, Guanyu; Kashiwabara, Takahito; Oikawa, Issei; Chung, Eric; Shiue, Ming-Cheng Some DG schemes for the Stokes-Darcy problem using P1/P1 element. (English) Zbl 1425.76154 Japan J. Ind. Appl. Math. 36, No. 3, 1101-1128 (2019). MSC: 76M10 76S05 65N30 35Q30 PDFBibTeX XMLCite \textit{G. Zhou} et al., Japan J. Ind. Appl. Math. 36, No. 3, 1101--1128 (2019; Zbl 1425.76154) Full Text: DOI
Hu, Xiukun; Douglas, Craig C. Performance and scalability analysis of a coupled dual porosity Stokes model implemented with FEniCS. (English) Zbl 1425.76241 Japan J. Ind. Appl. Math. 36, No. 3, 1039-1054 (2019). MSC: 76S05 76M10 65M60 65M12 PDFBibTeX XMLCite \textit{X. Hu} and \textit{C. C. Douglas}, Japan J. Ind. Appl. Math. 36, No. 3, 1039--1054 (2019; Zbl 1425.76241) Full Text: DOI
Kimura, Masato; Matsui, Kazunori; Muntean, Adrian; Notsu, Hirofumi Analysis of a projection method for the Stokes problem using an \(\varepsilon \)-Stokes approach. (English) Zbl 1425.76054 Japan J. Ind. Appl. Math. 36, No. 3, 959-985 (2019). MSC: 76D03 76D05 76M10 35Q30 35Q35 35B40 65N30 PDFBibTeX XMLCite \textit{M. Kimura} et al., Japan J. Ind. Appl. Math. 36, No. 3, 959--985 (2019; Zbl 1425.76054) Full Text: DOI arXiv
Chiba, Yuki; Saito, Norikazu Weak discrete maximum principle and \(L^\infty\) analysis of the DG method for the Poisson equation on a polygonal domain. (English) Zbl 1427.65340 Japan J. Ind. Appl. Math. 36, No. 3, 809-834 (2019). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{Y. Chiba} and \textit{N. Saito}, Japan J. Ind. Appl. Math. 36, No. 3, 809--834 (2019; Zbl 1427.65340) Full Text: DOI arXiv
Hashimoto, Kouji; Kimura, Takuma; Minamoto, Teruya; Nakao, Mitsuhiro T. Constructive error analysis of a full-discrete finite element method for the heat equation. (English) Zbl 1427.65216 Japan J. Ind. Appl. Math. 36, No. 3, 777-790 (2019). MSC: 65M15 65M60 35K05 35B45 PDFBibTeX XMLCite \textit{K. Hashimoto} et al., Japan J. Ind. Appl. Math. 36, No. 3, 777--790 (2019; Zbl 1427.65216) Full Text: DOI arXiv
Liao, Shih-Kang; Shu, Yu-Chen; Liu, Xuefeng Optimal estimation for the Fujino-Morley interpolation error constants. (English) Zbl 1418.65178 Japan J. Ind. Appl. Math. 36, No. 2, 521-542 (2019). MSC: 65N30 35P15 35J40 41A05 65D05 PDFBibTeX XMLCite \textit{S.-K. Liao} et al., Japan J. Ind. Appl. Math. 36, No. 2, 521--542 (2019; Zbl 1418.65178) Full Text: DOI arXiv
Kilianová, Soňa; Ševčovič, Daniel Dynamic intertemporal utility optimization by means of Riccati transformation of Hamilton-Jacobi-Bellman equation. (English) Zbl 1419.35095 Japan J. Ind. Appl. Math. 36, No. 2, 497-519 (2019). MSC: 35K55 35Q91 91G10 65N30 91G60 35R60 PDFBibTeX XMLCite \textit{S. Kilianová} and \textit{D. Ševčovič}, Japan J. Ind. Appl. Math. 36, No. 2, 497--519 (2019; Zbl 1419.35095) Full Text: DOI arXiv
Ueda, Yuki; Saito, Norikazu The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion-advection-reaction equations. (English) Zbl 1410.65349 Japan J. Ind. Appl. Math. 36, No. 1, 209-238 (2019). MSC: 65M12 65M60 PDFBibTeX XMLCite \textit{Y. Ueda} and \textit{N. Saito}, Japan J. Ind. Appl. Math. 36, No. 1, 209--238 (2019; Zbl 1410.65349) Full Text: DOI arXiv
Grodet, Aymeric; Tsuchiya, Takuya Finite element approximations of minimal surfaces: algorithms and mesh refinement. (English) Zbl 1412.65212 Japan J. Ind. Appl. Math. 35, No. 2, 707-725 (2018). MSC: 65N30 49Q05 65N50 PDFBibTeX XMLCite \textit{A. Grodet} and \textit{T. Tsuchiya}, Japan J. Ind. Appl. Math. 35, No. 2, 707--725 (2018; Zbl 1412.65212) Full Text: DOI arXiv
Kemmochi, Tomoya On the finite element approximation for non-stationary saddle-point problems. (English) Zbl 1406.65115 Japan J. Ind. Appl. Math. 35, No. 2, 423-439 (2018). MSC: 65N30 76M10 76D07 86A05 86A10 65N15 PDFBibTeX XMLCite \textit{T. Kemmochi}, Japan J. Ind. Appl. Math. 35, No. 2, 423--439 (2018; Zbl 1406.65115) Full Text: DOI arXiv
Kobayashi, Kenta; Tsuchiya, Takuya Error analysis of Crouzeix-Raviart and Raviart-Thomas finite element methods. (English) Zbl 06990739 Japan J. Ind. Appl. Math. 35, No. 3, 1191-1211 (2018). MSC: 65D05 65N30 PDFBibTeX XMLCite \textit{K. Kobayashi} and \textit{T. Tsuchiya}, Japan J. Ind. Appl. Math. 35, No. 3, 1191--1211 (2018; Zbl 06990739) Full Text: DOI arXiv
Xie, Manting; Xie, Hehu; Liu, Xuefeng Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements. (English) Zbl 1450.65143 Japan J. Ind. Appl. Math. 35, No. 1, 335-354 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N30 65L15 76D07 PDFBibTeX XMLCite \textit{M. Xie} et al., Japan J. Ind. Appl. Math. 35, No. 1, 335--354 (2018; Zbl 1450.65143) Full Text: DOI
Zhou, Guanyu The fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition. (English) Zbl 1433.76143 Japan J. Ind. Appl. Math. 34, No. 2, 585-610 (2017). MSC: 76M99 76D07 65N85 65N30 PDFBibTeX XMLCite \textit{G. Zhou}, Japan J. Ind. Appl. Math. 34, No. 2, 585--610 (2017; Zbl 1433.76143) Full Text: DOI
Koyama, Daisuke; Kikuchi, Fumio On volumetric locking in a hybrid symmetric interior penalty method for nearly incompressible linear elasticity on polygonal meshes. (English) Zbl 1433.65302 Japan J. Ind. Appl. Math. 34, No. 2, 373-406 (2017). MSC: 65N30 65N12 65N15 74B05 PDFBibTeX XMLCite \textit{D. Koyama} and \textit{F. Kikuchi}, Japan J. Ind. Appl. Math. 34, No. 2, 373--406 (2017; Zbl 1433.65302) Full Text: DOI
Kinoshita, Takehiko; Watanabe, Yoshitaka; Yamamoto, Nobito; Nakao, Mitsuhiro T. Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains. (English) Zbl 1367.65152 Japan J. Ind. Appl. Math. 33, No. 3, 629-636 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{T. Kinoshita} et al., Japan J. Ind. Appl. Math. 33, No. 3, 629--636 (2016; Zbl 1367.65152) Full Text: DOI
Satake, Masayoshi; Maeda, Noboru; Fukui, Shinji; Azegami, Hideyuki Shape optimization of an electrostatic capacitive sensor. (English) Zbl 1367.35163 Japan J. Ind. Appl. Math. 33, No. 3, 599-619 (2016). MSC: 35Q60 78A30 78M50 49Q10 78M10 90C52 35Q93 93B30 PDFBibTeX XMLCite \textit{M. Satake} et al., Japan J. Ind. Appl. Math. 33, No. 3, 599--619 (2016; Zbl 1367.35163) Full Text: DOI
Bilgil, Halis; Gürcan, Fuat Effect of the Reynolds number on flow bifurcations and eddy genesis in a lid-driven sectorial cavity. (English) Zbl 1354.35088 Japan J. Ind. Appl. Math. 33, No. 2, 343-360 (2016). MSC: 35Q35 35B32 76M10 65N30 PDFBibTeX XMLCite \textit{H. Bilgil} and \textit{F. Gürcan}, Japan J. Ind. Appl. Math. 33, No. 2, 343--360 (2016; Zbl 1354.35088) Full Text: DOI
Tabata, Masahisa; Uchiumi, Shinya A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems. (English) Zbl 1333.65113 Japan J. Ind. Appl. Math. 33, No. 1, 121-143 (2016). MSC: 65M60 65M12 65M25 76M10 PDFBibTeX XMLCite \textit{M. Tabata} and \textit{S. Uchiumi}, Japan J. Ind. Appl. Math. 33, No. 1, 121--143 (2016; Zbl 1333.65113) Full Text: DOI arXiv
Boulmezaoud, T. Z.; Mziou, S.; Boudjedaa, B.; Babatin, M. M. Inverted finite elements for degenerate and radial elliptic problems in unbounded domains. (English) Zbl 1320.65168 Japan J. Ind. Appl. Math. 32, No. 1, 237-261 (2015). MSC: 65N30 35J25 35J70 35J75 65N12 PDFBibTeX XMLCite \textit{T. Z. Boulmezaoud} et al., Japan J. Ind. Appl. Math. 32, No. 1, 237--261 (2015; Zbl 1320.65168) Full Text: DOI
Luo, Zhendong; Li, Hong; Chen, Jing; Teng, Fei A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation. (English) Zbl 1328.65211 Japan J. Ind. Appl. Math. 32, No. 1, 119-142 (2015). MSC: 65M60 65M08 35Q30 PDFBibTeX XMLCite \textit{Z. Luo} et al., Japan J. Ind. Appl. Math. 32, No. 1, 119--142 (2015; Zbl 1328.65211) Full Text: DOI
Kobayashi, Kenta; Tsuchiya, Takuya On the circumradius condition for piecewise linear triangular elements. (English) Zbl 1328.65052 Japan J. Ind. Appl. Math. 32, No. 1, 65-76 (2015). MSC: 65D05 65N30 26B15 PDFBibTeX XMLCite \textit{K. Kobayashi} and \textit{T. Tsuchiya}, Japan J. Ind. Appl. Math. 32, No. 1, 65--76 (2015; Zbl 1328.65052) Full Text: DOI arXiv
Tanaka, Kazuaki; Takayasu, Akitoshi; Liu, Xuefeng; Oishi, Shin’ichi Verified norm estimation for the inverse of linear elliptic operators using eigenvalue evaluation. (English) Zbl 1335.65090 Japan J. Ind. Appl. Math. 31, No. 3, 665-679 (2014). MSC: 65N25 65N30 35J25 35P15 47F05 47A05 PDFBibTeX XMLCite \textit{K. Tanaka} et al., Japan J. Ind. Appl. Math. 31, No. 3, 665--679 (2014; Zbl 1335.65090) Full Text: DOI
Sandri, D. Numerical analysis of a four-field model for the approximation of a fluid obeying the power law or Carreau’s law. (English) Zbl 1308.76175 Japan J. Ind. Appl. Math. 31, No. 3, 633-663 (2014). MSC: 76M10 65N30 76A05 PDFBibTeX XMLCite \textit{D. Sandri}, Japan J. Ind. Appl. Math. 31, No. 3, 633--663 (2014; Zbl 1308.76175) Full Text: DOI
Oikawa, Issei Hybridized discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 1300.65089 Japan J. Ind. Appl. Math. 31, No. 2, 335-354 (2014). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{I. Oikawa}, Japan J. Ind. Appl. Math. 31, No. 2, 335--354 (2014; Zbl 1300.65089) Full Text: DOI arXiv
Kobayashi, Kenta; Tsuchiya, Takuya A Babuška-Aziz type proof of the circumradius condition. (English) Zbl 1295.65011 Japan J. Ind. Appl. Math. 31, No. 1, 193-210 (2014). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 65N30 PDFBibTeX XMLCite \textit{K. Kobayashi} and \textit{T. Tsuchiya}, Japan J. Ind. Appl. Math. 31, No. 1, 193--210 (2014; Zbl 1295.65011) Full Text: DOI arXiv
Koyama, Daisuke An a priori error estimate of the Dirichlet-to-Neumann finite element method for multiple scattering problems. (English) Zbl 1292.65112 Japan J. Ind. Appl. Math. 31, No. 1, 165-192 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{D. Koyama}, Japan J. Ind. Appl. Math. 31, No. 1, 165--192 (2014; Zbl 1292.65112) Full Text: DOI
Zhou, Guanyu; Saito, Norikazu Analysis of the fictitious domain method with penalty for elliptic problems. (English) Zbl 1297.65199 Japan J. Ind. Appl. Math. 31, No. 1, 57-85 (2014). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N85 65N08 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{G. Zhou} and \textit{N. Saito}, Japan J. Ind. Appl. Math. 31, No. 1, 57--85 (2014; Zbl 1297.65199) Full Text: DOI
Park, Chunjae \(P_0\)-approximation of \(\Delta(H_0^2\cap W^{3,\infty})\) on square grids based on interior squares. (English) Zbl 1447.65158 Japan J. Ind. Appl. Math. 30, No. 3, 661-679 (2013). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 76D07 PDFBibTeX XMLCite \textit{C. Park}, Japan J. Ind. Appl. Math. 30, No. 3, 661--679 (2013; Zbl 1447.65158) Full Text: DOI
Liu, Xuefeng; Oishi, Shin’ichi Guaranteed high-precision estimation for \(P_0\) interpolation constants on triangular finite elements. (English) Zbl 1300.65078 Japan J. Ind. Appl. Math. 30, No. 3, 635-652 (2013). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65N15 65N30 65N25 35J05 35P15 PDFBibTeX XMLCite \textit{X. Liu} and \textit{S. Oishi}, Japan J. Ind. Appl. Math. 30, No. 3, 635--652 (2013; Zbl 1300.65078) Full Text: DOI
Kanayama, Hiroshi; Dan, Hiroshi A tsunami simulation of Hakata Bay using the viscous shallow-water equations. (English) Zbl 1291.86003 Japan J. Ind. Appl. Math. 30, No. 3, 605-624 (2013). MSC: 86-08 86A05 65M60 76D05 PDFBibTeX XMLCite \textit{H. Kanayama} and \textit{H. Dan}, Japan J. Ind. Appl. Math. 30, No. 3, 605--624 (2013; Zbl 1291.86003) Full Text: DOI
Jeon, Youngmok; Sheen, Dongwoo A locking-free locally conservative hybridized scheme for elasticity problems. (English) Zbl 1291.74023 Japan J. Ind. Appl. Math. 30, No. 3, 585-603 (2013). MSC: 74B05 74S05 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{D. Sheen}, Japan J. Ind. Appl. Math. 30, No. 3, 585--603 (2013; Zbl 1291.74023) Full Text: DOI
Huang, Peiqi; Chen, Jinru Some low order nonconforming mixed finite elements combined with Raviart-Thomas elements for a coupled Stokes-Darcy model. (English) Zbl 1291.76311 Japan J. Ind. Appl. Math. 30, No. 3, 565-584 (2013). MSC: 76S05 65N30 76M10 65N12 76D07 PDFBibTeX XMLCite \textit{P. Huang} and \textit{J. Chen}, Japan J. Ind. Appl. Math. 30, No. 3, 565--584 (2013; Zbl 1291.76311) Full Text: DOI
Deng, Li; Boukaram, Wajih-Halim; Douglas, Craig C. A finite element method perturbation expansion for a coupled structural-acoustic system: two dimensional case. (English) Zbl 1291.74177 Japan J. Ind. Appl. Math. 30, No. 3, 545-563 (2013). MSC: 74S05 65N25 65N30 76Q05 PDFBibTeX XMLCite \textit{L. Deng} et al., Japan J. Ind. Appl. Math. 30, No. 3, 545--563 (2013; Zbl 1291.74177) Full Text: DOI
Bu, Sunyoung; Hong, Won-Tak; Lee, June-Yub Local flux conservative numerical methods for the second order elliptic equations. (English) Zbl 1291.65337 Japan J. Ind. Appl. Math. 30, No. 3, 529-543 (2013). MSC: 65N30 35J25 65N12 65N08 PDFBibTeX XMLCite \textit{S. Bu} et al., Japan J. Ind. Appl. Math. 30, No. 3, 529--543 (2013; Zbl 1291.65337) Full Text: DOI
Kashiwabara, Takahito On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type. (English) Zbl 1263.76043 Japan J. Ind. Appl. Math. 30, No. 1, 227-261 (2013). MSC: 76M10 65N30 35Q30 35J87 PDFBibTeX XMLCite \textit{T. Kashiwabara}, Japan J. Ind. Appl. Math. 30, No. 1, 227--261 (2013; Zbl 1263.76043) Full Text: DOI arXiv
Theeraek, Patcharee; Phongthanapanich, Sutthisak; Dechaumphai, Pramote Combined adaptive meshing technique and finite volume element method for solving convection-diffusion equation. (English) Zbl 1261.65090 Japan J. Ind. Appl. Math. 30, No. 1, 185-202 (2013). MSC: 65M08 35K20 65M60 65M50 PDFBibTeX XMLCite \textit{P. Theeraek} et al., Japan J. Ind. Appl. Math. 30, No. 1, 185--202 (2013; Zbl 1261.65090) Full Text: DOI
Ohm, Mi Ray; Lee, Hyun Young; Shin, Jun Yong \(L^2\)-error analysis of discontinuous Galerkin approximations for nonlinear Sobolev equations. (English) Zbl 1273.65126 Japan J. Ind. Appl. Math. 30, No. 1, 91-110 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 65M15 65M60 35K55 65M12 65M20 PDFBibTeX XMLCite \textit{M. R. Ohm} et al., Japan J. Ind. Appl. Math. 30, No. 1, 91--110 (2013; Zbl 1273.65126) Full Text: DOI
Kikuchi, Fumio Rellich-type discrete compactness for some discontinuous Galerkin FEM. (English) Zbl 1258.65098 Japan J. Ind. Appl. Math. 29, No. 2, 269-288 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65N30 65N12 35J05 PDFBibTeX XMLCite \textit{F. Kikuchi}, Japan J. Ind. Appl. Math. 29, No. 2, 269--288 (2012; Zbl 1258.65098) Full Text: DOI Link
Kanayama, Hiroshi; Tsukikawa, Hisayoshi Simulation of hydrogen dispersion by the domain decomposition method. (English) Zbl 1253.76094 Japan J. Ind. Appl. Math. 28, No. 1, 43-53 (2011). MSC: 76M25 65M60 PDFBibTeX XMLCite \textit{H. Kanayama} and \textit{H. Tsukikawa}, Japan J. Ind. Appl. Math. 28, No. 1, 43--53 (2011; Zbl 1253.76094) Full Text: DOI Link
Mizumoto, Hisao; Hara, Heihachiro Finite element method for parallel slit mappings. (English) Zbl 1232.65146 Japan J. Ind. Appl. Math. 28, No. 2, 263-299 (2011). Reviewer: Kai Schneider (Marseille) MSC: 65N30 30C30 31A05 35J05 65E05 65N15 76G25 PDFBibTeX XMLCite \textit{H. Mizumoto} and \textit{H. Hara}, Japan J. Ind. Appl. Math. 28, No. 2, 263--299 (2011; Zbl 1232.65146) Full Text: DOI
Kobayashi, Kenta A constructive a priori error estimation for finite element discretizations in a non-convex domain using singular functions. (English) Zbl 1186.65143 Japan J. Ind. Appl. Math. 26, No. 2-3, 493-516 (2009). Reviewer: Gunnar Possart (Erlangen) MSC: 65N15 65N30 35J05 65N50 65N12 PDFBibTeX XMLCite \textit{K. Kobayashi}, Japan J. Ind. Appl. Math. 26, No. 2--3, 493--516 (2009; Zbl 1186.65143) Full Text: DOI Euclid
Watanabe, Yoshitaka; Nakao, Mitsuhiro T. Numerical verification method of solutions for elliptic equations and its application to the Rayleigh-Bénard problem. (English) Zbl 1184.65106 Japan J. Ind. Appl. Math. 26, No. 2-3, 443-463 (2009). MSC: 65N30 65C20 35B32 35J66 65N15 PDFBibTeX XMLCite \textit{Y. Watanabe} and \textit{M. T. Nakao}, Japan J. Ind. Appl. Math. 26, No. 2--3, 443--463 (2009; Zbl 1184.65106) Full Text: DOI Euclid
Watanabe, Yoshitaka A numerical verification method for two-coupled elliptic partial differential equations. (English) Zbl 1184.65105 Japan J. Ind. Appl. Math. 26, No. 2-3, 233-247 (2009). MSC: 65N30 35J66 65G20 65H10 PDFBibTeX XMLCite \textit{Y. Watanabe}, Japan J. Ind. Appl. Math. 26, No. 2--3, 233--247 (2009; Zbl 1184.65105) Full Text: DOI Euclid
Ruas, Vitoriano; Brasil, Antonio jun.; Trales, Paulo An explicit method for convection-diffusion equations. (English) Zbl 1177.65131 Japan J. Ind. Appl. Math. 26, No. 1, 65-91 (2009). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M06 35K15 65M60 65M12 PDFBibTeX XMLCite \textit{V. Ruas} et al., Japan J. Ind. Appl. Math. 26, No. 1, 65--91 (2009; Zbl 1177.65131) Full Text: DOI Euclid
Mori, Masatake; Nurmuhammad, Ahniyaz; Muhammad, Mayinur DE-sinc method for second order singularly perturbed boundary value problems. (English) Zbl 1169.65074 Japan J. Ind. Appl. Math. 26, No. 1, 41-63 (2009). MSC: 65L10 34B05 34E15 65L60 PDFBibTeX XMLCite \textit{M. Mori} et al., Japan J. Ind. Appl. Math. 26, No. 1, 41--63 (2009; Zbl 1169.65074) Full Text: DOI Euclid
Egorova, O.; Savchenko, M.; Hagiwara, I.; Savchenko, V. Modeling of quality parameter values for improving meshes. (English) Zbl 1131.65017 Japan J. Ind. Appl. Math. 24, No. 2, 181-195 (2007). MSC: 65D18 65N30 65N50 PDFBibTeX XMLCite \textit{O. Egorova} et al., Japan J. Ind. Appl. Math. 24, No. 2, 181--195 (2007; Zbl 1131.65017) Full Text: DOI
Kanayama, Hiroshi; Dan, Hiroshi A finite element scheme for two-layer viscous shallow-water equations. (English) Zbl 1149.76638 Japan J. Ind. Appl. Math. 23, No. 2, 163-191 (2006). MSC: 76M10 35Q35 65M60 76D05 76D50 86-08 86A05 PDFBibTeX XMLCite \textit{H. Kanayama} and \textit{H. Dan}, Japan J. Ind. Appl. Math. 23, No. 2, 163--191 (2006; Zbl 1149.76638) Full Text: DOI
Kikuchi, Fumio; Liu, Xuefeng Determination of the Babuska-Aziz constant for the linear triangular finite element. (English) Zbl 1098.65107 Japan J. Ind. Appl. Math. 23, No. 1, 75-82 (2006). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{F. Kikuchi} and \textit{X. Liu}, Japan J. Ind. Appl. Math. 23, No. 1, 75--82 (2006; Zbl 1098.65107) Full Text: DOI
Hiyoshi, Hisamoto Suspension bridge effect – a consideration about numerical precision of the natural neighbor interpolation. (English) Zbl 1104.68802 Japan J. Ind. Appl. Math. 22, No. 2, 233-250 (2005). MSC: 68U05 41A30 65D05 65N30 PDFBibTeX XMLCite \textit{H. Hiyoshi}, Japan J. Ind. Appl. Math. 22, No. 2, 233--250 (2005; Zbl 1104.68802) Full Text: DOI
Hashimoto, Kouji; Abe, Ryohei; Nakao, Mitsuhiro T.; Watanabe, Yoshitaka A numerical verification method for solutions of singularly perturbed problems with nonlinearity. (English) Zbl 1071.65110 Japan J. Ind. Appl. Math. 22, No. 1, 111-131 (2005). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L10 65L60 34B15 34E15 65G20 68T15 PDFBibTeX XMLCite \textit{K. Hashimoto} et al., Japan J. Ind. Appl. Math. 22, No. 1, 111--131 (2005; Zbl 1071.65110) Full Text: DOI
Hiraoka, Yasuaki; Ogawa, Toshiyuki Rigorous numerics for localized patterns to the quintic Swift-Hohenberg equation. (English) Zbl 1067.65146 Japan J. Ind. Appl. Math. 22, No. 1, 57-75 (2005). MSC: 65P30 37K50 37M20 PDFBibTeX XMLCite \textit{Y. Hiraoka} and \textit{T. Ogawa}, Japan J. Ind. Appl. Math. 22, No. 1, 57--75 (2005; Zbl 1067.65146) Full Text: DOI
Mizutani, Akira On the finite element method for the biharmonic Dirichlet problem in polygonal domains; quasi-optimal rate of convergence. (English) Zbl 1069.65115 Japan J. Ind. Appl. Math. 22, No. 1, 45-56 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65N12 65N30 35J40 PDFBibTeX XMLCite \textit{A. Mizutani}, Japan J. Ind. Appl. Math. 22, No. 1, 45--56 (2005; Zbl 1069.65115) Full Text: DOI
Tagami, Daisuke; Itoh, Hajime A finite element analysis of thermal convection problems with the Joule heat. (English) Zbl 1038.65098 Japan J. Ind. Appl. Math. 20, No. 2, 193-210 (2003). Reviewer: Emil Minchev (Tokyo) MSC: 65M60 65M15 35K15 80A20 80M10 PDFBibTeX XMLCite \textit{D. Tagami} and \textit{H. Itoh}, Japan J. Ind. Appl. Math. 20, No. 2, 193--210 (2003; Zbl 1038.65098) Full Text: DOI
Kimura, Masato; Notsu, Hirofumi A level set method using the signed distance function. (English) Zbl 1016.65068 Japan J. Ind. Appl. Math. 19, No. 3, 415-446 (2002). Reviewer: Oscar Lopez-Pouso (Santiago de Compostela) MSC: 65M60 65M12 80A22 65M06 35K05 35R35 PDFBibTeX XMLCite \textit{M. Kimura} and \textit{H. Notsu}, Japan J. Ind. Appl. Math. 19, No. 3, 415--446 (2002; Zbl 1016.65068) Full Text: DOI
Tsuchiya, Takuya Finite element approximations of parametrized strongly nonlinear boundary value problems. (English) Zbl 1041.65092 Japan J. Ind. Appl. Math. 19, No. 3, 377-398 (2002). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65J15 65N15 34G20 35J65 PDFBibTeX XMLCite \textit{T. Tsuchiya}, Japan J. Ind. Appl. Math. 19, No. 3, 377--398 (2002; Zbl 1041.65092) Full Text: DOI
Hara, Heihachiro; Mizumoto, Hisao Finite element approximations for \(\Delta u-qu=f\) on a Riemann surface. (English) Zbl 1002.65128 Japan J. Ind. Appl. Math. 19, No. 1, 113-141 (2002). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{H. Hara} and \textit{H. Mizumoto}, Japan J. Ind. Appl. Math. 19, No. 1, 113--141 (2002; Zbl 1002.65128) Full Text: DOI
Kanayama, Hiroshi; Tagami, Daisuke; Saito, Masahiro; Kikuchi, Fumio A numerical method for 3-D eddy current problems. (English) Zbl 0983.78022 Japan J. Ind. Appl. Math. 18, No. 2, 603-612 (2001). Reviewer: Václav Burjan (Praha) MSC: 78M10 78A30 65F10 PDFBibTeX XMLCite \textit{H. Kanayama} et al., Japan J. Ind. Appl. Math. 18, No. 2, 603--612 (2001; Zbl 0983.78022) Full Text: DOI
Tabata, Masahisa Uniform solvability of finite element solutions in approximate domains. (English) Zbl 0985.65142 Japan J. Ind. Appl. Math. 18, No. 2, 567-585 (2001). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N30 PDFBibTeX XMLCite \textit{M. Tabata}, Japan J. Ind. Appl. Math. 18, No. 2, 567--585 (2001; Zbl 0985.65142) Full Text: DOI
Ushijima, Teruo An FEM-CSM combined method for planar exterior Laplace problems. (English) Zbl 0986.65107 Japan J. Ind. Appl. Math. 18, No. 2, 359-382 (2001). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 35J05 78A30 78M10 PDFBibTeX XMLCite \textit{T. Ushijima}, Japan J. Ind. Appl. Math. 18, No. 2, 359--382 (2001; Zbl 0986.65107) Full Text: DOI
Kikuchi, Fumio Theoretical analysis of Nedelec’s edge elements. (English) Zbl 0987.65113 Japan J. Ind. Appl. Math. 18, No. 2, 321-333 (2001). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65N25 65N30 78A25 78M10 65N12 PDFBibTeX XMLCite \textit{F. Kikuchi}, Japan J. Ind. Appl. Math. 18, No. 2, 321--333 (2001; Zbl 0987.65113) Full Text: DOI
Imai, Hitoshi; Kikuchi, Koji; Nakane, Kazuaki; Omata, Seiro; Tachikawa, Tomomi A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type. (English) Zbl 0984.65097 Japan J. Ind. Appl. Math. 18, No. 1, 43-58 (2001). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65M20 65M60 35B40 74S20 35L85 PDFBibTeX XMLCite \textit{H. Imai} et al., Japan J. Ind. Appl. Math. 18, No. 1, 43--58 (2001; Zbl 0984.65097) Full Text: DOI
Tabata, Masahisa; Tagami, Daisuke Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows. (English) Zbl 1306.76026 Japan J. Ind. Appl. Math. 17, No. 3, 371-389 (2000). MSC: 76M10 76D05 65M15 65M60 PDFBibTeX XMLCite \textit{M. Tabata} and \textit{D. Tagami}, Japan J. Ind. Appl. Math. 17, No. 3, 371--389 (2000; Zbl 1306.76026) Full Text: DOI
Nakao, M. T.; Yamamoto, N.; Nagatou, K. Numerical verifications for eigenvalues of second-order elliptic operators. (English) Zbl 1306.65278 Japan J. Ind. Appl. Math. 16, No. 3, 307-320 (1999). MSC: 65N30 35P15 PDFBibTeX XMLCite \textit{M. T. Nakao} et al., Japan J. Ind. Appl. Math. 16, No. 3, 307--320 (1999; Zbl 1306.65278) Full Text: DOI
Butt, Rizwan The material derivative method for shape optimization problem in electro-chemical machining. (English) Zbl 1306.49059 Japan J. Ind. Appl. Math. 14, No. 2, 279-293 (1997). MSC: 49Q10 65N30 PDFBibTeX XMLCite \textit{R. Butt}, Japan J. Ind. Appl. Math. 14, No. 2, 279--293 (1997; Zbl 1306.49059) Full Text: DOI
Nguyen Huu Cong; Mitsui, Taketomo Collocation-based two-step Runge-Kutta methods. (English) Zbl 0941.65072 Japan J. Ind. Appl. Math. 13, No. 1, 171-183 (1996). MSC: 65L06 65L05 34A34 65L60 PDFBibTeX XMLCite \textit{Nguyen Huu Cong} and \textit{T. Mitsui}, Japan J. Ind. Appl. Math. 13, No. 1, 171--183 (1996; Zbl 0941.65072) Full Text: DOI
Agouzal, Abdellatif; Thomas, Jean-Marie An extension theorem for equilibrium finite elements spaces. (English) Zbl 0860.65115 Japan J. Ind. Appl. Math. 13, No. 2, 257-266 (1996). Reviewer: Z.Dżygadło (Warszawa) MSC: 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{A. Agouzal} and \textit{J.-M. Thomas}, Japan J. Ind. Appl. Math. 13, No. 2, 257--266 (1996; Zbl 0860.65115) Full Text: DOI
Dean, E. J.; Glowinski, R.; Trevas, D. A. An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation. (English) Zbl 0874.65073 Japan J. Ind. Appl. Math. 13, No. 3, 495-517 (1996). Reviewer: P.Chocholatý (Bratislava) MSC: 65M60 35K55 PDFBibTeX XMLCite \textit{E. J. Dean} et al., Japan J. Ind. Appl. Math. 13, No. 3, 495--517 (1996; Zbl 0874.65073) Full Text: DOI
Girault, V.; Glowinski, R. Error analysis of a fictitious domain method applied to a Dirichlet problem. (English) Zbl 0843.65076 Japan J. Ind. Appl. Math. 12, No. 3, 487-514 (1995). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{V. Girault} and \textit{R. Glowinski}, Japan J. Ind. Appl. Math. 12, No. 3, 487--514 (1995; Zbl 0843.65076) Full Text: DOI
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques A Lagrange multiplier/fictitious domain method for the Dirichlet problem – generalization to some flow problems. (English) Zbl 0835.76047 Japan J. Ind. Appl. Math. 12, No. 1, 87-108 (1995). Reviewer: K.Georgiev (Sofia) MSC: 76M10 76D05 65M60 PDFBibTeX XMLCite \textit{R. Glowinski} et al., Japan J. Ind. Appl. Math. 12, No. 1, 87--108 (1995; Zbl 0835.76047) Full Text: DOI
Ruas, V. An optimal three-field finite element approximation of the Stokes system with continuous extra stresses. (English) Zbl 0797.76045 Japan J. Ind. Appl. Math. 11, No. 1, 113-130 (1994). MSC: 76M10 76D07 76A10 PDFBibTeX XMLCite \textit{V. Ruas}, Japan J. Ind. Appl. Math. 11, No. 1, 113--130 (1994; Zbl 0797.76045) Full Text: DOI
Kohda, Atsuhito; Shinohara, Yoshitane Numerical analysis of the quasiperiodic solutions to Duffing type equations. (English) Zbl 0807.65076 Japan J. Ind. Appl. Math. 10, No. 3, 367-378 (1993). Reviewer: Z.Schneider (Bratislava) MSC: 65L05 65L70 65L60 34C25 34B30 PDFBibTeX XMLCite \textit{A. Kohda} and \textit{Y. Shinohara}, Japan J. Ind. Appl. Math. 10, No. 3, 367--378 (1993; Zbl 0807.65076) Full Text: DOI
Watanabe, Yoshitaka; Nakao, Mitsuhiro T. Numerical verifications of solutions for nonlinear elliptic equations. (English) Zbl 0784.65082 Japan J. Ind. Appl. Math. 10, No. 1, 165-178 (1993). Reviewer: H.P.Dikshit (Jabalpur) MSC: 65N30 65H10 65N12 35J65 PDFBibTeX XMLCite \textit{Y. Watanabe} and \textit{M. T. Nakao}, Japan J. Ind. Appl. Math. 10, No. 1, 165--178 (1993; Zbl 0784.65082) Full Text: DOI
Tabata, Masahisa; Ozeki, Yoshiichi; Hamada, Hozumi Symmetric finite element computation of convection-diffusion equations on a URR machine. (English) Zbl 0717.65080 Japan J. Ind. Appl. Math. 8, No. 1, 153-163 (1991). Reviewer: P.K.Mahanti MSC: 65N30 76M10 35J15 76R50 PDFBibTeX XMLCite \textit{M. Tabata} et al., Japan J. Ind. Appl. Math. 8, No. 1, 153--163 (1991; Zbl 0717.65080) Full Text: DOI