Meyer, C.; Weymuth, M. A priori error analysis for an optimal control problem governed by a variational inequality of the second kind. (English) Zbl 1486.49014 Numer. Funct. Anal. Optim. 43, No. 1, 35-67 (2022). MSC: 49J40 49N60 65G99 65K15 65N30 PDFBibTeX XMLCite \textit{C. Meyer} and \textit{M. Weymuth}, Numer. Funct. Anal. Optim. 43, No. 1, 35--67 (2022; Zbl 1486.49014) Full Text: DOI arXiv
Basson, M.; Stapelberg, B.; van Rensburg, N. F. J. Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second-order hyperbolic equation. (English) Zbl 1372.65269 Numer. Funct. Anal. Optim. 38, No. 4, 466-485 (2017). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{M. Basson} et al., Numer. Funct. Anal. Optim. 38, No. 4, 466--485 (2017; Zbl 1372.65269) Full Text: DOI Link
Wachsmuth, D.; Wurst, J.-E. Optimal control of interface problems with \(hp\)-finite elements. (English) Zbl 1337.49055 Numer. Funct. Anal. Optim. 37, No. 3, 363-390 (2016). MSC: 49M25 49M05 49J20 49N60 65N30 35J25 PDFBibTeX XMLCite \textit{D. Wachsmuth} and \textit{J. E. Wurst}, Numer. Funct. Anal. Optim. 37, No. 3, 363--390 (2016; Zbl 1337.49055) Full Text: DOI
Boulbrachene, Messaoud On the finite element approximation of variational inequalities with noncoercive operators. (English) Zbl 1327.65234 Numer. Funct. Anal. Optim. 36, No. 9, 1107-1121 (2015). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{M. Boulbrachene}, Numer. Funct. Anal. Optim. 36, No. 9, 1107--1121 (2015; Zbl 1327.65234) Full Text: DOI
Shi, Dong-Yang; Tang, Qi-Li Nonconforming \(H^{1}\)-Galerkin mixed finite element method for strongly damped wave equations. (English) Zbl 1284.65138 Numer. Funct. Anal. Optim. 34, No. 12, 1348-1369 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M60 65M12 35L70 65M50 PDFBibTeX XMLCite \textit{D.-Y. Shi} and \textit{Q.-L. Tang}, Numer. Funct. Anal. Optim. 34, No. 12, 1348--1369 (2013; Zbl 1284.65138) Full Text: DOI
Basson, M.; van Rensburg, N. F. J. Galerkin finite element approximation of general linear second order hyperbolic equations. (English) Zbl 1321.65153 Numer. Funct. Anal. Optim. 34, No. 9, 976-1000 (2013). Reviewer: Pavel Burda (Praha) MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{M. Basson} and \textit{N. F. J. van Rensburg}, Numer. Funct. Anal. Optim. 34, No. 9, 976--1000 (2013; Zbl 1321.65153) Full Text: DOI Link
Kröner, Axel Semi-smooth Newton methods for optimal control of the dynamical Lamé system with control constraints. (English) Zbl 1278.49034 Numer. Funct. Anal. Optim. 34, No. 7, 741-769 (2013). Reviewer: Igor Bock (Bratislava) MSC: 49M15 49M25 49J20 65N30 74B05 PDFBibTeX XMLCite \textit{A. Kröner}, Numer. Funct. Anal. Optim. 34, No. 7, 741--769 (2013; Zbl 1278.49034) Full Text: DOI
Tripathy, Madhusmita; Sinha, Rajen Kumar Superconvergence of \(H ^{1}\)-Galerkin mixed finite element methods for second-order elliptic equations. (English) Zbl 1253.65173 Numer. Funct. Anal. Optim. 33, No. 3, 320-337 (2012). Reviewer: Zhiming Chen (Beijing) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{M. Tripathy} and \textit{R. K. Sinha}, Numer. Funct. Anal. Optim. 33, No. 3, 320--337 (2012; Zbl 1253.65173) Full Text: DOI
Goswami, Deepjyoti; Pani, Amiya K. An alternate approach to optimal \(L ^{2}\)-error analysis of semidiscrete Galerkin methods for linear parabolic problems with nonsmooth initial data. (English) Zbl 1243.65111 Numer. Funct. Anal. Optim. 32, No. 9, 946-982 (2011). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M15 35K20 65M60 65M20 65M12 PDFBibTeX XMLCite \textit{D. Goswami} and \textit{A. K. Pani}, Numer. Funct. Anal. Optim. 32, No. 9, 946--982 (2011; Zbl 1243.65111) Full Text: DOI
da Silva, Patrícia Nunes; Boldrini, José Luiz Existence and approximate solutions of a model for Ostwald ripening. (English) Zbl 1158.35055 Numer. Funct. Anal. Optim. 29, No. 7-8, 883-904 (2008). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K55 65M60 80A22 PDFBibTeX XMLCite \textit{P. N. da Silva} and \textit{J. L. Boldrini}, Numer. Funct. Anal. Optim. 29, No. 7--8, 883--904 (2008; Zbl 1158.35055) Full Text: DOI
Vexler, B. Finite element approximation of elliptic Dirichlet optimal control problems. (English) Zbl 1148.65051 Numer. Funct. Anal. Optim. 28, No. 7-8, 957-973 (2007). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{B. Vexler}, Numer. Funct. Anal. Optim. 28, No. 7--8, 957--973 (2007; Zbl 1148.65051) Full Text: DOI
Barrios, Tomás P.; Gatica, Gabriel N.; Paiva, Freddy A priori and a posteriori error analysis of a wavelet-based stabilization for the mixed finite element method. (English) Zbl 1119.65107 Numer. Funct. Anal. Optimization 28, No. 3-4, 265-286 (2007). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N15 65N30 35J25 65T60 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Numer. Funct. Anal. Optim. 28, No. 3--4, 265--286 (2007; Zbl 1119.65107) Full Text: DOI
Sinha, Rajen Kumar; Deka, Bhupen On the convergence of finite element method for second order elliptic interface problems. (English) Zbl 1093.65105 Numer. Funct. Anal. Optimization 27, No. 1, 99-115 (2006). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{R. K. Sinha} and \textit{B. Deka}, Numer. Funct. Anal. Optim. 27, No. 1, 99--115 (2006; Zbl 1093.65105) Full Text: DOI
Bauer, Frank; Freeden, Willi; Schreiner, Michael A tree algorithm for isotropic finite elements on the sphere. (English) Zbl 1092.65126 Numer. Funct. Anal. Optimization 27, No. 1, 1-24 (2006). Reviewer: Manfred Tasche (Rostock) MSC: 65T60 42C40 41A30 44A35 33C55 PDFBibTeX XMLCite \textit{F. Bauer} et al., Numer. Funct. Anal. Optim. 27, No. 1, 1--24 (2006; Zbl 1092.65126) Full Text: DOI Link
Brenner, Susanne C.; Wang, Kening; Zhao, Jie Poincaré–Friedrichs inequalities for piecewise \(H^2\) functions. (English) Zbl 1072.65147 Numer. Funct. Anal. Optimization 25, No. 5-6, 463-478 (2004). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 46E35 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Funct. Anal. Optim. 25, No. 5--6, 463--478 (2004; Zbl 1072.65147) Full Text: DOI
De Schepper, Hennie Finite element approximation of a 2D-1D contact eigenvalue problem. (English) Zbl 1062.65118 Numer. Funct. Anal. Optimization 25, No. 3-4, 349-362 (2004). Reviewer: Karel Najzar (Praha) MSC: 65N25 65N30 65N15 35P15 PDFBibTeX XMLCite \textit{H. De Schepper}, Numer. Funct. Anal. Optim. 25, No. 3--4, 349--362 (2004; Zbl 1062.65118) Full Text: DOI
Gatica, Gabriel N.; Meddahi, Salim A fully discrete Galerkin scheme for a two-fold saddle point formulation of an exterior nonlinear problem. (English) Zbl 1008.65086 Numer. Funct. Anal. Optimization 22, No. 7-8, 885-912 (2001). Reviewer: Ziwen Jiang (Shandong) MSC: 65N30 35J65 65N38 65N12 65N15 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{S. Meddahi}, Numer. Funct. Anal. Optim. 22, No. 7--8, 885--912 (2001; Zbl 1008.65086) Full Text: DOI
Choné, Philippe; Le Meur, Hervé V. J. Non-convergence result for conformal approximation of variational problems subject to a convexity constraint. (English) Zbl 0995.65068 Numer. Funct. Anal. Optimization 22, No. 5-6, 529-547 (2001). Reviewer: Asaf D.Iskenderov (Baku) MSC: 65K10 49M15 49J20 90C25 PDFBibTeX XMLCite \textit{P. Choné} and \textit{H. V. J. Le Meur}, Numer. Funct. Anal. Optim. 22, No. 5--6, 529--547 (2001; Zbl 0995.65068) Full Text: DOI
Negri, Matteo The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional. (English) Zbl 0953.49024 Numer. Funct. Anal. Optimization 20, No. 9-10, 957-982 (1999). Reviewer: L.Ambrosio (Pisa) MSC: 49J45 49Q20 68U10 94A08 PDFBibTeX XMLCite \textit{M. Negri}, Numer. Funct. Anal. Optim. 20, No. 9--10, 957--982 (1999; Zbl 0953.49024) Full Text: DOI
Arnăutu, V.; Hömberg, D.; Sokołowski, J. Convergence results for a nonlinear parabolic control problem. (English) Zbl 0951.49005 Numer. Funct. Anal. Optimization 20, No. 9-10, 805-824 (1999). Reviewer: Igor Bock (Bratislava) MSC: 49J20 65K10 35K55 65M60 PDFBibTeX XMLCite \textit{V. Arnăutu} et al., Numer. Funct. Anal. Optim. 20, No. 9--10, 805--824 (1999; Zbl 0951.49005) Full Text: DOI
Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří On the discrete Friedrichs inequality for nonconforming finite elements. (English) Zbl 0938.65130 Numer. Funct. Anal. Optimization 20, No. 5-6, 437-447 (1999). Reviewer: J.Vaníček (Praha) MSC: 65N30 76M10 35J05 35Q30 76D05 76D07 PDFBibTeX XMLCite \textit{V. Dolejší} et al., Numer. Funct. Anal. Optim. 20, No. 5--6, 437--447 (1999; Zbl 0938.65130) Full Text: DOI
Sinha, R. K.; Pani, A. K. The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. (English) Zbl 0940.65156 Numer. Funct. Anal. Optimization 19, No. 9-10, 1129-1153 (1998). Reviewer: S.Zabek (Lublin) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{R. K. Sinha} and \textit{A. K. Pani}, Numer. Funct. Anal. Optim. 19, No. 9--10, 1129--1153 (1998; Zbl 0940.65156) Full Text: DOI
Cortesani, Guido; Toader, Rodica Finite element approximation of non-isotropic free-discontinuity problems. (English) Zbl 0903.49002 Numer. Funct. Anal. Optimization 18, No. 9-10, 921-940 (1997). Reviewer: L.Ambrosio (Pavia) MSC: 49J10 49J45 49M15 65K10 PDFBibTeX XMLCite \textit{G. Cortesani} and \textit{R. Toader}, Numer. Funct. Anal. Optim. 18, No. 9--10, 921--940 (1997; Zbl 0903.49002) Full Text: DOI
Lefton, Lew; Wei, Dongming Numerical approximation of the first eigenpair of the \(p\)-Laplacian using finite elements and the penalty method. (English) Zbl 0884.65103 Numer. Funct. Anal. Optimization 18, No. 3-4, 389-399 (1997). Reviewer: W.Velte (Würzburg) MSC: 65N25 65N30 35P15 35J70 35P30 49R50 PDFBibTeX XMLCite \textit{L. Lefton} and \textit{D. Wei}, Numer. Funct. Anal. Optim. 18, No. 3--4, 389--399 (1997; Zbl 0884.65103) Full Text: DOI
Bramble, James H.; Zhang, Xuejun Multigrid methods for the biharmonic problem discretized by conforming \(C^ 1\) finite elements on nonnested meshes. (English) Zbl 0842.65081 Numer. Funct. Anal. Optimization 16, No. 7-8, 835-846 (1995). Reviewer: R.Blaheta (Ostrava) MSC: 65N55 65F10 31A30 35J40 65N12 65N30 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{X. Zhang}, Numer. Funct. Anal. Optim. 16, No. 7--8, 835--846 (1995; Zbl 0842.65081) Full Text: DOI
Deng, Qingping; Shen, Shumin A nonconforming finite element method for a fourth-order elliptic variational inequality. (English) Zbl 0797.65051 Numer. Funct. Anal. Optimization 15, No. 1-2, 55-64 (1994). Reviewer: W.Velte (Würzburg) MSC: 65K10 49M15 49J40 74K20 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{S. Shen}, Numer. Funct. Anal. Optim. 15, No. 1--2, 55--64 (1994; Zbl 0797.65051) Full Text: DOI
Gremaud, Pierre-Alain On an elliptic-parabolic problem related to phase transitions in shape memory alloys. (English) Zbl 0792.35080 Numer. Funct. Anal. Optimization 14, No. 3-4, 355-370 (1993). MSC: 35K55 65M60 35M10 65M15 74A15 35D10 PDFBibTeX XMLCite \textit{P.-A. Gremaud}, Numer. Funct. Anal. Optim. 14, No. 3--4, 355--370 (1993; Zbl 0792.35080) Full Text: DOI Link
Roubíček, Tomáš Numerical solution of the nonlinear heat equation in heterogeneous media. (English) Zbl 0702.65094 Numer. Funct. Anal. Optimization 11, No. 7-8, 793-810 (1990). Reviewer: T.Roubíček MSC: 65Z05 65M12 80A22 35K60 35R35 65M60 65M06 PDFBibTeX XMLCite \textit{T. Roubíček}, Numer. Funct. Anal. Optim. 11, No. 7--8, 793--810 (1990; Zbl 0702.65094) Full Text: DOI
Grigorieff, R. D.; Remtsen, R. M. Discrete approximations of minimization problems. II: Applications. (English) Zbl 0743.65059 Numer. Funct. Anal. Optimization 11, No. 7-8, 721-761 (1990). Reviewer: G.Vainikko (Tartu) MSC: 65K05 65K10 90C48 49K27 PDFBibTeX XMLCite \textit{R. D. Grigorieff} and \textit{R. M. Remtsen}, Numer. Funct. Anal. Optim. 11, No. 7--8, 721--761 (1990; Zbl 0743.65059) Full Text: DOI
Wei, Dongming Finite element approximations of solutions to p-harmonic equation with Dirichlet data. (English) Zbl 0711.65093 Numer. Funct. Anal. Optimization 10, No. 11-12, 1235-1251 (1989). Reviewer: N.Herrmann MSC: 65N30 65N12 35J40 PDFBibTeX XMLCite \textit{D. Wei}, Numer. Funct. Anal. Optim. 10, No. 11--12, 1235--1251 (1989; Zbl 0711.65093) Full Text: DOI
Feistauer, Miloslav On the finite element approximation of functions with noninteger derivatives. (English) Zbl 0668.65008 Numer. Funct. Anal. Optimization 10, No. 1-2, 91-110 (1989). Reviewer: G.Stoyan MSC: 65D15 41A30 PDFBibTeX XMLCite \textit{M. Feistauer}, Numer. Funct. Anal. Optim. 10, No. 1--2, 91--110 (1989; Zbl 0668.65008) Full Text: DOI
Nochetto, R. H.; Verdi, C. The combined use of a nonlinear Chernoff formula with a regularization procedure for two-phase Stefan problems. (English) Zbl 0629.35116 Numer. Funct. Anal. Optimization 9(1987-88), No. 11-12, 1177-1192 (1988). MSC: 35R35 35B40 65N30 65N15 PDFBibTeX XMLCite \textit{R. H. Nochetto} and \textit{C. Verdi}, Numer. Funct. Anal. Optim. 9, 1177--1192 (1987; Zbl 0629.35116) Full Text: DOI Link
Verdi, Claudio Optimal error estimates for an approximation of degenerate parabolic problems. (English) Zbl 0598.65091 Numer. Funct. Anal. Optimization 9, 657-670 (1987). MSC: 65Z05 65N30 35K65 35R35 80A32 76S05 PDFBibTeX XMLCite \textit{C. Verdi}, Numer. Funct. Anal. Optim. 9, 657--670 (1987; Zbl 0598.65091) Full Text: DOI
Haslinger, J.; Horák, V.; Neittaanmäki, P. Shape optimization in contact problems with friction. (English) Zbl 0628.73123 Numer. Funct. Anal. Optimization 8(1985-86), 557-587 (1986). Reviewer: M.C.Dökmeci MSC: 74A55 74M15 74P99 74S05 PDFBibTeX XMLCite \textit{J. Haslinger} et al., Numer. Funct. Anal. Optim. 8, 557--587 (1985; Zbl 0628.73123)
Pawlow, Irena; Shindo, Yuji; Sakawa, Yoshiyuki Numerical solution of a multidimensional two-phase Stefan problem. (English) Zbl 0622.65128 Numer. Funct. Anal. Optimization 8, 55-82 (1985). MSC: 65Z05 65K10 35K05 80A17 35R35 65N30 65N22 PDFBibTeX XMLCite \textit{I. Pawlow} et al., Numer. Funct. Anal. Optim. 8, 55--82 (1985; Zbl 0622.65128) Full Text: DOI
Finzi Vita, S. Numerical approximation of variational inequalities with one-sided irregular obstacles. (English) Zbl 0559.65046 Numer. Funct. Anal. Optimization 6, 51-71 (1983). Reviewer: D.Fagé MSC: 65K10 49J40 PDFBibTeX XMLCite \textit{S. Finzi Vita}, Numer. Funct. Anal. Optim. 6, 51--71 (1983; Zbl 0559.65046) Full Text: DOI
Nitsche, J. A.; Wheeler, Mary F. \(L_{\infty}\)-boundedness of the finite element Galerkin operator for parabolic problems. (English) Zbl 0533.65071 Numer. Funct. Anal. Optimization 4, 325-353 (1982). Reviewer: J.Lovíšek MSC: 65N30 65N15 35K05 35G10 35K25 PDFBibTeX XMLCite \textit{J. A. Nitsche} and \textit{M. F. Wheeler}, Numer. Funct. Anal. Optim. 4, 325--353 (1982; Zbl 0533.65071) Full Text: DOI
Neittaanmäki, P.; Saranen, J. Finite element approximation of electromagnetic fields in three dimensional space. (English) Zbl 0451.65087 Numer. Funct. Anal. Optimization 2, 487-506 (1980). MSC: 65Z05 65N30 78A30 35Q99 65N15 PDFBibTeX XMLCite \textit{P. Neittaanmäki} and \textit{J. Saranen}, Numer. Funct. Anal. Optim. 2, 487--506 (1980; Zbl 0451.65087) Full Text: DOI
Scholz, Reinhard Interior error estimates for a mixed finite element method. (English) Zbl 0441.65082 Numer. Funct. Anal. Optimization 1, 415-429 (1979). MSC: 65N30 65N15 35J40 PDFBibTeX XMLCite \textit{R. Scholz}, Numer. Funct. Anal. Optim. 1, 415--429 (1979; Zbl 0441.65082) Full Text: DOI