Larson, Mats G.; Zahedi, Sara Stabilization of high order cut finite element methods on surfaces. (English) Zbl 1466.65195 IMA J. Numer. Anal. 40, No. 3, 1702-1745 (2020). MSC: 65N30 65N15 65N12 65F35 35J15 PDF BibTeX XML Cite \textit{M. G. Larson} and \textit{S. Zahedi}, IMA J. Numer. Anal. 40, No. 3, 1702--1745 (2020; Zbl 1466.65195) Full Text: DOI arXiv OpenURL
Kovács, Balázs; Lubich, Christian Linearly implicit full discretization of surface evolution. (English) Zbl 1401.65105 Numer. Math. 140, No. 1, 121-152 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 35R01 65M15 65M12 PDF BibTeX XML Cite \textit{B. Kovács} and \textit{C. Lubich}, Numer. Math. 140, No. 1, 121--152 (2018; Zbl 1401.65105) Full Text: DOI arXiv OpenURL
Wang, Li; Zhong, Hongzhi Upper and lower bounds on quantities of interest for contact problems. (English) Zbl 1439.74231 Comput. Methods Appl. Mech. Eng. 317, 817-835 (2017). MSC: 74M15 PDF BibTeX XML Cite \textit{L. Wang} and \textit{H. Zhong}, Comput. Methods Appl. Mech. Eng. 317, 817--835 (2017; Zbl 1439.74231) Full Text: DOI OpenURL
Gauckler, Ludwig; Yserentant, Harry Structure-preserving discretization of the chemical master equation. (English) Zbl 1378.65032 BIT 57, No. 3, 753-770 (2017). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 65C30 65L05 65L70 80A30 60J27 60H10 60H35 34F05 PDF BibTeX XML Cite \textit{L. Gauckler} and \textit{H. Yserentant}, BIT 57, No. 3, 753--770 (2017; Zbl 1378.65032) Full Text: DOI OpenURL
Dedner, Andreas; Madhavan, Pravin Adaptive discontinuous Galerkin methods on surfaces. (English) Zbl 1336.65189 Numer. Math. 132, No. 2, 369-398 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 58J05 65N15 PDF BibTeX XML Cite \textit{A. Dedner} and \textit{P. Madhavan}, Numer. Math. 132, No. 2, 369--398 (2016; Zbl 1336.65189) Full Text: DOI arXiv Link OpenURL
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. (English) Zbl 1349.65638 J. Comput. Phys. 298, 305-319 (2015). MSC: 65N30 65N15 49K20 49M05 PDF BibTeX XML Cite \textit{Q. Zhang} et al., J. Comput. Phys. 298, 305--319 (2015; Zbl 1349.65638) Full Text: DOI OpenURL
Mansour, Dhia Gauss-Runge-Kutta time discretization of wave equations on evolving surfaces. (English) Zbl 1326.65118 Numer. Math. 129, No. 1, 21-53 (2015). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M15 65M12 65M60 35R01 35R37 35L99 PDF BibTeX XML Cite \textit{D. Mansour}, Numer. Math. 129, No. 1, 21--53 (2015; Zbl 1326.65118) Full Text: DOI OpenURL
Le Gia, Quoc Thong; McLean, William Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions. (English) Zbl 1297.35254 Adv. Comput. Math. 40, No. 2, 353-375 (2014). MSC: 35R01 35K05 65N30 65N15 PDF BibTeX XML Cite \textit{Q. T. Le Gia} and \textit{W. McLean}, Adv. Comput. Math. 40, No. 2, 353--375 (2014; Zbl 1297.35254) Full Text: DOI arXiv OpenURL
Luo, Xianbing; Chen, Yanping; Huang, Yunqing A priori error estimates of Crank-Nicolson finite volume element method for parabolic optimal control problems. (English) Zbl 1288.65132 Adv. Appl. Math. Mech. 5, No. 5, 688-704 (2013). MSC: 65M15 65M08 49M05 35K10 PDF BibTeX XML Cite \textit{X. Luo} et al., Adv. Appl. Math. Mech. 5, No. 5, 688--704 (2013; Zbl 1288.65132) Full Text: DOI OpenURL
Hardering, Hanne Numerical approximation of capillary surfaces in a negative gravitational field. (English) Zbl 1290.83028 Interfaces Free Bound. 15, No. 3, 263-280 (2013). MSC: 83C55 65N15 53A10 65N30 83-08 49M05 PDF BibTeX XML Cite \textit{H. Hardering}, Interfaces Free Bound. 15, No. 3, 263--280 (2013; Zbl 1290.83028) Full Text: DOI OpenURL
Luo, XianBing; Chen, YanPing; Huang, YunQing A priori error estimates of finite volume element method for hyperbolic optimal control problems. (English) Zbl 1264.65179 Sci. China, Math. 56, No. 5, 901-914 (2013). MSC: 65N15 65N08 49M05 35L20 PDF BibTeX XML Cite \textit{X. Luo} et al., Sci. China, Math. 56, No. 5, 901--914 (2013; Zbl 1264.65179) Full Text: DOI OpenURL
Meidner, Dominik; Vexler, Boris A priori error estimates for space-time finite element discretization of parabolic optimal control problems. (English) Zbl 1356.49050 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 445-466 (2012). MSC: 49M25 35K20 49J20 49M05 49M15 49M29 49N10 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{D. Meidner} and \textit{B. Vexler}, ISNM, Int. Ser. Numer. Math. 160, 445--466 (2012; Zbl 1356.49050) Full Text: DOI OpenURL
Dziuk, Gerhard; Elliott, Charles M. A fully discrete evolving surface finite element method. (English) Zbl 1267.65128 SIAM J. Numer. Anal. 50, No. 5, 2677-2694 (2012). Reviewer: Pavel Burda (Praha) MSC: 65M60 65M15 35R01 35R37 35K20 PDF BibTeX XML Cite \textit{G. Dziuk} and \textit{C. M. Elliott}, SIAM J. Numer. Anal. 50, No. 5, 2677--2694 (2012; Zbl 1267.65128) Full Text: DOI Link OpenURL
Wachsmuth, Gerd; Wachsmuth, Daniel Convergence and regularization results for optimal control problems with sparsity functional. (English) Zbl 1228.49032 ESAIM, Control Optim. Calc. Var. 17, No. 3, 858-886 (2011). MSC: 49M15 49M05 65N15 65N30 49N45 35J25 PDF BibTeX XML Cite \textit{G. Wachsmuth} and \textit{D. Wachsmuth}, ESAIM, Control Optim. Calc. Var. 17, No. 3, 858--886 (2011; Zbl 1228.49032) Full Text: DOI EuDML OpenURL
Du, Qiang; Ju, Lili; Tian, Li Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces. (English) Zbl 1166.65057 IMA J. Numer. Anal. 29, No. 2, 376-403 (2009). Reviewer: Fuhua Ling (Milpitas) MSC: 65N30 35J40 65N50 65N12 65N15 PDF BibTeX XML Cite \textit{Q. Du} et al., IMA J. Numer. Anal. 29, No. 2, 376--403 (2009; Zbl 1166.65057) Full Text: DOI Link OpenURL
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. (English) Zbl 1094.65125 Springer Series in Computational Mathematics 31. Berlin: Springer (ISBN 3-540-30663-3/hbk). xvii, 644 p. (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65Lxx 34Cxx 37Cxx 37M15 37Jxx 70Fxx 65-02 PDF BibTeX XML Cite \textit{E. Hairer} et al., Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Berlin: Springer (2006; Zbl 1094.65125) Full Text: DOI OpenURL
McLachlan, Robert I.; Perlmutter, Matthew; Quispel, G. R. W. On the nonlinear stability of symplectic integrators. (English) Zbl 1070.65130 BIT 44, No. 1, 99-117 (2004). Reviewer: Anna Maria Cherubini (Lecce) MSC: 65P10 37M15 65P40 58K05 65L06 65L70 37J25 PDF BibTeX XML Cite \textit{R. I. McLachlan} et al., BIT 44, No. 1, 99--117 (2004; Zbl 1070.65130) Full Text: DOI OpenURL
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. (English) Zbl 0994.65135 Springer Series in Computational Mathematics. 31. Berlin: Springer. xiii, 515 p. (2002). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65Lxx 34Cxx 37Cxx 37M15 37Jxx 70Fxx 65-02 PDF BibTeX XML Cite \textit{E. Hairer} et al., Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Berlin: Springer (2002; Zbl 0994.65135) OpenURL
Iserles, Arieh Multistep methods on manifolds. (English) Zbl 0974.65077 IMA J. Numer. Anal. 21, No. 1, 407-419 (2001). Reviewer: Werner M.Seiler (Mannheim) MSC: 65L06 37J15 65P10 37M15 65L80 34A09 65L70 PDF BibTeX XML Cite \textit{A. Iserles}, IMA J. Numer. Anal. 21, No. 1, 407--419 (2001; Zbl 0974.65077) Full Text: DOI OpenURL
Jung, Michael; Maitre, Jean-François Some remarks on the constant in the strengthened CBS inequality: Estimate for hierarchical finite element discretizations of elasticity problems. (English) Zbl 0954.74062 Numer. Methods Partial Differ. Equations 15, No. 4, 469-487 (1999). MSC: 74S05 74B05 65N15 PDF BibTeX XML Cite \textit{M. Jung} and \textit{J.-F. Maitre}, Numer. Methods Partial Differ. Equations 15, No. 4, 469--487 (1999; Zbl 0954.74062) Full Text: DOI OpenURL
Malanowski, Kazimierz Methods of investigating convergence of approximations to quadratic optimal control problems with amplitude constrained control. (English) Zbl 0493.49031 Mathematical methods in operations research, int. Conf., Sofia 1980, 81-101 (1981). MSC: 49M05 49M29 90C20 49M15 65K10 65N15 65N30 PDF BibTeX XML OpenURL
Gietl, Horst Asymptotische Entwicklungen für modifizierte Differenzenverfahren beim Dirichlet-Problem der Poisson-Gleichung in Gebieten mit einspringenden Ecken. (German) Zbl 0448.65061 Fachbereich Mathematik der Technischen Universität München. V, 119 S. (1980). MSC: 65N12 35J05 65N06 65N15 PDF BibTeX XML OpenURL
Kelly, D. W. Bounds on discretization error by special reduced integration of the Lagrange family of finite elements. (English) Zbl 0438.73057 Int. J. Numer. Methods Eng. 15, 1489-1506 (1980). MSC: 74S05 PDF BibTeX XML Cite \textit{D. W. Kelly}, Int. J. Numer. Methods Eng. 15, 1489--1506 (1980; Zbl 0438.73057) Full Text: DOI OpenURL