Maday, Yvon; Marcati, Carlo Analyticity and \(hp\) discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. (English) Zbl 1527.65121 Math. Models Methods Appl. Sci. 33, No. 13, 2657-2701 (2023). MSC: 65N25 35J10 35P30 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Maday} and \textit{C. Marcati}, Math. Models Methods Appl. Sci. 33, No. 13, 2657--2701 (2023; Zbl 1527.65121) Full Text: DOI arXiv
Rukavishnikov, Viktor A.; Rukavishnikov, Alexey V. Theoretical analysis and construction of numerical method for solving the Navier-Stokes equations in rotation form with corner singularity. (English) Zbl 1518.65134 J. Comput. Appl. Math. 429, Article ID 115218, 22 p. (2023). MSC: 65N30 65Z05 35Q30 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{A. V. Rukavishnikov}, J. Comput. Appl. Math. 429, Article ID 115218, 22 p. (2023; Zbl 1518.65134) Full Text: DOI
Marcati, Carlo; Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph Exponential ReLU neural network approximation rates for point and edge singularities. (English) Zbl 1519.35253 Found. Comput. Math. 23, No. 3, 1043-1127 (2023). MSC: 35Q40 41A25 41A46 65N30 68T07 35B65 35P30 35J15 PDFBibTeX XMLCite \textit{C. Marcati} et al., Found. Comput. Math. 23, No. 3, 1043--1127 (2023; Zbl 1519.35253) Full Text: DOI arXiv
Kovtunenko, Victor A.; Ohtsuka, Kohji Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian. (English) Zbl 1492.35184 J. Inverse Ill-Posed Probl. 30, No. 4, 461-474 (2022). MSC: 35Q30 49Q10 49Q12 90C47 PDFBibTeX XMLCite \textit{V. A. Kovtunenko} and \textit{K. Ohtsuka}, J. Inverse Ill-Posed Probl. 30, No. 4, 461--474 (2022; Zbl 1492.35184) Full Text: DOI
Marcati, C.; Rakhuba, M.; Schwab, Ch. Tensor rank bounds for point singularities in \(\mathbb{R}^3\). (English) Zbl 1487.35019 Adv. Comput. Math. 48, No. 3, Paper No. 18, 57 p. (2022). MSC: 35A35 15A69 35J15 41A25 41A46 65N30 PDFBibTeX XMLCite \textit{C. Marcati} et al., Adv. Comput. Math. 48, No. 3, Paper No. 18, 57 p. (2022; Zbl 1487.35019) Full Text: DOI arXiv
Anjam, Yasir Nadeem The qualitative analysis of solution of the Stokes and Navier-Stokes system in non-smooth domains with weighted Sobolev spaces. (English) Zbl 1484.35310 AIMS Math. 6, No. 6, 5647-5674 (2021). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{Y. N. Anjam}, AIMS Math. 6, No. 6, 5647--5674 (2021; Zbl 1484.35310) Full Text: DOI
Chernov, A.; Marcati, C.; Mascotto, L. \(p\)- and \(hp\)-virtual elements for the Stokes problem. (English) Zbl 1475.65187 Adv. Comput. Math. 47, No. 2, Paper No. 24, 31 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{A. Chernov} et al., Adv. Comput. Math. 47, No. 2, Paper No. 24, 31 p. (2021; Zbl 1475.65187) Full Text: DOI arXiv
Ainsworth, Mark; Parker, Charles Mass conserving mixed \(hp\)-FEM approximations to Stokes flow. II: Optimal convergence. (English) Zbl 1465.76050 SIAM J. Numer. Anal. 59, No. 3, 1245-1272 (2021). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{C. Parker}, SIAM J. Numer. Anal. 59, No. 3, 1245--1272 (2021; Zbl 1465.76050) Full Text: DOI
Köhne, Matthias; Saal, Jürgen; Westermann, Laura Optimal Sobolev regularity for the Stokes equations on a 2D wedge domain. (English) Zbl 1458.35301 Math. Ann. 379, No. 1-2, 377-413 (2021). MSC: 35Q30 76D03 35K67 76D07 35K65 35B65 PDFBibTeX XMLCite \textit{M. Köhne} et al., Math. Ann. 379, No. 1--2, 377--413 (2021; Zbl 1458.35301) Full Text: DOI arXiv
Marcati, Carlo; Schwab, Christoph Analytic regularity for the incompressible Navier-Stokes equations in polygons. (English) Zbl 1447.35252 SIAM J. Math. Anal. 52, No. 3, 2945-2968 (2020). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 35A20 76D05 35B65 PDFBibTeX XMLCite \textit{C. Marcati} and \textit{C. Schwab}, SIAM J. Math. Anal. 52, No. 3, 2945--2968 (2020; Zbl 1447.35252) Full Text: DOI arXiv
Mohapatra, S.; Dutt, P.; Rathish Kumar, B. V.; Gerritsma, Marc I. Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains. (English) Zbl 1440.65252 J. Comput. Appl. Math. 372, Article ID 112696, 20 p. (2020). MSC: 65N35 76M22 76D07 65F10 65F08 PDFBibTeX XMLCite \textit{S. Mohapatra} et al., J. Comput. Appl. Math. 372, Article ID 112696, 20 p. (2020; Zbl 1440.65252) Full Text: DOI
Feischl, M.; Schwab, Ch. Exponential convergence in \(H^1\) of hp-FEM for Gevrey regularity with isotropic singularities. (English) Zbl 1433.65290 Numer. Math. 144, No. 2, 323-346 (2020). MSC: 65N30 65N12 65N50 35B65 35J25 PDFBibTeX XMLCite \textit{M. Feischl} and \textit{Ch. Schwab}, Numer. Math. 144, No. 2, 323--346 (2020; Zbl 1433.65290) Full Text: DOI
Rukavishnikov, Viktor A.; Rukavishnikov, Alexey V. Weighted finite element method for the Stokes problem with corner singularity. (English) Zbl 1427.76143 J. Comput. Appl. Math. 341, 144-156 (2018). MSC: 76M10 65N30 35Q30 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{A. V. Rukavishnikov}, J. Comput. Appl. Math. 341, 144--156 (2018; Zbl 1427.76143) Full Text: DOI
Rukavishnikov, V. A.; Rukavishnikov, A. V. New approximate method for solving the Stokes problem in a domain with corner singularity. (English) Zbl 1404.65277 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 1, 95-108 (2018). MSC: 65N30 65Z05 35Q30 76D07 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{A. V. Rukavishnikov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 1, 95--108 (2018; Zbl 1404.65277) Full Text: DOI MNR
Li, Hengguang An anisotropic finite element method on polyhedral domains: interpolation error analysis. (English) Zbl 1447.65153 Math. Comput. 87, No. 312, 1567-1600 (2018). Reviewer: Sarah Eberle (Frankfurt am Main) MSC: 65N30 65N15 65N50 35J15 35J75 PDFBibTeX XMLCite \textit{H. Li}, Math. Comput. 87, No. 312, 1567--1600 (2018; Zbl 1447.65153) Full Text: DOI arXiv
Gunzburger, Max; He, Xiaoming; Li, Buyang On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. (English) Zbl 1465.65094 SIAM J. Numer. Anal. 56, No. 1, 397-427 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65N30 65M22 65M12 65M15 65M55 35M10 35Q35 76D07 76S05 PDFBibTeX XMLCite \textit{M. Gunzburger} et al., SIAM J. Numer. Anal. 56, No. 1, 397--427 (2018; Zbl 1465.65094) Full Text: DOI
Jin, Guanghao; Lee, Young-Ju; Li, Hengguang Regularity estimates and optimal finite element methods in \(W_p^1\) on polygonal domains. (English) Zbl 1397.65271 Comput. Math. Appl. 74, No. 9, 2089-2105 (2017). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{G. Jin} et al., Comput. Math. Appl. 74, No. 9, 2089--2105 (2017; Zbl 1397.65271) Full Text: DOI
Gao, Huadong; Li, Buyang; Sun, Weiwei Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon. (English) Zbl 1368.65159 Numer. Math. 136, No. 2, 383-409 (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M12 65M50 65M60 35K61 65M15 PDFBibTeX XMLCite \textit{H. Gao} et al., Numer. Math. 136, No. 2, 383--409 (2017; Zbl 1368.65159) Full Text: DOI
Li, Hengguang; Zhang, Qinghui Optimal quadrilateral finite elements on polygonal domains. (English) Zbl 1359.65259 J. Sci. Comput. 70, No. 1, 60-84 (2017). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N50 65N15 35J25 PDFBibTeX XMLCite \textit{H. Li} and \textit{Q. Zhang}, J. Sci. Comput. 70, No. 1, 60--84 (2017; Zbl 1359.65259) Full Text: DOI
Glass, O.; Horsin, T. Lagrangian controllability at low Reynolds number. (English) Zbl 1388.93020 ESAIM, Control Optim. Calc. Var. 22, No. 4, 1040-1053 (2016). MSC: 93B05 76D07 76D55 93C20 35Q30 PDFBibTeX XMLCite \textit{O. Glass} and \textit{T. Horsin}, ESAIM, Control Optim. Calc. Var. 22, No. 4, 1040--1053 (2016; Zbl 1388.93020) Full Text: DOI arXiv
Fumagalli, Ivan; Parolini, Nicola; Verani, Marco Shape optimization for Stokes flows: a finite element convergence analysis. (English) Zbl 1320.76068 ESAIM, Math. Model. Numer. Anal. 49, No. 4, 921-951 (2015). MSC: 76M10 76D55 49M25 49Q10 65N15 65N30 PDFBibTeX XMLCite \textit{I. Fumagalli} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 4, 921--951 (2015; Zbl 1320.76068) Full Text: DOI arXiv
Costabel, Martin; Dauge, Monique; Nicaise, Serge Weighted analytic regularity in polyhedra. (English) Zbl 1352.35024 Comput. Math. Appl. 67, No. 4, 807-817 (2014). MSC: 35J25 35B65 65N30 PDFBibTeX XMLCite \textit{M. Costabel} et al., Comput. Math. Appl. 67, No. 4, 807--817 (2014; Zbl 1352.35024) Full Text: DOI
Choi, Hyung Jun; Kweon, Jae Ryong The stationary Navier-Stokes system with no-slip boundary condition on polygons: corner singularity and regularity. (English) Zbl 1300.35069 Commun. Partial Differ. Equations 38, No. 7-9, 1235-1255 (2013). Reviewer: Zhigang Wu (Shanghai) MSC: 35Q30 76D03 76D05 35B44 PDFBibTeX XMLCite \textit{H. J. Choi} and \textit{J. R. Kweon}, Commun. Partial Differ. Equations 38, No. 7--9, 1235--1255 (2013; Zbl 1300.35069) Full Text: DOI
Beneš, Michal A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains. (English) Zbl 1282.76082 Math. Methods Appl. Sci. 36, No. 10, 1290-1300 (2013). MSC: 76D03 76D05 35Q35 PDFBibTeX XMLCite \textit{M. Beneš}, Math. Methods Appl. Sci. 36, No. 10, 1290--1300 (2013; Zbl 1282.76082) Full Text: DOI
Nistor, Victor; Schwab, Christoph High-order Galerkin approximations for parametric second-order elliptic partial differential equations. (English) Zbl 1275.65081 Math. Models Methods Appl. Sci. 23, No. 9, 1729-1760 (2013). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65N15 35J15 65N12 PDFBibTeX XMLCite \textit{V. Nistor} and \textit{C. Schwab}, Math. Models Methods Appl. Sci. 23, No. 9, 1729--1760 (2013; Zbl 1275.65081) Full Text: DOI
Lee, Young-Ju; Li, Hengguang Axisymmetric Stokes equations in polygonal domains: regularity and finite element approximations. (English) Zbl 1268.76021 Comput. Math. Appl. 64, No. 11, 3500-3521 (2012). MSC: 76D07 76M10 65N30 35Q35 65N12 PDFBibTeX XMLCite \textit{Y.-J. Lee} and \textit{H. Li}, Comput. Math. Appl. 64, No. 11, 3500--3521 (2012; Zbl 1268.76021) Full Text: DOI arXiv
Costabel, Martin; Dauge, Monique; Nicaise, Serge Analytic regularity for linear elliptic systems in polygons and polyhedra. (English) Zbl 1257.35056 Math. Models Methods Appl. Sci. 22, No. 8, 1250015, 63 p. (2012). Reviewer: Vladimir Mityushev (Kraków) MSC: 35B65 35J25 65N30 PDFBibTeX XMLCite \textit{M. Costabel} et al., Math. Models Methods Appl. Sci. 22, No. 8, 1250015, 63 p. (2012; Zbl 1257.35056) Full Text: DOI arXiv
Hasler, Urs; Schneebeli, Anna; Schötzau, Dominik Mixed finite element approximation of incompressible MHD problems based on weighted regularization. (English) Zbl 1126.76341 Appl. Numer. Math. 51, No. 1, 19-45 (2004). MSC: 76M10 76W05 65N30 35Q35 65N15 PDFBibTeX XMLCite \textit{U. Hasler} et al., Appl. Numer. Math. 51, No. 1, 19--45 (2004; Zbl 1126.76341) Full Text: DOI