Chrysafinos, Konstantinos; Plaka, Dimitra Analysis and approximations of an optimal control problem for the Allen-Cahn equation. (English) Zbl 07746802 Numer. Math. 155, No. 1-2, 35-82 (2023). MSC: 65M60 65M15 49J20 49K20 35K55 49M41 49M25 PDFBibTeX XMLCite \textit{K. Chrysafinos} and \textit{D. Plaka}, Numer. Math. 155, No. 1--2, 35--82 (2023; Zbl 07746802) Full Text: DOI arXiv
Führer, Thomas; Karkulik, Michael Least-squares finite elements for distributed optimal control problems. (English) Zbl 1521.65125 Numer. Math. 154, No. 3-4, 409-442 (2023). MSC: 65N30 65N12 35F35 65M50 65M15 65K10 35Q79 35Q35 49M41 PDFBibTeX XMLCite \textit{T. Führer} and \textit{M. Karkulik}, Numer. Math. 154, No. 3--4, 409--442 (2023; Zbl 1521.65125) Full Text: DOI arXiv
Calvez, Vincent; Hivert, Hélène; Yoldaş, Havva Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme. (English) Zbl 1518.65083 Numer. Math. 154, No. 1-2, 103-153 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 65M22 45D05 35F21 35B40 49L25 49M41 92D25 35Q92 PDFBibTeX XMLCite \textit{V. Calvez} et al., Numer. Math. 154, No. 1--2, 103--153 (2023; Zbl 1518.65083) Full Text: DOI arXiv
Calzola, Elisa; Carlini, Elisabetta; Dupuis, Xavier; Silva, Francisco J. A semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations with oblique derivatives boundary conditions. (English) Zbl 1505.49022 Numer. Math. 153, No. 1, 49-84 (2023). MSC: 49L12 49L25 35F21 65M12 35K55 49L20 PDFBibTeX XMLCite \textit{E. Calzola} et al., Numer. Math. 153, No. 1, 49--84 (2023; Zbl 1505.49022) Full Text: DOI arXiv
Veldman, D. W. M.; Zuazua, E. A framework for randomized time-splitting in linear-quadratic optimal control. (English) Zbl 1493.49035 Numer. Math. 151, No. 2, 495-549 (2022). MSC: 49N10 49K45 65C99 65L20 37M05 37H05 PDFBibTeX XMLCite \textit{D. W. M. Veldman} and \textit{E. Zuazua}, Numer. Math. 151, No. 2, 495--549 (2022; Zbl 1493.49035) Full Text: DOI arXiv
Carstensen, Carsten; Ngoc Tien Tran Convergent adaptive hybrid higher-order schemes for convex minimization. (English) Zbl 1496.65210 Numer. Math. 151, No. 2, 329-367 (2022). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N12 65N50 65K10 65Y20 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{Ngoc Tien Tran}, Numer. Math. 151, No. 2, 329--367 (2022; Zbl 1496.65210) Full Text: DOI arXiv
Peralta, Gilbert; Kunisch, Karl Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. (English) Zbl 1487.49007 Numer. Math. 150, No. 2, 591-627 (2022). Reviewer: Francesco Rossi (Padova) MSC: 49J20 35L05 65M60 PDFBibTeX XMLCite \textit{G. Peralta} and \textit{K. Kunisch}, Numer. Math. 150, No. 2, 591--627 (2022; Zbl 1487.49007) Full Text: DOI
Casas, Eduardo; Mateos, Mariano; Rösch, Arnd Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations. (English) Zbl 1478.49028 Numer. Math. 149, No. 2, 305-340 (2021). MSC: 49M25 49K20 35J61 65M15 PDFBibTeX XMLCite \textit{E. Casas} et al., Numer. Math. 149, No. 2, 305--340 (2021; Zbl 1478.49028) Full Text: DOI
Bartsch, Jan; Borzì, Alfio; Fanelli, Francesco; Roy, Souvik A numerical investigation of Brockett’s ensemble optimal control problems. (English) Zbl 1518.65097 Numer. Math. 149, No. 1, 1-42 (2021). MSC: 65M08 65L06 65N08 65H10 65F10 35L03 35B09 49K20 49M15 PDFBibTeX XMLCite \textit{J. Bartsch} et al., Numer. Math. 149, No. 1, 1--42 (2021; Zbl 1518.65097) Full Text: DOI
Bokanowski, Olivier; Picarelli, Athena; Reisinger, Christoph Stability and convergence of second order backward differentiation schemes for parabolic Hamilton-Jacobi-Bellman equations. (English) Zbl 1480.65204 Numer. Math. 148, No. 1, 187-222 (2021). MSC: 65M06 65M12 49L12 35K45 35B65 PDFBibTeX XMLCite \textit{O. Bokanowski} et al., Numer. Math. 148, No. 1, 187--222 (2021; Zbl 1480.65204) Full Text: DOI arXiv
Axelsson, Owe; Karátson, János Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks. (English) Zbl 1451.65025 Numer. Math. 146, No. 2, 335-368 (2020). MSC: 65F08 65F10 49M41 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{J. Karátson}, Numer. Math. 146, No. 2, 335--368 (2020; Zbl 1451.65025) Full Text: DOI
Anh, Cung The; Nguyet, Tran Minh Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations. (English) Zbl 1446.49003 Numer. Math. 145, No. 4, 727-769 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49J20 49K20 35Q35 65N30 65K10 PDFBibTeX XMLCite \textit{C. T. Anh} and \textit{T. M. Nguyet}, Numer. Math. 145, No. 4, 727--769 (2020; Zbl 1446.49003) Full Text: DOI arXiv
Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia Convergence of adaptive filtered schemes for first order evolutionary Hamilton-Jacobi equations. (English) Zbl 1453.65214 Numer. Math. 145, No. 2, 271-311 (2020). MSC: 65M06 35F21 49L99 49M25 35D40 PDFBibTeX XMLCite \textit{M. Falcone} et al., Numer. Math. 145, No. 2, 271--311 (2020; Zbl 1453.65214) Full Text: DOI arXiv
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming An ADMM numerical approach to linear parabolic state constrained optimal control problems. (English) Zbl 1436.49042 Numer. Math. 144, No. 4, 931-966 (2020). MSC: 49N05 49J45 90C25 65K05 PDFBibTeX XMLCite \textit{R. Glowinski} et al., Numer. Math. 144, No. 4, 931--966 (2020; Zbl 1436.49042) Full Text: DOI
Winkler, Max Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization. (English) Zbl 1433.49048 Numer. Math. 144, No. 2, 413-445 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49M25 65M60 65N15 35L67 35J25 65N30 PDFBibTeX XMLCite \textit{M. Winkler}, Numer. Math. 144, No. 2, 413--445 (2020; Zbl 1433.49048) Full Text: DOI arXiv
Hu, Weiwei; Shen, Jiguang; Singler, John R.; Zhang, Yangwen; Zheng, Xiaobo A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs. (English) Zbl 1433.65298 Numer. Math. 144, No. 2, 375-411 (2020). MSC: 65N30 49M25 65N12 35B45 PDFBibTeX XMLCite \textit{W. Hu} et al., Numer. Math. 144, No. 2, 375--411 (2020; Zbl 1433.65298) Full Text: DOI arXiv
Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. (English) Zbl 1423.35452 Numer. Math. 143, No. 4, 943-984 (2019). MSC: 35R30 49K20 62K05 65K05 49M25 PDFBibTeX XMLCite \textit{I. Neitzel} et al., Numer. Math. 143, No. 4, 943--984 (2019; Zbl 1423.35452) Full Text: DOI arXiv
Guerand, Jessica; Koumaiha, Marwa Error estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junction. (English) Zbl 1419.65020 Numer. Math. 142, No. 3, 525-575 (2019). MSC: 65M06 65M12 65M15 49L25 35F21 PDFBibTeX XMLCite \textit{J. Guerand} and \textit{M. Koumaiha}, Numer. Math. 142, No. 3, 525--575 (2019; Zbl 1419.65020) Full Text: DOI arXiv
Hernández-Santamaría, Víctor; Lazar, Martin; Zuazua, Enrique Greedy optimal control for elliptic problems and its application to turnpike problems. (English) Zbl 1408.49018 Numer. Math. 141, No. 2, 455-493 (2019). MSC: 49K20 49J20 93C20 49N05 65K10 49M25 PDFBibTeX XMLCite \textit{V. Hernández-Santamaría} et al., Numer. Math. 141, No. 2, 455--493 (2019; Zbl 1408.49018) Full Text: DOI Link
Allaire, G.; Yamada, T. Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. (English) Zbl 1404.35021 Numer. Math. 140, No. 2, 265-326 (2018). MSC: 35B27 49K20 35Q93 PDFBibTeX XMLCite \textit{G. Allaire} and \textit{T. Yamada}, Numer. Math. 140, No. 2, 265--326 (2018; Zbl 1404.35021) Full Text: DOI HAL
John, Lorenz; Swierczynski, Piotr; Wohlmuth, Barbara Energy corrected FEM for optimal Dirichlet boundary control problems. (English) Zbl 1397.49006 Numer. Math. 139, No. 4, 913-938 (2018). MSC: 49J20 65N12 65N15 65N30 49K20 49M30 49N60 PDFBibTeX XMLCite \textit{L. John} et al., Numer. Math. 139, No. 4, 913--938 (2018; Zbl 1397.49006) Full Text: DOI
Pearson, John W.; Gondzio, Jacek Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization. (English) Zbl 1379.65042 Numer. Math. 137, No. 4, 959-999 (2017). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K10 65F08 93C20 90C20 90C51 49J20 49M37 49M15 PDFBibTeX XMLCite \textit{J. W. Pearson} and \textit{J. Gondzio}, Numer. Math. 137, No. 4, 959--999 (2017; Zbl 1379.65042) Full Text: DOI
Wachsmuth, Gerd Conforming approximation of convex functions with the finite element method. (English) Zbl 1385.65043 Numer. Math. 137, No. 3, 741-772 (2017). Reviewer: Ctirad Matonoha (Prague) MSC: 65K10 90C59 49J20 49M37 90C25 PDFBibTeX XMLCite \textit{G. Wachsmuth}, Numer. Math. 137, No. 3, 741--772 (2017; Zbl 1385.65043) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J. Adaptive finite element methods for an optimal control problem involving Dirac measures. (English) Zbl 1375.49049 Numer. Math. 137, No. 1, 159-197 (2017). MSC: 49N10 49J20 49M25 65K10 65N15 65N30 65N50 65Y20 PDFBibTeX XMLCite \textit{A. Allendes} et al., Numer. Math. 137, No. 1, 159--197 (2017; Zbl 1375.49049) Full Text: DOI arXiv
Gong, Wei; Yan, Ningning Adaptive finite element method for elliptic optimal control problems: convergence and optimality. (English) Zbl 1364.65125 Numer. Math. 135, No. 4, 1121-1170 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{W. Gong} and \textit{N. Yan}, Numer. Math. 135, No. 4, 1121--1170 (2017; Zbl 1364.65125) Full Text: DOI arXiv
Massoudi, Arash; Opmeer, Mark R.; Reis, Timo The ADI method for bounded real and positive real Lur’e equations. (English) Zbl 1361.65026 Numer. Math. 135, No. 2, 431-458 (2017). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F30 15A24 93B52 65K10 65F10 PDFBibTeX XMLCite \textit{A. Massoudi} et al., Numer. Math. 135, No. 2, 431--458 (2017; Zbl 1361.65026) Full Text: DOI Link
Benamou, Jean-David; Carlier, Guillaume; Mérigot, Quentin; Oudet, Édouard Discretization of functionals involving the Monge-Ampère operator. (English) Zbl 1354.49061 Numer. Math. 134, No. 3, 611-636 (2016). MSC: 49M25 49Q20 52B55 PDFBibTeX XMLCite \textit{J.-D. Benamou} et al., Numer. Math. 134, No. 3, 611--636 (2016; Zbl 1354.49061) Full Text: DOI arXiv
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. (English) Zbl 1344.93109 Numer. Math. 133, No. 1, 67-102 (2016). MSC: 93E20 93C20 49M25 49J55 49N10 60H15 60H35 65K10 65C30 35J20 PDFBibTeX XMLCite \textit{P. Chen} et al., Numer. Math. 133, No. 1, 67--102 (2016; Zbl 1344.93109) Full Text: DOI
De Los Reyes, Juan Carlos; Dhamo, Vili Error estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow. (English) Zbl 1457.65193 Numer. Math. 132, No. 4, 691-720 (2016). MSC: 65N30 65N15 49K20 49M25 35J62 76A05 35Q35 PDFBibTeX XMLCite \textit{J. C. De Los Reyes} and \textit{V. Dhamo}, Numer. Math. 132, No. 4, 691--720 (2016; Zbl 1457.65193) Full Text: DOI
Dang, Duy-Minh; Forsyth, Peter A.; Li, Yuying Convergence of the embedded mean-variance optimal points with discrete sampling. (English) Zbl 1408.65039 Numer. Math. 132, No. 2, 271-302 (2016). MSC: 65K10 91G60 93C20 93E20 PDFBibTeX XMLCite \textit{D.-M. Dang} et al., Numer. Math. 132, No. 2, 271--302 (2016; Zbl 1408.65039) Full Text: DOI
Bretin, Elie; Masnou, Simon; Oudet, Édouard Phase-field approximations of the Willmore functional and flow. (English) Zbl 1326.49018 Numer. Math. 131, No. 1, 115-171 (2015). Reviewer: Bülent Karasözen (Ankara) MSC: 49J45 49Q20 49M25 35K35 35K55 65D15 PDFBibTeX XMLCite \textit{E. Bretin} et al., Numer. Math. 131, No. 1, 115--171 (2015; Zbl 1326.49018) Full Text: DOI arXiv
Takacs, Stefan A robust all-at-once multigrid method for the Stokes control problem. (English) Zbl 1329.76276 Numer. Math. 130, No. 3, 517-540 (2015). MSC: 76M25 76D07 65N55 49J20 76D55 PDFBibTeX XMLCite \textit{S. Takacs}, Numer. Math. 130, No. 3, 517--540 (2015; Zbl 1329.76276) Full Text: DOI arXiv
Of, G.; Phan, T. X.; Steinbach, O. An energy space finite element approach for elliptic Dirichlet boundary control problems. (English) Zbl 1311.49069 Numer. Math. 129, No. 4, 723-748 (2015). MSC: 49M25 65N30 93C20 PDFBibTeX XMLCite \textit{G. Of} et al., Numer. Math. 129, No. 4, 723--748 (2015; Zbl 1311.49069) Full Text: DOI Link
Costeseque, Guillaume; Lebacque, Jean-Patrick; Monneau, Régis A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic. (English) Zbl 1312.65130 Numer. Math. 129, No. 3, 405-447 (2015). Reviewer: Yajuan Sun (Beijing) MSC: 65M06 35F21 65M12 90B20 49L25 PDFBibTeX XMLCite \textit{G. Costeseque} et al., Numer. Math. 129, No. 3, 405--447 (2015; Zbl 1312.65130) Full Text: DOI arXiv
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian Low rank differential equations for Hamiltonian matrix nearness problems. (English) Zbl 1312.65070 Numer. Math. 129, No. 2, 279-319 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 93B36 93B40 49N35 65F15 93B52 93C05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Numer. Math. 129, No. 2, 279--319 (2015; Zbl 1312.65070) Full Text: DOI
Mirebeau, Jean-Marie Efficient fast marching with Finsler metrics. (English) Zbl 1297.65074 Numer. Math. 126, No. 3, 515-557 (2014). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65K10 35F21 49J20 49L25 49N90 PDFBibTeX XMLCite \textit{J.-M. Mirebeau}, Numer. Math. 126, No. 3, 515--557 (2014; Zbl 1297.65074) Full Text: DOI arXiv
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon Generalized polarization tensors for shape description. (English) Zbl 1284.65072 Numer. Math. 126, No. 2, 199-224 (2014). MSC: 65K10 49Q10 49M27 PDFBibTeX XMLCite \textit{H. Ammari} et al., Numer. Math. 126, No. 2, 199--224 (2014; Zbl 1284.65072) Full Text: DOI
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang A discontinuous Galerkin scheme for front propagation with obstacles. (English) Zbl 1291.65182 Numer. Math. 126, No. 1, 1-31 (2014). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{O. Bokanowski} et al., Numer. Math. 126, No. 1, 1--31 (2014; Zbl 1291.65182) Full Text: DOI
Diening, Lars; Kreuzer, Christian; Schwarzacher, Sebastian Convex hull property and maximum principle for finite element minimisers of general convex functionals. (English) Zbl 1284.65075 Numer. Math. 124, No. 4, 685-700 (2013). Reviewer: Roland Pulch (Greifswald) MSC: 65K10 49M25 49J20 PDFBibTeX XMLCite \textit{L. Diening} et al., Numer. Math. 124, No. 4, 685--700 (2013; Zbl 1284.65075) Full Text: DOI arXiv
Lang, J.; Verwer, J. G. W-methods in optimal control. (English) Zbl 1269.65063 Numer. Math. 124, No. 2, 337-360 (2013). MSC: 65K10 49J15 49M25 PDFBibTeX XMLCite \textit{J. Lang} and \textit{J. G. Verwer}, Numer. Math. 124, No. 2, 337--360 (2013; Zbl 1269.65063) Full Text: DOI
Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter Stability estimates and structural spectral properties of saddle point problems. (English) Zbl 1269.65032 Numer. Math. 124, No. 1, 183-213 (2013). Reviewer: Petr Tichý (Prague) MSC: 65F10 65F08 65N22 65K10 49K40 PDFBibTeX XMLCite \textit{W. Krendl} et al., Numer. Math. 124, No. 1, 183--213 (2013; Zbl 1269.65032) Full Text: DOI arXiv
Casas, Eduardo; Herzog, Roland; Wachsmuth, Gerd Approximation of sparse controls in semilinear equations by piecewise linear functions. (English) Zbl 1284.65074 Numer. Math. 122, No. 4, 645-669 (2012). Reviewer: Basilis Kokkinis (Athens) MSC: 65K10 49M25 49J20 PDFBibTeX XMLCite \textit{E. Casas} et al., Numer. Math. 122, No. 4, 645--669 (2012; Zbl 1284.65074) Full Text: DOI
Huang, Yiqing; Forsyth, P. A.; Labahn, G. Iterative methods for the solution of a singular control formulation of a GMWB pricing problem. (English) Zbl 1247.91198 Numer. Math. 122, No. 1, 133-167 (2012). MSC: 91G60 91G80 91B30 49L25 PDFBibTeX XMLCite \textit{Y. Huang} et al., Numer. Math. 122, No. 1, 133--167 (2012; Zbl 1247.91198) Full Text: DOI
Cacace, S.; Chambolle, A.; Monneau, R. A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. (English) Zbl 1248.65097 Numer. Math. 121, No. 2, 281-335 (2012). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 65M06 35F21 49L25 65M12 PDFBibTeX XMLCite \textit{S. Cacace} et al., Numer. Math. 121, No. 2, 281--335 (2012; Zbl 1248.65097) Full Text: DOI
Rösch, Arnd; Wachsmuth, Daniel A-posteriori error estimates for optimal control problems with state and control constraints. (English) Zbl 1247.65087 Numer. Math. 120, No. 4, 733-762 (2012). Reviewer: John T. Coletsos (Athens) MSC: 65K10 49M25 49J20 PDFBibTeX XMLCite \textit{A. Rösch} and \textit{D. Wachsmuth}, Numer. Math. 120, No. 4, 733--762 (2012; Zbl 1247.65087) Full Text: DOI
Neitzel, Ira; Vexler, Boris A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems. (English) Zbl 1245.65074 Numer. Math. 120, No. 2, 345-386 (2012). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65K10 PDFBibTeX XMLCite \textit{I. Neitzel} and \textit{B. Vexler}, Numer. Math. 120, No. 2, 345--386 (2012; Zbl 1245.65074) Full Text: DOI
Schiela, Anton; Günther, Andreas An interior point algorithm with inexact step computation in function space for state constrained optimal control. (English) Zbl 1243.65072 Numer. Math. 119, No. 2, 373-407 (2011). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 90C51 49M05 49J20 49M15 49M37 PDFBibTeX XMLCite \textit{A. Schiela} and \textit{A. Günther}, Numer. Math. 119, No. 2, 373--407 (2011; Zbl 1243.65072) Full Text: DOI
Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa Numerical analysis of an inverse problem for the eikonal equation. (English) Zbl 1244.65093 Numer. Math. 119, No. 2, 245-269 (2011). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 35R30 49J20 49L25 49M25 65M06 35F21 65M32 PDFBibTeX XMLCite \textit{K. Deckelnick} et al., Numer. Math. 119, No. 2, 245--269 (2011; Zbl 1244.65093) Full Text: DOI Link
Ortner, C.; Wollner, W. A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state. (English) Zbl 1228.65097 Numer. Math. 118, No. 3, 587-600 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K10 65N30 49K20 49M25 PDFBibTeX XMLCite \textit{C. Ortner} and \textit{W. Wollner}, Numer. Math. 118, No. 3, 587--600 (2011; Zbl 1228.65097) Full Text: DOI Link
Zou, Qingsong; Veeser, Andreas; Kornhuber, Ralf; Gräser, Carsten Hierarchical error estimates for the energy functional in obstacle problems. (English) Zbl 1218.65067 Numer. Math. 117, No. 4, 653-677 (2011). Reviewer: Ya-Ping Fang (Chengdu) MSC: 65K15 49J40 49M25 PDFBibTeX XMLCite \textit{Q. Zou} et al., Numer. Math. 117, No. 4, 653--677 (2011; Zbl 1218.65067) Full Text: DOI
Benmansour, F.; Carlier, G.; Peyré, G.; Santambrogio, F. Derivatives with respect to metrics and applications: subgradient marching algorithm. (English) Zbl 1202.65078 Numer. Math. 116, No. 3, 357-381 (2010). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 65D25 49K27 49M25 PDFBibTeX XMLCite \textit{F. Benmansour} et al., Numer. Math. 116, No. 3, 357--381 (2010; Zbl 1202.65078) Full Text: DOI HAL
Ekeland, Ivar; Moreno-Bromberg, Santiago An algorithm for computing solutions of variational problems with global convexity constraints. (English) Zbl 1188.65086 Numer. Math. 115, No. 1, 45-69 (2010). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49-04 49M25 49M37 91B30 91B32 PDFBibTeX XMLCite \textit{I. Ekeland} and \textit{S. Moreno-Bromberg}, Numer. Math. 115, No. 1, 45--69 (2010; Zbl 1188.65086) Full Text: DOI arXiv
Stewart, David E.; Anitescu, Mihai Optimal control of systems with discontinuous differential equations. (English) Zbl 1183.49032 Numer. Math. 114, No. 4, 653-695 (2010). MSC: 49M30 34A36 PDFBibTeX XMLCite \textit{D. E. Stewart} and \textit{M. Anitescu}, Numer. Math. 114, No. 4, 653--695 (2010; Zbl 1183.49032) Full Text: DOI
Han, Deren; Xu, Wei; Yang, Hai An operator splitting method for variational inequalities with partially unknown mappings. (English) Zbl 1159.65069 Numer. Math. 111, No. 2, 207-237 (2008). Reviewer: Yves Cherruault (Paris) MSC: 65K10 49J40 49M25 PDFBibTeX XMLCite \textit{D. Han} et al., Numer. Math. 111, No. 2, 207--237 (2008; Zbl 1159.65069) Full Text: DOI
Zhou, Shuzi; Zou, Zhanyong A new iterative method for discrete HJB equations. (English) Zbl 1157.65045 Numer. Math. 111, No. 1, 159-167 (2008). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49J20 49M27 PDFBibTeX XMLCite \textit{S. Zhou} and \textit{Z. Zou}, Numer. Math. 111, No. 1, 159--167 (2008; Zbl 1157.65045) Full Text: DOI
Jakobsen, Espen R.; Karlsen, Kenneth H.; La Chioma, Claudia Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. (English) Zbl 1153.65125 Numer. Math. 110, No. 2, 221-255 (2008). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45K05 49L25 PDFBibTeX XMLCite \textit{E. R. Jakobsen} et al., Numer. Math. 110, No. 2, 221--255 (2008; Zbl 1153.65125) Full Text: DOI Link
Chen, Zhuliang; Forsyth, Peter A. A numerical scheme for the impulse control formulation for pricing variable annuities with a guaranteed minimum withdrawal benefit (GMWB). (English) Zbl 1141.93066 Numer. Math. 109, No. 4, 535-569 (2008). MSC: 93E20 65N06 49L25 91B24 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{P. A. Forsyth}, Numer. Math. 109, No. 4, 535--569 (2008; Zbl 1141.93066) Full Text: DOI
Charina, Maria; Conti, Costanza; Fornasier, Massimo Adaptive frame methods for nonlinear variational problems. (English) Zbl 1148.65049 Numer. Math. 109, No. 1, 45-75 (2008). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65K10 49J27 49M25 65T60 PDFBibTeX XMLCite \textit{M. Charina} et al., Numer. Math. 109, No. 1, 45--75 (2008; Zbl 1148.65049) Full Text: DOI
Hintermüller, M.; Tröltzsch, F.; Yousept, I. Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. (English) Zbl 1143.65051 Numer. Math. 108, No. 4, 571-603 (2008). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Numer. Math. 108, No. 4, 571--603 (2008; Zbl 1143.65051) Full Text: DOI
Becker, Roland; Vexler, Boris Optimal control of the convection-diffusion equation using stabilized finite element methods. (English) Zbl 1133.65037 Numer. Math. 106, No. 3, 349-367 (2007). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{R. Becker} and \textit{B. Vexler}, Numer. Math. 106, No. 3, 349--367 (2007; Zbl 1133.65037) Full Text: DOI
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. (English) Zbl 1103.65100 Numer. Math. 104, No. 4, 413-444 (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M12 65M06 65M15 35L60 49L25 PDFBibTeX XMLCite \textit{O. Alvarez} et al., Numer. Math. 104, No. 4, 413--444 (2006; Zbl 1103.65100) Full Text: DOI
Maday, Yvon; Salomon, Julien; Turinici, Gabriel Monotonic time-discretized schemes in quantum control. (English) Zbl 1095.65058 Numer. Math. 103, No. 2, 323-338 (2006). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49M25 49J20 PDFBibTeX XMLCite \textit{Y. Maday} et al., Numer. Math. 103, No. 2, 323--338 (2006; Zbl 1095.65058) Full Text: DOI
Bonnans, J. Frédéric; Laurent-Varin, Julien Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. (English) Zbl 1112.65063 Numer. Math. 103, No. 1, 1-10 (2006). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49J15 49M25 PDFBibTeX XMLCite \textit{J. F. Bonnans} and \textit{J. Laurent-Varin}, Numer. Math. 103, No. 1, 1--10 (2006; Zbl 1112.65063) Full Text: DOI Link
Caselles, V.; Igual, L.; Sander, O. An axiomatic approach to scalar data interpolation on surfaces. (English) Zbl 1092.65007 Numer. Math. 102, No. 3, 383-411 (2006). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D05 35J70 49L25 PDFBibTeX XMLCite \textit{V. Caselles} et al., Numer. Math. 102, No. 3, 383--411 (2006; Zbl 1092.65007) Full Text: DOI
Brunner, Hermann; Yan, Ningning Finite element methods for optimal control problems governed by integral equations and integro-differential equations. (English) Zbl 1076.65057 Numer. Math. 101, No. 1, 1-27 (2005). Reviewer: J. Lovíšek (Bratislava) MSC: 65K10 49J22 49M15 PDFBibTeX XMLCite \textit{H. Brunner} and \textit{N. Yan}, Numer. Math. 101, No. 1, 1--27 (2005; Zbl 1076.65057) Full Text: DOI
Bartels, Sören; Roubíček, Tomáš Linear-programming approach to nonconvex variational problems. (English) Zbl 1063.65051 Numer. Math. 99, No. 2, 251-287 (2004). Reviewer: Muhammad Aslam Noor (Islamabad) MSC: 65K10 49M37 49J20 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{T. Roubíček}, Numer. Math. 99, No. 2, 251--287 (2004; Zbl 1063.65051) Full Text: DOI
Grüne, Lars Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. (English) Zbl 1074.65009 Numer. Math. 99, No. 1, 85-112 (2004). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65C30 60H15 60H35 49J55 65K10 49M25 65N15 49L20 PDFBibTeX XMLCite \textit{L. Grüne}, Numer. Math. 99, No. 1, 85--112 (2004; Zbl 1074.65009) Full Text: DOI
Briani, Maya; La Chioma, Claudia; Natalini, Roberto Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory. (English) Zbl 1065.65145 Numer. Math. 98, No. 4, 607-646 (2004). Reviewer: Lechoslaw Hącia (Poznań) MSC: 65R20 45K05 45G10 49L25 91G60 91G20 PDFBibTeX XMLCite \textit{M. Briani} et al., Numer. Math. 98, No. 4, 607--646 (2004; Zbl 1065.65145) Full Text: DOI
Deckelnick, Klaus; Hinze, Michael Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. (English) Zbl 1055.76027 Numer. Math. 97, No. 2, 297-320 (2004). MSC: 76M10 76D55 76D05 65N15 PDFBibTeX XMLCite \textit{K. Deckelnick} and \textit{M. Hinze}, Numer. Math. 97, No. 2, 297--320 (2004; Zbl 1055.76027) Full Text: DOI
Hintermüller, Michael; Ring, Wolfgang A level set approach for the solution of a state-constrained optimal control problem. (English) Zbl 1059.65057 Numer. Math. 98, No. 1, 135-166 (2004). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49Q10 49M25 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{W. Ring}, Numer. Math. 98, No. 1, 135--166 (2004; Zbl 1059.65057) Full Text: DOI
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas Pointwise a posteriori error control for elliptic obstacle problems. (English) Zbl 1027.65089 Numer. Math. 95, No. 1, 163-195 (2003). Reviewer: Yves Cherruault (Paris) MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Numer. Math. 95, No. 1, 163--195 (2003; Zbl 1027.65089) Full Text: DOI
Liu, Wenbin; Yan, Ningning A posteriori error estimates for optimal control problems governed by parabolic equations. (English) Zbl 1049.65057 Numer. Math. 93, No. 3, 497-521 (2003). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49J20 65M15 49M25 65M60 PDFBibTeX XMLCite \textit{W. Liu} and \textit{N. Yan}, Numer. Math. 93, No. 3, 497--521 (2003; Zbl 1049.65057) Full Text: DOI
Parés, Carlos; Castro, Manuel; Macías, Jorge On the convergence of the Bermúdez-Moreno algorithm with constant parameters. (English) Zbl 1003.65069 Numer. Math. 92, No. 1, 113-128 (2002). MSC: 65K10 49J40 49M25 PDFBibTeX XMLCite \textit{C. Parés} et al., Numer. Math. 92, No. 1, 113--128 (2002; Zbl 1003.65069) Full Text: DOI
Kornhuber, Ralf On constrained Newton linearization and multigrid for variational inequalities. (English) Zbl 1003.65070 Numer. Math. 91, No. 4, 699-721 (2002). Reviewer: Asaf D.Iskenderov (Baku) MSC: 65K10 49J40 49M15 PDFBibTeX XMLCite \textit{R. Kornhuber}, Numer. Math. 91, No. 4, 699--721 (2002; Zbl 1003.65070) Full Text: DOI
Kružík, Martin; Prohl, Andreas Young measure approximation in micromagnetics. (English) Zbl 0994.65078 Numer. Math. 90, No. 2, 291-307 (2001). Reviewer: Costică Moroşanu (Iaşi) MSC: 65K10 49M15 49J20 78A25 PDFBibTeX XMLCite \textit{M. Kružík} and \textit{A. Prohl}, Numer. Math. 90, No. 2, 291--307 (2001; Zbl 0994.65078) Full Text: DOI
Aranda, Ernesto; Pedegral, Pablo Numerical approximation of non-homogeneous, non-convex vector variational problems. (English) Zbl 1008.65042 Numer. Math. 89, No. 3, 425-444 (2001). MSC: 65K10 49J20 49J45 49M30 PDFBibTeX XMLCite \textit{E. Aranda} and \textit{P. Pedegral}, Numer. Math. 89, No. 3, 425--444 (2001; Zbl 1008.65042) Full Text: DOI
Allaire, Grégoire; Castro, Carlos A new approach for the optimal distribution of assemblies in a nuclear reactor. (English) Zbl 0985.65074 Numer. Math. 89, No. 1, 1-29 (2001). MSC: 65K10 49J20 49M25 82D75 PDFBibTeX XMLCite \textit{G. Allaire} and \textit{C. Castro}, Numer. Math. 89, No. 1, 1--29 (2001; Zbl 0985.65074) Full Text: DOI
Lin, Chi-Tien; Tadmor, Eitan \(L^1\)-stability and error estimates for approximate Hamilton-Jacobi solutions. (English) Zbl 0977.65059 Numer. Math. 87, No. 4, 701-735 (2001). Reviewer: J.Vaníček (Praha) MSC: 65K10 49L25 49M25 65M06 65M12 35L60 PDFBibTeX XMLCite \textit{C.-T. Lin} and \textit{E. Tadmor}, Numer. Math. 87, No. 4, 701--735 (2001; Zbl 0977.65059) Full Text: DOI
Hager, William W. Runge-Kutta methods in optimal control and the transformed adjoint system. (English) Zbl 0991.49020 Numer. Math. 87, No. 2, 247-282 (2000). Reviewer: Viorel Arnăutu (Iaşi) MSC: 49M25 65L06 PDFBibTeX XMLCite \textit{W. W. Hager}, Numer. Math. 87, No. 2, 247--282 (2000; Zbl 0991.49020) Full Text: DOI
Dolzmann, G.; Walkington, N. J. Estimates for numerical approximations of rank one convex envelopes. (English) Zbl 0961.65063 Numer. Math. 85, No. 4, 647-663 (2000). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 PDFBibTeX XMLCite \textit{G. Dolzmann} and \textit{N. J. Walkington}, Numer. Math. 85, No. 4, 647--663 (2000; Zbl 0961.65063) Full Text: DOI
Bourdin, Blaise; Chambolle, Antonin Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. (English) Zbl 0961.65062 Numer. Math. 85, No. 4, 609-646 (2000). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49M15 49J20 PDFBibTeX XMLCite \textit{B. Bourdin} and \textit{A. Chambolle}, Numer. Math. 85, No. 4, 609--646 (2000; Zbl 0961.65062) Full Text: DOI
Carstensen, Carsten; Roubíček, Tomáš Numerical approximation of Young measures in non-convex variational problems. (English) Zbl 0945.65070 Numer. Math. 84, No. 3, 395-415 (2000). Reviewer: Lubomír Bakule (Praha) MSC: 65K10 49J20 49M20 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{T. Roubíček}, Numer. Math. 84, No. 3, 395--415 (2000; Zbl 0945.65070) Full Text: DOI
Grossmann, C.; Ismail, A. Parameter selection rules for path-following with singular embedding. (English) Zbl 0937.65068 Numer. Math. 82, No. 4, 647-675 (1999). Reviewer: G.S.Stavrakakis (Chania) MSC: 65K10 49J20 65H20 PDFBibTeX XMLCite \textit{C. Grossmann} and \textit{A. Ismail}, Numer. Math. 82, No. 4, 647--675 (1999; Zbl 0937.65068) Full Text: DOI
Kossioris, G.; Makridakis, Ch.; Souganidis, P. E. Finite volume schemes for Hamilton-Jacobi equations. (English) Zbl 0938.65089 Numer. Math. 83, No. 3, 427-442 (1999). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65K10 49J15 49L25 49M25 PDFBibTeX XMLCite \textit{G. Kossioris} et al., Numer. Math. 83, No. 3, 427--442 (1999; Zbl 0938.65089) Full Text: DOI
Chipot, Michel The appearance of microstructures in problems with incompatible wells and their numerical approach. (English) Zbl 0937.65070 Numer. Math. 83, No. 3, 325-352 (1999). Reviewer: G.S.Stavrakakis (Chania) MSC: 65K10 49J20 PDFBibTeX XMLCite \textit{M. Chipot}, Numer. Math. 83, No. 3, 325--352 (1999; Zbl 0937.65070) Full Text: DOI
Li, Zhiping Simultaneous numerical approximation of microstructures and relaxed minimizers. (English) Zbl 0890.65067 Numer. Math. 78, No. 1, 21-38 (1997). Reviewer: L.Bakule (Praha) MSC: 65K10 49J15 49M20 PDFBibTeX XMLCite \textit{Z. Li}, Numer. Math. 78, No. 1, 21--38 (1997; Zbl 0890.65067) Full Text: DOI
Gunzburger, Max D.; Hou, L. Steven; Ravindran, S. S. Analysis and approximation of optimal control problems for a simplified Ginzburg-Landau model of superconductivity. (English) Zbl 0894.65028 Numer. Math. 77, No. 2, 243-268 (1997). Reviewer: B.Burrows (Stafford) MSC: 65K10 82D55 35Q72 49M15 49J20 PDFBibTeX XMLCite \textit{M. D. Gunzburger} et al., Numer. Math. 77, No. 2, 243--268 (1997; Zbl 0894.65028) Full Text: DOI
Grüne, Lars An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation. (English) Zbl 0880.65045 Numer. Math. 75, No. 3, 319-337 (1997). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49L25 49J20 49M25 PDFBibTeX XMLCite \textit{L. Grüne}, Numer. Math. 75, No. 3, 319--337 (1997; Zbl 0880.65045) Full Text: DOI Link
Hou, L. Steven; Turner, James C. Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls. (English) Zbl 0827.49002 Numer. Math. 71, No. 3, 289-315 (1995). MSC: 49J20 49K20 65N30 65K10 65N15 PDFBibTeX XMLCite \textit{L. S. Hou} and \textit{J. C. Turner}, Numer. Math. 71, No. 3, 289--315 (1995; Zbl 0827.49002) Full Text: DOI
Lions, P.-L.; Souganidis, P. E. Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. (English) Zbl 0834.65087 Numer. Math. 69, No. 4, 441-470 (1995). Reviewer: L.G.Vulkov (Russe) MSC: 65M12 65M06 65K10 49L99 49M25 35L65 PDFBibTeX XMLCite \textit{P. L. Lions} and \textit{P. E. Souganidis}, Numer. Math. 69, No. 4, 441--470 (1995; Zbl 0834.65087) Full Text: DOI
Elsner, L.; He, C.; Mehrmann, V. Minimizing the condition number of a positive definite matrix by completion. (English) Zbl 0818.15005 Numer. Math. 69, No. 1, 17-23 (1994). Reviewer: A.Bultheel (Leuven) MSC: 15A12 65F35 93B52 PDFBibTeX XMLCite \textit{L. Elsner} et al., Numer. Math. 69, No. 1, 17--23 (1994; Zbl 0818.15005) Full Text: DOI Link
Falcone, Marizio; Ferretti, Roberto Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations. (English) Zbl 0791.65046 Numer. Math. 67, No. 3, 315-344 (1994). Reviewer: Marizio Falcone (Roma) MSC: 65K10 49L20 49L99 PDFBibTeX XMLCite \textit{M. Falcone} and \textit{R. Ferretti}, Numer. Math. 67, No. 3, 315--344 (1994; Zbl 0791.65046) Full Text: DOI
Zhang, L.-Q.; Han, G.-Q. Optimal homotopy methods for solving nonlinear systems. I: Nonsingular homotopy paths. (English) Zbl 0797.65045 Numer. Math. 65, No. 4, 523-538 (1993). Reviewer: Wang Zeke (Guangzhou) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{L. Q. Zhang} and \textit{G. Q. Han}, Numer. Math. 65, No. 4, 523--538 (1993; Zbl 0797.65045) Full Text: DOI EuDML
Lasiecka, Irena Covergence rates for the approximations of the solutions to algebraic Riccati equations with unbounded coefficients: Case of analytic semigroups. (English) Zbl 0766.65055 Numer. Math. 63, No. 3, 357-390 (1992). Reviewer: V.Arnăutu (Iaşi) MSC: 65K10 93D15 93C20 49N35 PDFBibTeX XMLCite \textit{I. Lasiecka}, Numer. Math. 63, No. 3, 357--390 (1992; Zbl 0766.65055) Full Text: DOI EuDML
D’Azevedo, E. F.; Simpson, R. B. On optimal triangular meshes for minimizing the gradient error. (English) Zbl 0724.65006 Numer. Math. 59, No. 4, 321-348 (1991). MSC: 65D05 41A05 41A63 PDFBibTeX XMLCite \textit{E. F. D'Azevedo} and \textit{R. B. Simpson}, Numer. Math. 59, No. 4, 321--348 (1991; Zbl 0724.65006) Full Text: DOI EuDML
Chipot, M. Numerical analysis of oscillations in nonconvex problems. (English) Zbl 0712.65063 Numer. Math. 59, No. 8, 747-768 (1991). Reviewer: M.Chipot MSC: 65K10 49J20 49J40 49M15 PDFBibTeX XMLCite \textit{M. Chipot}, Numer. Math. 59, No. 8, 747--768 (1991; Zbl 0712.65063) Full Text: DOI EuDML
Saha, S.; Das, P. C.; Kishore, N. N. A shape-optimization technique for the capillary surface problem. (English) Zbl 0699.49009 Numer. Math. 58, No. 7, 737-757 (1991). Reviewer: P.C.Das MSC: 49J20 58E12 65M60 90C52 PDFBibTeX XMLCite \textit{S. Saha} et al., Numer. Math. 58, No. 7, 737--757 (1991; Zbl 0699.49009) Full Text: DOI EuDML
Barrett, John W.; Chakrabarti, Roma Finite element approximation of the volume-matching problem. (English) Zbl 0743.65060 Numer. Math. 60, No. 3, 291-313 (1991). Reviewer: P.Laasonen (Helsinki) MSC: 65K10 49M15 49M29 49J40 49J20 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{R. Chakrabarti}, Numer. Math. 60, No. 3, 291--313 (1991; Zbl 0743.65060) Full Text: DOI EuDML
Vuik, C. An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality. (English) Zbl 0696.65069 Numer. Math. 57, No. 5, 453-471 (1990). Reviewer: C.Vuik MSC: 65K10 65N30 35J85 49J40 49M25 49M15 PDFBibTeX XMLCite \textit{C. Vuik}, Numer. Math. 57, No. 5, 453--471 (1990; Zbl 0696.65069) Full Text: DOI EuDML
Berger, Harald A convergent finite element formulation for transonic flow. (English) Zbl 0681.76066 Numer. Math. 56, No. 5, 425-447 (1989). MSC: 76H05 65M99 65N99 35L67 35M99 65L60 65N30 PDFBibTeX XMLCite \textit{H. Berger}, Numer. Math. 56, No. 5, 425--447 (1989; Zbl 0681.76066) Full Text: DOI EuDML