Brenner, Susanne C.; Jeong, SeongHee; Sung, Li-yeng; Tan, Zhiyu \(C^0\) Interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints. (English) Zbl 07801613 Comput. Math. Appl. 155, 80-90 (2024). MSC: 65-XX 49-XX PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Math. Appl. 155, 80--90 (2024; Zbl 07801613) Full Text: DOI
Xu, Hao; Wang, Zeng-Qi Rotated block diagonal preconditioners for Navier-Stokes control problems. (English) Zbl 07784343 Comput. Math. Appl. 154, 1-11 (2024). MSC: 65F10 65F08 65K10 35Q30 49J20 PDFBibTeX XMLCite \textit{H. Xu} and \textit{Z.-Q. Wang}, Comput. Math. Appl. 154, 1--11 (2024; Zbl 07784343) Full Text: DOI
Gatto, Paolo; Planas, Ramon; Romero-Hinrichsen, Francisco; Henriksson, Tommy; El-Salloum, Christian; Khavari, Abdolrahman; Pearce, Stephen Computational aspects of electromagnetic tomography. (English) Zbl 07784340 Comput. Math. Appl. 153, 249-255 (2024). MSC: 65-XX 35R30 92C55 65F05 65-02 35P25 PDFBibTeX XMLCite \textit{P. Gatto} et al., Comput. Math. Appl. 153, 249--255 (2024; Zbl 07784340) Full Text: DOI
Berrone, Stefano; Giverso, Chiara; Grappein, Denise; Preziosi, Luigi; Scialò, Stefano An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis. (English) Zbl 07783939 Comput. Math. Appl. 151, 252-270 (2023). MSC: 92C32 92C35 92C17 92C15 35Q92 49J20 PDFBibTeX XMLCite \textit{S. Berrone} et al., Comput. Math. Appl. 151, 252--270 (2023; Zbl 07783939) Full Text: DOI arXiv
Mishra, Bhaskar; Peters, Jörg Polyhedral control-net splines for analysis. (English) Zbl 07783936 Comput. Math. Appl. 151, 215-221 (2023). MSC: 65D07 65D17 74S05 41A15 74P99 PDFBibTeX XMLCite \textit{B. Mishra} and \textit{J. Peters}, Comput. Math. Appl. 151, 215--221 (2023; Zbl 07783936) Full Text: DOI
Bollapragada, Raghu; Karamanli, Cem; Keith, Brendan; Lazarov, Boyan; Petrides, Socratis; Wang, Jingyi An adaptive sampling augmented Lagrangian method for stochastic optimization with deterministic constraints. (English) Zbl 07750320 Comput. Math. Appl. 149, 239-258 (2023). MSC: 90C30 90C15 90C25 65K05 90C06 PDFBibTeX XMLCite \textit{R. Bollapragada} et al., Comput. Math. Appl. 149, 239--258 (2023; Zbl 07750320) Full Text: DOI arXiv
Chakib, Abdelkrim; Khalil, Ibrahim A new numerical approach for solving shape optimization fourth-order spectral problems among convex domains. (English) Zbl 07750315 Comput. Math. Appl. 149, 171-189 (2023). MSC: 49Q10 35P15 65N25 74P10 35J40 PDFBibTeX XMLCite \textit{A. Chakib} and \textit{I. Khalil}, Comput. Math. Appl. 149, 171--189 (2023; Zbl 07750315) Full Text: DOI
Fang, Changjie; Yang, Meifang; Migórski, Stanisław Shape optimization for the Stokes hemivariational inequality with slip boundary condition. (English) Zbl 07741334 Comput. Math. Appl. 146, 213-224 (2023). MSC: 49J40 76D07 65N30 76M10 74M15 PDFBibTeX XMLCite \textit{C. Fang} et al., Comput. Math. Appl. 146, 213--224 (2023; Zbl 07741334) Full Text: DOI
Xie, Wenxuan; Xia, Qing; Yu, Qian; Li, Yibao An effective phase field method for topology optimization without the curvature effects. (English) Zbl 07741333 Comput. Math. Appl. 146, 200-212 (2023). MSC: 74P15 65M06 65M12 82C26 74S05 PDFBibTeX XMLCite \textit{W. Xie} et al., Comput. Math. Appl. 146, 200--212 (2023; Zbl 07741333) Full Text: DOI
Dieci, Luca; Omarov, Daniyar Techniques for continuous optimal transport problem. (English) Zbl 07741331 Comput. Math. Appl. 146, 176-191 (2023). MSC: 65-XX 35J96 65N06 65N12 49Q20 65K10 PDFBibTeX XMLCite \textit{L. Dieci} and \textit{D. Omarov}, Comput. Math. Appl. 146, 176--191 (2023; Zbl 07741331) Full Text: DOI
Wodecki, Aleš; Strachota, Pavel; Oberhuber, Tomáš; Škardová, Kateřina; Balázsová, Monika; Bohatý, Michal Numerical optimization of the Dirichlet boundary condition in the phase field model with an application to pure substance solidification. (English) Zbl 07731323 Comput. Math. Appl. 145, 90-105 (2023). MSC: 49J20 49K20 35R35 35K55 35K20 PDFBibTeX XMLCite \textit{A. Wodecki} et al., Comput. Math. Appl. 145, 90--105 (2023; Zbl 07731323) Full Text: DOI arXiv
Zhang, Xindan; Zhao, Jianping; Hou, Yanren A priori error estimates of Crank-Nicolson finite element method for parabolic optimal control problems. (English) Zbl 07731312 Comput. Math. Appl. 144, 274-289 (2023). MSC: 49M25 49J20 65M60 65K10 65N30 PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Math. Appl. 144, 274--289 (2023; Zbl 07731312) Full Text: DOI
Slobodkins, Arkadijs; Tausch, Johannes A node elimination algorithm for cubature of high-dimensional polytopes. (English) Zbl 07731308 Comput. Math. Appl. 144, 229-236 (2023). MSC: 65D32 41A55 65D30 41A63 65-02 PDFBibTeX XMLCite \textit{A. Slobodkins} and \textit{J. Tausch}, Comput. Math. Appl. 144, 229--236 (2023; Zbl 07731308) Full Text: DOI arXiv
Guo, Hongwei; Zhuang, Xiaoying; Alajlan, Naif; Rabczuk, Timon Physics-informed deep learning for melting heat transfer analysis with model-based transfer learning. (English) Zbl 07703992 Comput. Math. Appl. 143, 303-317 (2023). MSC: 68T05 68T07 35Q55 65M12 35Q30 PDFBibTeX XMLCite \textit{H. Guo} et al., Comput. Math. Appl. 143, 303--317 (2023; Zbl 07703992) Full Text: DOI
Liang, Ke; Mu, Jiaqi; Li, Zheng Thermal-mechanical buckling analysis and optimization of the stringer stiffened cylinder using smeared stiffener based reduced-order models. (English) Zbl 07703980 Comput. Math. Appl. 143, 108-118 (2023). MSC: 74G60 65N30 74S05 74F05 74K25 PDFBibTeX XMLCite \textit{K. Liang} et al., Comput. Math. Appl. 143, 108--118 (2023; Zbl 07703980) Full Text: DOI
Yang, Caijie; Sun, Tongjun Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions. (English) Zbl 07692045 Comput. Math. Appl. 140, 211-224 (2023). MSC: 49J20 49K20 65K10 65M15 49M25 PDFBibTeX XMLCite \textit{C. Yang} and \textit{T. Sun}, Comput. Math. Appl. 140, 211--224 (2023; Zbl 07692045) Full Text: DOI
Tushar, Jai; Kumar, Anil; Kumar, Sarvesh Mixed virtual element methods for optimal control of Darcy flow. (English) Zbl 07692040 Comput. Math. Appl. 140, 134-153 (2023). MSC: 65N30 65K10 49J20 49M15 65-02 PDFBibTeX XMLCite \textit{J. Tushar} et al., Comput. Math. Appl. 140, 134--153 (2023; Zbl 07692040) Full Text: DOI
Liu, Chaoyu; Qiao, Zhonghua; Zhang, Qian Multi-phase image segmentation by the Allen-Cahn Chan-Vese model. (English) Zbl 07691977 Comput. Math. Appl. 141, 207-220 (2023). MSC: 68U10 65M12 65K10 65M06 94A08 PDFBibTeX XMLCite \textit{C. Liu} et al., Comput. Math. Appl. 141, 207--220 (2023; Zbl 07691977) Full Text: DOI arXiv
Tannahill, Connor; Wan, Justin MM-ADMM: implicit integration of MMPDEs in parallel. (English) Zbl 07691968 Comput. Math. Appl. 141, 67-79 (2023). MSC: 65N50 65M50 65M55 65M06 65M15 PDFBibTeX XMLCite \textit{C. Tannahill} and \textit{J. Wan}, Comput. Math. Appl. 141, 67--79 (2023; Zbl 07691968) Full Text: DOI
Khandelwal, Rohit; Porwal, Kamana; Singla, Ritesh Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem. (English) Zbl 07674331 Comput. Math. Appl. 137, 147-171 (2023). MSC: 65N30 49J40 65N15 65K10 49M15 PDFBibTeX XMLCite \textit{R. Khandelwal} et al., Comput. Math. Appl. 137, 147--171 (2023; Zbl 07674331) Full Text: DOI arXiv
Shao, Baiqiang; Yang, Haijian; Zhao, Hong-Jie Scalable fully implicit methods for subsurface flows in porous media with fractional derivative. (English) Zbl 07674293 Comput. Math. Appl. 134, 55-65 (2023). MSC: 65M55 35R11 65H05 65K10 PDFBibTeX XMLCite \textit{B. Shao} et al., Comput. Math. Appl. 134, 55--65 (2023; Zbl 07674293) Full Text: DOI
Garg, Divay; Porwal, Kamana Mixed finite element method for a second order Dirichlet boundary control problem. (English) Zbl 07667334 Comput. Math. Appl. 135, 31-59 (2023). MSC: 65N30 49M25 65K10 65N15 49J20 PDFBibTeX XMLCite \textit{D. Garg} and \textit{K. Porwal}, Comput. Math. Appl. 135, 31--59 (2023; Zbl 07667334) Full Text: DOI arXiv
Du, Shaohong; He, Xiaoxia Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates. (English) Zbl 1524.65792 Comput. Math. Appl. 131, 14-25 (2023). MSC: 65N30 49J20 49M25 65K10 65N15 35J25 PDFBibTeX XMLCite \textit{S. Du} and \textit{X. He}, Comput. Math. Appl. 131, 14--25 (2023; Zbl 1524.65792) Full Text: DOI
Zhang, Shun A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs. (English) Zbl 1524.65879 Comput. Math. Appl. 130, 98-104 (2023). MSC: 65N30 65N15 35J25 65N12 65N50 65K10 PDFBibTeX XMLCite \textit{S. Zhang}, Comput. Math. Appl. 130, 98--104 (2023; Zbl 1524.65879) Full Text: DOI arXiv
Bersetche, Francisco M.; Borthagaray, Juan Pablo A deep first-order system least squares method for solving elliptic PDEs. (English) Zbl 1524.65756 Comput. Math. Appl. 129, 136-150 (2023). MSC: 65N30 65N12 65N99 65K10 35J15 68T07 65C05 PDFBibTeX XMLCite \textit{F. M. Bersetche} and \textit{J. P. Borthagaray}, Comput. Math. Appl. 129, 136--150 (2023; Zbl 1524.65756) Full Text: DOI arXiv
Gudi, Thirupathi; Sau, Ramesh Ch. A two level finite element method for Stokes constrained Dirichlet boundary control problem. (English) Zbl 1524.65806 Comput. Math. Appl. 129, 126-135 (2023). MSC: 65N30 49J20 74S05 65K10 35Q35 49M41 76D07 65N15 PDFBibTeX XMLCite \textit{T. Gudi} and \textit{R. Ch. Sau}, Comput. Math. Appl. 129, 126--135 (2023; Zbl 1524.65806) Full Text: DOI arXiv
Alosaimi, M.; Lesnic, D. Determination of a space-dependent source in the thermal-wave model of bio-heat transfer. (English) Zbl 1524.65308 Comput. Math. Appl. 129, 34-49 (2023). MSC: 65M06 35R30 35L20 65J20 35K20 35R25 35A15 65K10 65N06 65M22 65M30 80A19 35Q92 PDFBibTeX XMLCite \textit{M. Alosaimi} and \textit{D. Lesnic}, Comput. Math. Appl. 129, 34--49 (2023; Zbl 1524.65308) Full Text: DOI
Pártl, Ondřej; Wilbrandt, Ulrich; Mura, Joaquín; Caiazzo, Alfonso Reconstruction of flow domain boundaries from velocity data via multi-step optimization of distributed resistance. (English) Zbl 1524.65736 Comput. Math. Appl. 129, 11-33 (2023). MSC: 65N21 65N30 35Q30 76M10 65M60 76D07 92C35 35Q92 76Z05 92C55 76S05 35A15 65K10 35R30 PDFBibTeX XMLCite \textit{O. Pártl} et al., Comput. Math. Appl. 129, 11--33 (2023; Zbl 1524.65736) Full Text: DOI
Pezzano, Stefano; Duvigneau, Régis; Binois, Mickaël Geometrically consistent aerodynamic optimization using an isogeometric discontinuous Galerkin method. (English) Zbl 1504.76048 Comput. Math. Appl. 128, 368-381 (2022). MSC: 76G25 65M60 PDFBibTeX XMLCite \textit{S. Pezzano} et al., Comput. Math. Appl. 128, 368--381 (2022; Zbl 1504.76048) Full Text: DOI
Kumar, Anil; Pani, Amiya K.; Joshi, Mohan C. Approximate controllability of linear parabolic equation with memory. (English) Zbl 1504.65207 Comput. Math. Appl. 128, 320-330 (2022). MSC: 65M60 35Q49 49M41 65K10 93B05 93C20 PDFBibTeX XMLCite \textit{A. Kumar} et al., Comput. Math. Appl. 128, 320--330 (2022; Zbl 1504.65207) Full Text: DOI
Wang, Tao; Li, Binjie; Xie, Xiaoping Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation. (English) Zbl 1504.65216 Comput. Math. Appl. 128, 1-11 (2022). MSC: 65M60 35R11 49M41 PDFBibTeX XMLCite \textit{T. Wang} et al., Comput. Math. Appl. 128, 1--11 (2022; Zbl 1504.65216) Full Text: DOI arXiv
Karageorghis, Andreas; Chen, C. S. Training RBF neural networks for the solution of elliptic boundary value problems. (English) Zbl 1524.65890 Comput. Math. Appl. 126, 196-211 (2022). MSC: 65N35 68T05 92B20 65D05 65D12 35J30 65K10 35Q82 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{C. S. Chen}, Comput. Math. Appl. 126, 196--211 (2022; Zbl 1524.65890) Full Text: DOI
Ebeling-Rump, Moritz; Hömberg, Dietmar; Lasarzik, Robert Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint. (English) Zbl 1524.49076 Comput. Math. Appl. 126, 100-114 (2022). MSC: 49Q20 49Q10 74P15 65K10 49N60 PDFBibTeX XMLCite \textit{M. Ebeling-Rump} et al., Comput. Math. Appl. 126, 100--114 (2022; Zbl 1524.49076) Full Text: DOI
Li, Xiaodong; Hulshoff, Steven; Hickel, Stefan An enhanced algorithm for online proper orthogonal decomposition and its parallelization for unsteady simulations. (English) Zbl 1524.49057 Comput. Math. Appl. 126, 43-59 (2022). MSC: 49M25 65F15 65N30 76D55 15A23 PDFBibTeX XMLCite \textit{X. Li} et al., Comput. Math. Appl. 126, 43--59 (2022; Zbl 1524.49057) Full Text: DOI
Zhang, Zemian; Chen, Xuesong A global convergent semi-smooth Newton method for semi-linear elliptic optimal control problem. (English) Zbl 1524.49008 Comput. Math. Appl. 120, 15-27 (2022). MSC: 49J20 65K10 49M15 49K20 49M25 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{X. Chen}, Comput. Math. Appl. 120, 15--27 (2022; Zbl 1524.49008) Full Text: DOI
Zheng, Zhiyin; Li, Xiaolin Theoretical analysis of the generalized finite difference method. (English) Zbl 1524.65722 Comput. Math. Appl. 120, 1-14 (2022). MSC: 65N06 65M06 65N15 41A58 65K10 65N35 65F35 PDFBibTeX XMLCite \textit{Z. Zheng} and \textit{X. Li}, Comput. Math. Appl. 120, 1--14 (2022; Zbl 1524.65722) Full Text: DOI
Bartels, Sören; Keller, Hedwig; Wachsmuth, Gerd Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation. (English) Zbl 1524.49073 Comput. Math. Appl. 119, 327-339 (2022). MSC: 49Q10 65N30 65K10 65N15 PDFBibTeX XMLCite \textit{S. Bartels} et al., Comput. Math. Appl. 119, 327--339 (2022; Zbl 1524.49073) Full Text: DOI arXiv
Loli, Gabriele; Sangalli, Giancarlo; Tani, Mattia Easy and efficient preconditioning of the isogeometric mass matrix. (English) Zbl 1524.65841 Comput. Math. Appl. 116, 245-264 (2022). MSC: 65N30 65D07 41A15 65M60 74S05 65F08 65F10 65M06 65F35 65N50 49M41 65M55 PDFBibTeX XMLCite \textit{G. Loli} et al., Comput. Math. Appl. 116, 245--264 (2022; Zbl 1524.65841) Full Text: DOI arXiv
Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. (English) Zbl 1524.65506 Comput. Math. Appl. 116, 71-81 (2022). MSC: 65M60 65N30 35J20 76D05 49K20 65M06 76M10 76M20 65M15 65M12 93B25 65Y05 80A19 49M41 PDFBibTeX XMLCite \textit{J. Andrej} et al., Comput. Math. Appl. 116, 71--81 (2022; Zbl 1524.65506) Full Text: DOI arXiv
Adak, D.; Manzini, G.; Natarajan, S. Virtual element approximation of two-dimensional parabolic variational inequalities. (English) Zbl 1524.65500 Comput. Math. Appl. 116, 48-70 (2022). MSC: 65M60 49J40 65M06 65N30 65M12 65M15 35B65 49J35 65N50 65K10 PDFBibTeX XMLCite \textit{D. Adak} et al., Comput. Math. Appl. 116, 48--70 (2022; Zbl 1524.65500) Full Text: DOI arXiv
Nguyen, Son H.; Nguyen, Tan N.; Nguyen-Thoi, Trung A finite element level-set method for stress-based topology optimization of plate structures. (English) Zbl 1524.74438 Comput. Math. Appl. 115, 26-40 (2022). MSC: 74S05 74P15 74K20 PDFBibTeX XMLCite \textit{S. H. Nguyen} et al., Comput. Math. Appl. 115, 26--40 (2022; Zbl 1524.74438) Full Text: DOI
Park, Jongho Additive Schwarz methods for convex optimization with backtracking. (English) Zbl 1504.65129 Comput. Math. Appl. 113, 332-344 (2022). MSC: 65K10 65N55 PDFBibTeX XMLCite \textit{J. Park}, Comput. Math. Appl. 113, 332--344 (2022; Zbl 1504.65129) Full Text: DOI arXiv
Liu, Min; Cai, Zhiqiang Adaptive two-layer ReLU neural network. II: Ritz approximation to elliptic PDEs. (English) Zbl 1524.65939 Comput. Math. Appl. 113, 103-116 (2022). MSC: 65N99 68T07 65D07 65N30 65K10 35J05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{Z. Cai}, Comput. Math. Appl. 113, 103--116 (2022; Zbl 1524.65939) Full Text: DOI arXiv
Liang, Ke; Li, Zheng A novel nonlinear FE perturbation method and its application to stacking sequence optimization for snap-through response of cylindrical shell panel. (English) Zbl 1524.74143 Comput. Math. Appl. 112, 154-166 (2022). MSC: 74G60 74S05 65N30 74K25 65D07 PDFBibTeX XMLCite \textit{K. Liang} and \textit{Z. Li}, Comput. Math. Appl. 112, 154--166 (2022; Zbl 1524.74143) Full Text: DOI
Deng, Xiaomao; Liao, Zi-Ju; Cai, Xiao-Chuan An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems. (English) Zbl 1524.65477 Comput. Math. Appl. 111, 98-108 (2022). MSC: 65M32 35R30 35K20 65J20 65M60 65M55 49M41 65F10 65M08 65Y05 93B30 PDFBibTeX XMLCite \textit{X. Deng} et al., Comput. Math. Appl. 111, 98--108 (2022; Zbl 1524.65477) Full Text: DOI
Yodono, Takashi; Yaji, Kentaro; Yamada, Takayuki; Furuta, Kozo; Izui, Kazuhiro; Nishiwaki, Shinji Topology optimization for the elastic field using the lattice Boltzmann method. (English) Zbl 1524.76315 Comput. Math. Appl. 110, 123-134 (2022). MSC: 76M28 74P15 76D55 74F10 76N25 PDFBibTeX XMLCite \textit{T. Yodono} et al., Comput. Math. Appl. 110, 123--134 (2022; Zbl 1524.76315) Full Text: DOI
Bołbotowski, Karol Optimal vault problem – form finding through 2D convex program. (English) Zbl 1524.74390 Comput. Math. Appl. 109, 280-324 (2022). MSC: 74P99 74K10 74P05 49J45 PDFBibTeX XMLCite \textit{K. Bołbotowski}, Comput. Math. Appl. 109, 280--324 (2022; Zbl 1524.74390) Full Text: DOI arXiv
Bacuta, Constantin; Hayes, Daniel; Jacavage, Jacob Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem. (English) Zbl 1524.65748 Comput. Math. Appl. 109, 270-279 (2022). MSC: 65N30 65N12 35J25 65N55 65N22 35B25 65F08 65F10 65N50 65K10 PDFBibTeX XMLCite \textit{C. Bacuta} et al., Comput. Math. Appl. 109, 270--279 (2022; Zbl 1524.65748) Full Text: DOI arXiv
Bokanowski, Olivier; Gammoudi, Nidhal; Zidani, Hasnaa Optimistic planning algorithms for state-constrained optimal control problems. (English) Zbl 1524.49062 Comput. Math. Appl. 109, 158-179 (2022). MSC: 49M99 49K10 65K10 PDFBibTeX XMLCite \textit{O. Bokanowski} et al., Comput. Math. Appl. 109, 158--179 (2022; Zbl 1524.49062) Full Text: DOI HAL
Gałecki, Jakub; Szumbarski, Jacek Adjoint-based optimal control of incompressible flows with convective-like energy-stable open boundary conditions. (English) Zbl 1524.76170 Comput. Math. Appl. 106, 40-56 (2022). MSC: 76D55 76D05 76M10 65N30 65K05 PDFBibTeX XMLCite \textit{J. Gałecki} and \textit{J. Szumbarski}, Comput. Math. Appl. 106, 40--56 (2022; Zbl 1524.76170) Full Text: DOI
Chakraborty, Ankit; Rangarajan, Ajay Mandyam; May, Georg An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model. (English) Zbl 1524.65775 Comput. Math. Appl. 106, 1-17 (2022). MSC: 65N30 65N50 65N15 65N12 65N55 74S05 65K10 PDFBibTeX XMLCite \textit{A. Chakraborty} et al., Comput. Math. Appl. 106, 1--17 (2022; Zbl 1524.65775) Full Text: DOI
Guo, Xu; Wang, Jiansen; Yang, Senlin; Ren, Yuxiao Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks. (English) Zbl 1524.65343 Comput. Math. Appl. 108, 141-158 (2022). MSC: 65M06 86A15 65M60 68T05 35L65 65K10 PDFBibTeX XMLCite \textit{X. Guo} et al., Comput. Math. Appl. 108, 141--158 (2022; Zbl 1524.65343) Full Text: DOI
Lin, Ji; Qiu, Lin; Wang, Fajie Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries. (English) Zbl 1524.65934 Comput. Math. Appl. 105, 94-106 (2022). MSC: 65N80 65N38 35J05 74S15 65N35 41A50 65D30 65K10 65F50 PDFBibTeX XMLCite \textit{J. Lin} et al., Comput. Math. Appl. 105, 94--106 (2022; Zbl 1524.65934) Full Text: DOI
Antunes, Pedro R. S. Numerical calculation of extremal Steklov eigenvalues in 3D and 4D. (English) Zbl 1524.65740 Comput. Math. Appl. 104, 50-58 (2021). MSC: 65N25 35J05 35P15 49Q10 65N80 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Comput. Math. Appl. 104, 50--58 (2021; Zbl 1524.65740) Full Text: DOI arXiv
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela Parameter dependent finite element analysis for ferronematics solutions. (English) Zbl 1524.65844 Comput. Math. Appl. 103, 127-155 (2021). MSC: 65N30 76A15 35Q35 35-02 35B40 65K10 65N15 65N12 35R09 74E15 74F10 76W05 76T20 35Q74 PDFBibTeX XMLCite \textit{R. R. Maity} et al., Comput. Math. Appl. 103, 127--155 (2021; Zbl 1524.65844) Full Text: DOI arXiv
Keith, Brendan A priori error analysis of high-order LL* (FOSLL*) finite element methods. (English) Zbl 1524.65823 Comput. Math. Appl. 103, 12-18 (2021). MSC: 65N30 65N12 35J25 65N15 49M41 65K10 41A25 PDFBibTeX XMLCite \textit{B. Keith}, Comput. Math. Appl. 103, 12--18 (2021; Zbl 1524.65823) Full Text: DOI arXiv
Seyednazari, Salar; Tatari, Mehdi; Mirzaei, Davoud Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs. (English) Zbl 1524.65856 Comput. Math. Appl. 103, 1-11 (2021). MSC: 65N30 65N35 41A63 65N15 41A05 65K10 65D12 65N12 35J25 35A15 PDFBibTeX XMLCite \textit{S. Seyednazari} et al., Comput. Math. Appl. 103, 1--11 (2021; Zbl 1524.65856) Full Text: DOI arXiv
Carere, Giuseppe; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi; Stevenson, Rob A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. (English) Zbl 1524.65771 Comput. Math. Appl. 102, 261-276 (2021). MSC: 65N30 76M10 65M60 65M15 65N12 65M99 65K10 86A05 86-08 49M41 35R60 76U60 PDFBibTeX XMLCite \textit{G. Carere} et al., Comput. Math. Appl. 102, 261--276 (2021; Zbl 1524.65771) Full Text: DOI arXiv
Berrone, Stefano; Vicini, Fabio A reduced basis method for a PDE-constrained optimization formulation in discrete fracture network flow simulations. (English) Zbl 1524.65755 Comput. Math. Appl. 99, 182-194 (2021). MSC: 65N30 76S05 65N15 76M10 65N50 49M41 65N12 35R60 35R02 PDFBibTeX XMLCite \textit{S. Berrone} and \textit{F. Vicini}, Comput. Math. Appl. 99, 182--194 (2021; Zbl 1524.65755) Full Text: DOI
Ullah, Baseer; Siraj-ul-Islam; Ullah, Zahur; Khan, Wajid A parametrized level set based topology optimization method for analysing thermal problems. (English) Zbl 1524.74388 Comput. Math. Appl. 99, 99-112 (2021). MSC: 74P15 49Q10 80A19 65K10 74F05 PDFBibTeX XMLCite \textit{B. Ullah} et al., Comput. Math. Appl. 99, 99--112 (2021; Zbl 1524.74388) Full Text: DOI
Mirfatah, S. M.; Boroomand, B. On the simulation of image-based cellular materials in a meshless style. (English) Zbl 1524.65848 Comput. Math. Appl. 100, 99-125 (2021). MSC: 65N30 74S05 65N35 65D17 35J05 65K10 PDFBibTeX XMLCite \textit{S. M. Mirfatah} and \textit{B. Boroomand}, Comput. Math. Appl. 100, 99--125 (2021; Zbl 1524.65848) Full Text: DOI
Yao, Xin; Wang, Yihe; Leng, Jianxing A general finite element method: extension of variational analysis for nonlinear heat conduction with temperature-dependent properties and boundary conditions, and its implementation as local refinement. (English) Zbl 1524.74450 Comput. Math. Appl. 100, 11-29 (2021). MSC: 74S05 65M60 80A19 65N30 74F05 PDFBibTeX XMLCite \textit{X. Yao} et al., Comput. Math. Appl. 100, 11--29 (2021; Zbl 1524.74450) Full Text: DOI
Vrionis, P. Y.; Samouchos, K. D.; Giannakoglou, K. C. Topology optimization in fluid mechanics using continuous adjoint and the cut-cell method. (English) Zbl 1524.76172 Comput. Math. Appl. 97, 286-297 (2021). MSC: 76D55 76D05 76M10 74P15 76M28 PDFBibTeX XMLCite \textit{P. Y. Vrionis} et al., Comput. Math. Appl. 97, 286--297 (2021; Zbl 1524.76172) Full Text: DOI
El Yazidi, Youness; Ellabib, Abdellatif; Ouakrim, Youssef On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation. (English) Zbl 1524.35749 Comput. Math. Appl. 97, 267-285 (2021). MSC: 35R30 35J25 65N21 65N30 65J20 PDFBibTeX XMLCite \textit{Y. El Yazidi} et al., Comput. Math. Appl. 97, 267--285 (2021; Zbl 1524.35749) Full Text: DOI
Xie, Suqiong; Yaji, Kentaro; Takahashi, Toru; Isakari, Hiroshi; Yoshino, Masato; Matsumoto, Toshiro Topology optimization for incompressible viscous fluid flow using the lattice kinetic scheme. (English) Zbl 1524.76311 Comput. Math. Appl. 97, 251-266 (2021). MSC: 76M28 76D55 76D05 76D07 74P15 PDFBibTeX XMLCite \textit{S. Xie} et al., Comput. Math. Appl. 97, 251--266 (2021; Zbl 1524.76311) Full Text: DOI
Yang, Di; He, Yinnian A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. (English) Zbl 1524.65871 Comput. Math. Appl. 97, 175-206 (2021). MSC: 65N30 65N12 65N15 35J25 65K10 49M41 PDFBibTeX XMLCite \textit{D. Yang} and \textit{Y. He}, Comput. Math. Appl. 97, 175--206 (2021; Zbl 1524.65871) Full Text: DOI arXiv
Tao, Zhen-Zhen; Sun, Bing Galerkin spectral method for a fourth-order optimal control problem with \(H^1\)-norm state constraint. (English) Zbl 1524.49036 Comput. Math. Appl. 97, 1-17 (2021). MSC: 49K20 49M25 49J20 65N15 65K10 PDFBibTeX XMLCite \textit{Z.-Z. Tao} and \textit{B. Sun}, Comput. Math. Appl. 97, 1--17 (2021; Zbl 1524.49036) Full Text: DOI
Assam, Ashwani; Natarajan, Ganesh A novel least squares finite volume scheme for discontinuous diffusion on unstructured meshes. (English) Zbl 1524.65723 Comput. Math. Appl. 96, 120-130 (2021). MSC: 65N08 65N06 76M12 35J25 65N15 65K10 35Q60 35Q35 78M12 PDFBibTeX XMLCite \textit{A. Assam} and \textit{G. Natarajan}, Comput. Math. Appl. 96, 120--130 (2021; Zbl 1524.65723) Full Text: DOI
Chen, Jinyue; Li, Yixin; Hu, Xianliang A two-grid method for the phase-field model of photonic band gap optimization. (English) Zbl 1524.65776 Comput. Math. Appl. 96, 44-54 (2021). MSC: 65N30 65N25 65M60 65N55 35J05 65N12 65N15 78M50 65M06 78M10 78M20 PDFBibTeX XMLCite \textit{J. Chen} et al., Comput. Math. Appl. 96, 44--54 (2021; Zbl 1524.65776) Full Text: DOI
Okubo, Carlos M.; Kiyono, César Y.; Sá, Luís F. N.; Silva, Emílio C. N. Topology optimization applied to 3D rotor flow path design based on the continuous adjoint approach. (English) Zbl 1524.76171 Comput. Math. Appl. 96, 16-30 (2021). MSC: 76D55 76D05 74P15 76M99 74F10 PDFBibTeX XMLCite \textit{C. M. Okubo} et al., Comput. Math. Appl. 96, 16--30 (2021; Zbl 1524.76171) Full Text: DOI
Carstensen, Carsten; Ma, Rui Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates. (English) Zbl 1524.65772 Comput. Math. Appl. 95, 271-281 (2021). MSC: 65N30 65N12 65N50 65N15 35J25 65K10 41A25 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{R. Ma}, Comput. Math. Appl. 95, 271--281 (2021; Zbl 1524.65772) Full Text: DOI
Schafelner, Andreas; Vassilevski, Panayot S. Numerical results for adaptive (negative norm) constrained first order system least squares formulations. (English) Zbl 1524.65591 Comput. Math. Appl. 95, 256-270 (2021). MSC: 65M60 65M50 65M15 65M12 65M55 65F08 65F10 65K10 65Y05 58A12 PDFBibTeX XMLCite \textit{A. Schafelner} and \textit{P. S. Vassilevski}, Comput. Math. Appl. 95, 256--270 (2021; Zbl 1524.65591) Full Text: DOI
Łoś, M.; Muga, I.; Muñoz-Matute, J.; Paszyński, M. Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems. (English) Zbl 1524.65575 Comput. Math. Appl. 95, 200-214 (2021). MSC: 65M60 65N30 76M10 76D07 65N12 76D05 35B25 65M06 65K10 65M15 35Q30 35Q35 PDFBibTeX XMLCite \textit{M. Łoś} et al., Comput. Math. Appl. 95, 200--214 (2021; Zbl 1524.65575) Full Text: DOI arXiv
Li, Jiaqi; Demkowicz, Leszek An \(L^p\)-DPG method for the convection-diffusion problem. (English) Zbl 1524.65833 Comput. Math. Appl. 95, 172-185 (2021). MSC: 65N30 65N12 65N15 46B20 65K10 65J10 41A65 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Demkowicz}, Comput. Math. Appl. 95, 172--185 (2021; Zbl 1524.65833) Full Text: DOI
Kercher, Andrew D.; Corrigan, Andrew A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement. (English) Zbl 1524.65824 Comput. Math. Appl. 95, 143-171 (2021). MSC: 65N30 76M10 65N12 35J25 65N15 65K10 65N50 76N06 35Q30 65M60 65L12 PDFBibTeX XMLCite \textit{A. D. Kercher} and \textit{A. Corrigan}, Comput. Math. Appl. 95, 143--171 (2021; Zbl 1524.65824) Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele Least-squares formulations for eigenvalue problems associated with linear elasticity. (English) Zbl 1524.65741 Comput. Math. Appl. 95, 19-27 (2021). MSC: 65N25 65N30 65N15 65F15 65K10 74B10 PDFBibTeX XMLCite \textit{F. Bertrand} and \textit{D. Boffi}, Comput. Math. Appl. 95, 19--27 (2021; Zbl 1524.65741) Full Text: DOI
Grabski, Jakub Krzysztof; Mrozek, Agata Identification of elastoplastic properties of rods from torsion test using meshless methods and a metaheuristic. (English) Zbl 1524.74311 Comput. Math. Appl. 92, 149-158 (2021). MSC: 74K10 65N80 35R30 90C59 PDFBibTeX XMLCite \textit{J. K. Grabski} and \textit{A. Mrozek}, Comput. Math. Appl. 92, 149--158 (2021; Zbl 1524.74311) Full Text: DOI
Dabaghi, Jad; Delay, Guillaume A unified framework for high-order numerical discretizations of variational inequalities. (English) Zbl 1524.65783 Comput. Math. Appl. 92, 62-75 (2021). MSC: 65N30 49J40 74M15 65K10 65N15 74B05 74M10 35Q74 74K15 PDFBibTeX XMLCite \textit{J. Dabaghi} and \textit{G. Delay}, Comput. Math. Appl. 92, 62--75 (2021; Zbl 1524.65783) Full Text: DOI HAL
Führer, Thomas; Karkulik, Michael Space-time least-squares finite elements for parabolic equations. (English) Zbl 1524.65531 Comput. Math. Appl. 92, 27-36 (2021). MSC: 65M60 65M15 65N30 65M12 76M10 65K10 35K05 35K20 35Q70 65M06 65L06 PDFBibTeX XMLCite \textit{T. Führer} and \textit{M. Karkulik}, Comput. Math. Appl. 92, 27--36 (2021; Zbl 1524.65531) Full Text: DOI arXiv
Bartels, Sören Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. (English) Zbl 1524.65751 Comput. Math. Appl. 93, 214-229 (2021). MSC: 65N30 65N15 35J25 65K10 49M25 PDFBibTeX XMLCite \textit{S. Bartels}, Comput. Math. Appl. 93, 214--229 (2021; Zbl 1524.65751) Full Text: DOI arXiv
Li, Xiaolin; Li, Shuling A linearized element-free Galerkin method for the complex Ginzburg-Landau equation. (English) Zbl 1524.65572 Comput. Math. Appl. 90, 135-147 (2021). MSC: 65M60 35Q56 65M06 65M12 65N30 65M15 65K10 PDFBibTeX XMLCite \textit{X. Li} and \textit{S. Li}, Comput. Math. Appl. 90, 135--147 (2021; Zbl 1524.65572) Full Text: DOI
Alberini, C.; Capitanelli, R.; Finzi Vita, S. A numerical study of a degenerate diffusion equation driven by a Heaviside function. (English) Zbl 1524.49013 Comput. Math. Appl. 89, 139-149 (2021). MSC: 49J40 65K10 35K55 35J20 PDFBibTeX XMLCite \textit{C. Alberini} et al., Comput. Math. Appl. 89, 139--149 (2021; Zbl 1524.49013) Full Text: DOI arXiv
Delendik, K.; Kolyago, N.; Voitik, O. Design and investigation of cooling system for high-power LED luminaire. (English) Zbl 1524.80001 Comput. Math. Appl. 83, 84-94 (2021). MSC: 80A19 76R10 80-05 80M50 80M10 80A21 PDFBibTeX XMLCite \textit{K. Delendik} et al., Comput. Math. Appl. 83, 84--94 (2021; Zbl 1524.80001) Full Text: DOI
Karban, Pavel; Pánek, David; Orosz, Tamás; Petrášová, Iveta; Doležel, Ivo FEM based robust design optimization with Agros and Ārtap. (English) Zbl 1524.90291 Comput. Math. Appl. 81, 618-633 (2021). MSC: 90C30 68T05 68-04 65K05 90C59 PDFBibTeX XMLCite \textit{P. Karban} et al., Comput. Math. Appl. 81, 618--633 (2021; Zbl 1524.90291) Full Text: DOI
Götschel, Sebastian; Schiela, Anton; Weiser, Martin Kaskade 7 – a flexible finite element toolbox. (English) Zbl 1524.65006 Comput. Math. Appl. 81, 444-458 (2021). MSC: 65-04 65N30 65M60 65N50 49M15 65K10 PDFBibTeX XMLCite \textit{S. Götschel} et al., Comput. Math. Appl. 81, 444--458 (2021; Zbl 1524.65006) Full Text: DOI
Maljaars, Jakob M.; Richardson, Chris N.; Sime, Nathan LEoPart: a particle library for FEniCS. (English) Zbl 1524.76292 Comput. Math. Appl. 81, 289-315 (2021). MSC: 76M28 76D05 65N30 65M60 76M10 PDFBibTeX XMLCite \textit{J. M. Maljaars} et al., Comput. Math. Appl. 81, 289--315 (2021; Zbl 1524.76292) Full Text: DOI arXiv
Yu, Yang; Luo, Xiaochuan; Wang, Yuan; Zhang, Huaxi (Yulin) Estimation of boundary condition of two-dimensional nonlinear PDE with application to continuous casting. (English) Zbl 1524.65229 Comput. Math. Appl. 80, No. 12, 3082-3097 (2020). MSC: 65K05 35R30 90C30 90C52 PDFBibTeX XMLCite \textit{Y. Yu} et al., Comput. Math. Appl. 80, No. 12, 3082--3097 (2020; Zbl 1524.65229) Full Text: DOI
Banz, Lothar; Hintermüller, Michael; Schröder, Andreas A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements. (English) Zbl 1524.65234 Comput. Math. Appl. 80, No. 11, 2433-2450 (2020). MSC: 65K10 65N30 49M25 49J20 65N15 PDFBibTeX XMLCite \textit{L. Banz} et al., Comput. Math. Appl. 80, No. 11, 2433--2450 (2020; Zbl 1524.65234) Full Text: DOI
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba Reduced order optimal control of the convective FitzHugh-Nagumo equations. (English) Zbl 1448.49038 Comput. Math. Appl. 79, No. 4, 982-995 (2020). MSC: 49M41 49J20 49M05 49M25 65K10 65M60 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Comput. Math. Appl. 79, No. 4, 982--995 (2020; Zbl 1448.49038) Full Text: DOI arXiv
Sun, Zhen-Wei; Wang, Li ERHSS iteration method for PDE optimal control problem. (English) Zbl 1448.49030 Comput. Math. Appl. 79, No. 3, 656-672 (2020). MSC: 49K20 49M41 65F08 65K10 PDFBibTeX XMLCite \textit{Z.-W. Sun} and \textit{L. Wang}, Comput. Math. Appl. 79, No. 3, 656--672 (2020; Zbl 1448.49030) Full Text: DOI
Torsu, Prosper On variational iterative methods for semilinear problems. (English) Zbl 1447.65163 Comput. Math. Appl. 80, No. 5, 1164-1175 (2020). MSC: 65N30 65N99 65K10 PDFBibTeX XMLCite \textit{P. Torsu}, Comput. Math. Appl. 80, No. 5, 1164--1175 (2020; Zbl 1447.65163) Full Text: DOI arXiv
Wolfmayr, Monika Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems. (English) Zbl 1447.49051 Comput. Math. Appl. 80, No. 5, 1050-1072 (2020). MSC: 49M41 49J20 49M25 65M15 65M60 PDFBibTeX XMLCite \textit{M. Wolfmayr}, Comput. Math. Appl. 80, No. 5, 1050--1072 (2020; Zbl 1447.49051) Full Text: DOI arXiv
Bartels, Sören; Milicevic, Marijo Efficient iterative solution of finite element discretized nonsmooth minimization problems. (English) Zbl 1447.65127 Comput. Math. Appl. 80, No. 5, 588-603 (2020). MSC: 65N30 65N22 65K10 65N12 49M37 90C25 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{M. Milicevic}, Comput. Math. Appl. 80, No. 5, 588--603 (2020; Zbl 1447.65127) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. (English) Zbl 1446.65103 Comput. Math. Appl. 80, No. 1, 247-262 (2020). MSC: 65M60 65N30 65M06 65M12 65M15 65K10 35Q92 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 80, No. 1, 247--262 (2020; Zbl 1446.65103) Full Text: DOI
Yazdani, Shima; Lakzian, Esmail Numerical simulation and passive control of condensing flow through turbine blade by NVD method using Eulerian-Lagrangian model. (English) Zbl 1447.76021 Comput. Math. Appl. 80, No. 1, 140-160 (2020). MSC: 76M20 76T10 76N25 76N06 76F60 80A22 PDFBibTeX XMLCite \textit{S. Yazdani} and \textit{E. Lakzian}, Comput. Math. Appl. 80, No. 1, 140--160 (2020; Zbl 1447.76021) Full Text: DOI
Nguyen, Truong; Isakari, Hiroshi; Takahashi, Toru; Yaji, Kentaro; Yoshino, Masato; Matsumoto, Toshiro Level-set based topology optimization of transient flow using lattice Boltzmann method considering an oscillating flow condition. (English) Zbl 1440.76120 Comput. Math. Appl. 80, No. 1, 82-108 (2020). MSC: 76M28 76D55 76P05 76M10 65M60 PDFBibTeX XMLCite \textit{T. Nguyen} et al., Comput. Math. Appl. 80, No. 1, 82--108 (2020; Zbl 1440.76120) Full Text: DOI
Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. (English) Zbl 1446.65195 Comput. Math. Appl. 80, No. 1, 13-30 (2020). MSC: 65N80 65N35 65N12 35J05 65K10 PDFBibTeX XMLCite \textit{W. Qu} et al., Comput. Math. Appl. 80, No. 1, 13--30 (2020; Zbl 1446.65195) Full Text: DOI
Hào, Dinh Nho; Thanh, Phan Xuan; Bin-Mohsin, Bandar; Cong, Nguyen Huu Stable reconstruction of the initial condition in parabolic equations from boundary observations. (English) Zbl 1446.65096 Comput. Math. Appl. 79, No. 12, 3570-3587 (2020). MSC: 65M32 65N20 65J20 65M60 65N30 65M38 65N38 65M06 65K10 49J20 35K10 PDFBibTeX XMLCite \textit{D. N. Hào} et al., Comput. Math. Appl. 79, No. 12, 3570--3587 (2020; Zbl 1446.65096) Full Text: DOI
Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W. Multigoal-oriented optimal control problems with nonlinear PDE constraints. (English) Zbl 1445.49012 Comput. Math. Appl. 79, No. 10, 3001-3026 (2020). MSC: 49K20 65M60 49M25 49M41 PDFBibTeX XMLCite \textit{B. Endtmayer} et al., Comput. Math. Appl. 79, No. 10, 3001--3026 (2020; Zbl 1445.49012) Full Text: DOI arXiv
He, Linwei; Gilbert, Matthew; Johnson, Thomas; Pritchard, Tom Conceptual design of AM components using layout and geometry optimization. (English) Zbl 1443.65019 Comput. Math. Appl. 78, No. 7, 2308-2324 (2019). MSC: 65D17 65K10 74P15 PDFBibTeX XMLCite \textit{L. He} et al., Comput. Math. Appl. 78, No. 7, 2308--2324 (2019; Zbl 1443.65019) Full Text: DOI