Ran, Qinghua; Zhang, Jie Optimal control of an elastic-rigid obstacle problem. (English) Zbl 07822401 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107935, 9 p. (2024). MSC: 49J40 74Bxx 49S05 35Jxx 49Kxx PDFBibTeX XMLCite \textit{Q. Ran} and \textit{J. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107935, 9 p. (2024; Zbl 07822401) Full Text: DOI
Christof, Constantin; Kowalczyk, Julia On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs. (English) Zbl 07815233 ESAIM, Control Optim. Calc. Var. 30, Paper No. 16, 53 p. (2024). MSC: 35J91 35J25 35Q93 PDFBibTeX XMLCite \textit{C. Christof} and \textit{J. Kowalczyk}, ESAIM, Control Optim. Calc. Var. 30, Paper No. 16, 53 p. (2024; Zbl 07815233) Full Text: DOI arXiv
Li, Buyang; Qiu, Weifeng; Xie, Yupei; Yu, Wenshan Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. (English) Zbl 1527.65128 Math. Comput. 93, No. 345, 1-34 (2024). MSC: 65N30 65N50 65N12 35J05 35B65 35B20 PDFBibTeX XMLCite \textit{B. Li} et al., Math. Comput. 93, No. 345, 1--34 (2024; Zbl 1527.65128) Full Text: DOI arXiv
Milz, Johannes Reliable error estimates for optimal control of linear elliptic PDEs with random inputs. (English) Zbl 07787060 SIAM/ASA J. Uncertain. Quantif. 11, 1139-1163 (2023). MSC: 90C15 90C60 35Q93 35R60 49M25 49N10 65M60 65C05 PDFBibTeX XMLCite \textit{J. Milz}, SIAM/ASA J. Uncertain. Quantif. 11, 1139--1163 (2023; Zbl 07787060) Full Text: DOI arXiv
Ghenimi, Seyf Eddine; Sengouga, Abdelmouhcene Free vibrations of axially moving strings: energy estimates and boundary observability. (English) Zbl 07784836 Math. Methods Appl. Sci. 46, No. 13, 13716-13730 (2023). MSC: 35L20 35L05 93B07 74K05 74H05 74H45 PDFBibTeX XMLCite \textit{S. E. Ghenimi} and \textit{A. Sengouga}, Math. Methods Appl. Sci. 46, No. 13, 13716--13730 (2023; Zbl 07784836) Full Text: DOI arXiv
Li, Yiqun; Wang, Hong; Zheng, Xiangcheng Analysis and simulation of optimal control for a two-time-scale fractional advection-diffusion-reaction equation with space-time-dependent order and coefficients. (English) Zbl 07777591 Multiscale Model. Simul. 21, No. 4, 1690-1716 (2023). MSC: 35R11 65M15 65M60 PDFBibTeX XMLCite \textit{Y. Li} et al., Multiscale Model. Simul. 21, No. 4, 1690--1716 (2023; Zbl 07777591) Full Text: DOI
Li, Jiajie; Zhu, Shengfeng; Shen, Xiaoqin On mixed finite element approximations of shape gradients in shape optimization with the Navier-Stokes equation. (English) Zbl 07776976 Numer. Methods Partial Differ. Equations 39, No. 2, 1604-1634 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1604--1634 (2023; Zbl 07776976) Full Text: DOI
Varela, Jhabriel; Ahmed, Elyes; Keilegavlen, Eirik; Nordbotten, Jan M.; Radu, Florin A. A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. (English) Zbl 07775694 J. Numer. Math. 31, No. 4, 247-280 (2023). MSC: 65-XX 65N15 76S05 35Q86 PDFBibTeX XMLCite \textit{J. Varela} et al., J. Numer. Math. 31, No. 4, 247--280 (2023; Zbl 07775694) Full Text: DOI arXiv OA License
Balci, Anna Kh.; Diening, Lars; Storn, Johannes Relaxed Kačanov scheme for the \(p\)-Laplacian with large exponent. (English) Zbl 07770185 SIAM J. Numer. Anal. 61, No. 6, 2775-2794 (2023). MSC: 35J92 65N22 65N30 PDFBibTeX XMLCite \textit{A. Kh. Balci} et al., SIAM J. Numer. Anal. 61, No. 6, 2775--2794 (2023; Zbl 07770185) Full Text: DOI arXiv
Pighin, Dario Nonuniqueness of minimizers for semilinear optimal control problems. (English) Zbl 1521.49004 J. Eur. Math. Soc. (JEMS) 25, No. 6, 2127-2162 (2023). MSC: 49J20 93C20 35J47 35J61 PDFBibTeX XMLCite \textit{D. Pighin}, J. Eur. Math. Soc. (JEMS) 25, No. 6, 2127--2162 (2023; Zbl 1521.49004) Full Text: DOI arXiv
Muzalevskiy, A. V.; Repin, S. I. A posteriori error control of approximate solutions to boundary value problems found by neural networks. (English. Russian original) Zbl 07712753 J. Math. Sci., New York 273, No. 4, 492-510 (2023); translation from Zap. Nauchn. Semin. POMI 499, 77-104 (2021). MSC: 65Nxx 35Jxx 35Qxx PDFBibTeX XMLCite \textit{A. V. Muzalevskiy} and \textit{S. I. Repin}, J. Math. Sci., New York 273, No. 4, 492--510 (2023; Zbl 07712753); translation from Zap. Nauchn. Semin. POMI 499, 77--104 (2021) Full Text: DOI
Liu, Hongliang; You, Yilin; Li, Haodong; Li, Shoufu Canonical Euler splitting method for parabolic partial functional differential algebraic equations. (English) Zbl 07710407 Appl. Numer. Math. 190, 65-83 (2023). MSC: 65Mxx 65Lxx 35Kxx PDFBibTeX XMLCite \textit{H. Liu} et al., Appl. Numer. Math. 190, 65--83 (2023; Zbl 07710407) Full Text: DOI
Wang, Xiang; Zhang, Yuqing; Zhang, Zhimin New superconvergent structures with optional superconvergent points for the finite volume element method. (English) Zbl 1514.65113 Commun. Comput. Phys. 33, No. 5, 1332-1356 (2023). MSC: 65M08 35L65 65M12 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Comput. Phys. 33, No. 5, 1332--1356 (2023; Zbl 1514.65113) Full Text: DOI
Aimi, Alessandra; Di Credico, Giulia; Gimperlein, Heiko; Stephan, Ernst P. Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions. (English) Zbl 1527.65091 Numer. Math. 154, No. 1-2, 35-101 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65M38 65M15 65M12 74S15 35L67 41A25 PDFBibTeX XMLCite \textit{A. Aimi} et al., Numer. Math. 154, No. 1--2, 35--101 (2023; Zbl 1527.65091) Full Text: DOI arXiv
Blanc, Xavier; Hermeline, Francois; Labourasse, Emmanuel; Patela, Julie Arbitrary-order monotonic finite-volume schemes for 1D elliptic problems. (English) Zbl 1524.65724 Comput. Appl. Math. 42, No. 4, Paper No. 195, 40 p. (2023). MSC: 65N08 65N12 35J15 PDFBibTeX XMLCite \textit{X. Blanc} et al., Comput. Appl. Math. 42, No. 4, Paper No. 195, 40 p. (2023; Zbl 1524.65724) Full Text: DOI
Niakh, Idrissa; Drouet, Guillaume; Ehrlacher, Virginie; Ern, Alexandre Stable model reduction for linear variational inequalities with parameter-dependent constraints. (English) Zbl 1515.65299 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 167-189 (2023). MSC: 65N30 65N12 65N22 35A23 35A01 35A02 49M41 74M15 74S05 PDFBibTeX XMLCite \textit{I. Niakh} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 1, 167--189 (2023; Zbl 1515.65299) Full Text: DOI
Migórski, Stanisław; Ogorzały, Justyna; Dudek, Sylwia A new general class of systems of elliptic quasi-variational-hemivariational inequalities. (English) Zbl 1511.35187 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107243, 17 p. (2023). MSC: 35J88 35J87 PDFBibTeX XMLCite \textit{S. Migórski} et al., Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107243, 17 p. (2023; Zbl 1511.35187) Full Text: DOI
Migórski, Stanislaw; Bai, Yunru; Dudek, Sylwia A class of multivalued quasi-variational inequalities with applications. (English) Zbl 1512.35325 Appl. Math. Optim. 87, No. 2, Paper No. 32, 25 p. (2023). MSC: 35J87 35A01 PDFBibTeX XMLCite \textit{S. Migórski} et al., Appl. Math. Optim. 87, No. 2, Paper No. 32, 25 p. (2023; Zbl 1512.35325) Full Text: DOI
Yang, Peng; Li, Yonghai; Wang, Xiang Global \(L^2\) superconvergence of the tetrahedral quadratic finite element. (English) Zbl 07654109 Comput. Math. Appl. 133, 104-123 (2023). MSC: 65N30 65N12 35J25 65N15 35J05 PDFBibTeX XMLCite \textit{P. Yang} et al., Comput. Math. Appl. 133, 104--123 (2023; Zbl 07654109) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng; Wang, Kening Additive Schwarz preconditioners for \(C^0\) Interior penalty methods for the obstacle problem of clamped Kirchhoff plates. (English) Zbl 07775896 Numer. Methods Partial Differ. Equations 38, No. 1, 102-117 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 102--117 (2022; Zbl 07775896) Full Text: DOI
Cavalcante, T. M.; Lira Filho, R. J. M.; Souza, A. C. R.; Carvalho, D. K. E.; Lyra, P. R. M. A multipoint flux approximation with a diamond stencil and a non-linear defect correction strategy for the numerical solution of steady state diffusion problems in heterogeneous and anisotropic media satisfying the discrete maximum principle. (English) Zbl 1504.65236 J. Sci. Comput. 93, No. 2, Paper No. 42, 15 p. (2022). MSC: 65N06 65N12 76M20 35J05 PDFBibTeX XMLCite \textit{T. M. Cavalcante} et al., J. Sci. Comput. 93, No. 2, Paper No. 42, 15 p. (2022; Zbl 1504.65236) Full Text: DOI
Hoppe, Fabian; Neitzel, Ira Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization. (English) Zbl 1509.49013 ESAIM, Control Optim. Calc. Var. 28, Paper No. 68, 31 p. (2022). Reviewer: Giorgio Saracco (Trento) MSC: 49K20 49J52 35K59 65K10 PDFBibTeX XMLCite \textit{F. Hoppe} and \textit{I. Neitzel}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 68, 31 p. (2022; Zbl 1509.49013) Full Text: DOI
Chang, Lili; Gong, Wei; Jin, Zhen; Sun, Gui-Quan Sparse optimal control of pattern formations for an SIR reaction-diffusion epidemic model. (English) Zbl 1501.35049 SIAM J. Appl. Math. 82, No. 5, 1764-1790 (2022). MSC: 35B36 35K57 49J20 49K20 92D30 PDFBibTeX XMLCite \textit{L. Chang} et al., SIAM J. Appl. Math. 82, No. 5, 1764--1790 (2022; Zbl 1501.35049) Full Text: DOI
Kale, Swapnil; Pradhan, Debasish An augmented interface approach in fictitious domain methods. (English) Zbl 1524.65554 Comput. Math. Appl. 125, 238-247 (2022). MSC: 65M60 65N30 35J25 65N15 65N12 65N50 65D30 65D07 74B20 74K20 65M06 PDFBibTeX XMLCite \textit{S. Kale} and \textit{D. Pradhan}, Comput. Math. Appl. 125, 238--247 (2022; Zbl 1524.65554) Full Text: DOI
Hussain, Ibrar; Ali, Haider; Khan, Muhammad Shahkar; Niu, Sijie; Rada, Lavdie Robust region-based active contour models via local statistical similarity and local similarity factor for intensity inhomogeneity and high noise image segmentation. (English) Zbl 1497.65125 Inverse Probl. Imaging 16, No. 5, 1113-1136 (2022). MSC: 65M06 65M22 35J05 35J25 94A08 PDFBibTeX XMLCite \textit{I. Hussain} et al., Inverse Probl. Imaging 16, No. 5, 1113--1136 (2022; Zbl 1497.65125) Full Text: DOI
Ruggeri, Michele Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects. (English) Zbl 1497.65180 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1199-1222 (2022). MSC: 65M60 65M06 65N30 65M12 65Z05 35K61 35B35 35D30 35A01 35A02 82D40 78A60 35Q60 PDFBibTeX XMLCite \textit{M. Ruggeri}, ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1199--1222 (2022; Zbl 1497.65180) Full Text: DOI arXiv
Korikov, D. V. Asymptotics of ‘stress intensity factors’ for solutions to wave equation at a crack tip close to external boundary. (English) Zbl 1497.35027 Appl. Anal. 101, No. 14, 4793-4806 (2022). MSC: 35B25 35B40 35L05 35L20 74R99 PDFBibTeX XMLCite \textit{D. V. Korikov}, Appl. Anal. 101, No. 14, 4793--4806 (2022; Zbl 1497.35027) Full Text: DOI
Gudi, Thirupathi; Mallik, Gouranga; Pramanick, Tamal A hybrid high-order method for quasilinear elliptic problems of nonmonotone type. (English) Zbl 1501.65119 SIAM J. Numer. Anal. 60, No. 4, 2318-2344 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N15 35J62 37C25 PDFBibTeX XMLCite \textit{T. Gudi} et al., SIAM J. Numer. Anal. 60, No. 4, 2318--2344 (2022; Zbl 1501.65119) Full Text: DOI arXiv
Repin, Sergey I. Error identities for the reaction-convection-diffusion problem and applications to a posteriori error control. (English) Zbl 1502.65092 Russ. J. Numer. Anal. Math. Model. 37, No. 4, 241-252 (2022). MSC: 65M15 65M22 65F50 65F10 35Q84 PDFBibTeX XMLCite \textit{S. I. Repin}, Russ. J. Numer. Anal. Math. Model. 37, No. 4, 241--252 (2022; Zbl 1502.65092) Full Text: DOI
Almi, Stefano; Stefanelli, Ulisse Topology optimization for quasistatic elastoplasticity. (English) Zbl 1495.74053 ESAIM, Control Optim. Calc. Var. 28, Paper No. 47, 40 p. (2022). MSC: 74P15 74C05 74H20 35Q74 PDFBibTeX XMLCite \textit{S. Almi} and \textit{U. Stefanelli}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 47, 40 p. (2022; Zbl 1495.74053) Full Text: DOI arXiv
Wen, Ying; Sun, Jiebao; Guo, Zhichang A new anisotropic fourth-order diffusion equation model based on image features for image denoising. (English) Zbl 1495.35097 Inverse Probl. Imaging 16, No. 4, 895-924 (2022). MSC: 35K35 35K59 68U10 94A08 PDFBibTeX XMLCite \textit{Y. Wen} et al., Inverse Probl. Imaging 16, No. 4, 895--924 (2022; Zbl 1495.35097) Full Text: DOI
Zheng, Xiangcheng; Wang, Hong Discretization and analysis of an optimal control of a variable-order time-fractional diffusion equation with pointwise constraints. (English) Zbl 07545417 J. Sci. Comput. 91, No. 2, Paper No. 56, 22 p. (2022). MSC: 65Mxx 49Mxx 35Kxx PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, J. Sci. Comput. 91, No. 2, Paper No. 56, 22 p. (2022; Zbl 07545417) Full Text: DOI
Sofonea, Mircea; Tarzia, Domingo A. Tykhonov well-posedness of a heat transfer problem with unilateral constraints. (English) Zbl 07511500 Appl. Math., Praha 67, No. 2, 167-197 (2022). MSC: 49J40 49J20 49J52 49J45 35A16 35M86 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{D. A. Tarzia}, Appl. Math., Praha 67, No. 2, 167--197 (2022; Zbl 07511500) Full Text: DOI arXiv
Li, Fei; Yi, Nianyu Analysis of a goal-oriented adaptive two-grid finite-element algorithm for semilinear elliptic problems. (English) Zbl 1499.65670 Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022). MSC: 65N30 65N15 65N50 65N55 65N12 35J61 PDFBibTeX XMLCite \textit{F. Li} and \textit{N. Yi}, Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022; Zbl 1499.65670) Full Text: DOI
Manohar, Ram; Sinha, Rajen Kumar Local a posteriori error estimates for boundary control problems governed by nonlinear parabolic equations. (English) Zbl 1503.49029 J. Comput. Appl. Math. 409, Article ID 114146, 29 p. (2022). MSC: 49M41 35K57 49M25 65M15 65M60 PDFBibTeX XMLCite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Comput. Appl. Math. 409, Article ID 114146, 29 p. (2022; Zbl 1503.49029) Full Text: DOI
Chukwuemeka, Edison E.; Walker, Shawn W. Accelerated gradient descent methods for the uniaxially constrained Landau-de Gennes model. (English) Zbl 1499.65650 Adv. Appl. Math. Mech. 14, No. 1, 1-32 (2022). MSC: 65N30 49M25 35J70 65N55 76A05 76M10 35Q35 PDFBibTeX XMLCite \textit{E. E. Chukwuemeka} and \textit{S. W. Walker}, Adv. Appl. Math. Mech. 14, No. 1, 1--32 (2022; Zbl 1499.65650) Full Text: DOI
Guo, Liming; Sheng, Qiwei; Wang, Cheng; Huang, Ziping A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems. (English) Zbl 1483.65183 J. Comput. Appl. Math. 406, Article ID 113928, 19 p. (2022). MSC: 65N30 65N15 65N12 35J25 35J62 35B45 PDFBibTeX XMLCite \textit{L. Guo} et al., J. Comput. Appl. Math. 406, Article ID 113928, 19 p. (2022; Zbl 1483.65183) Full Text: DOI
Dassi, F.; Gedicke, J.; Mascotto, L. Adaptive virtual element methods with equilibrated fluxes. (English) Zbl 1489.65157 Appl. Numer. Math. 173, 249-278 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N12 65N50 35J05 PDFBibTeX XMLCite \textit{F. Dassi} et al., Appl. Numer. Math. 173, 249--278 (2022; Zbl 1489.65157) Full Text: DOI arXiv
Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas Optimization with learning-informed differential equation constraints and its applications. (English) Zbl 1481.49028 ESAIM, Control Optim. Calc. Var. 28, Paper No. 3, 44 p. (2022). MSC: 49M15 65J15 65J20 65K10 90C30 35J61 68T07 PDFBibTeX XMLCite \textit{G. Dong} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 3, 44 p. (2022; Zbl 1481.49028) Full Text: DOI arXiv
Kale, Swapnil; Pradhan, Debasish Error estimates of fictitious domain method with an \(H^1\) penalty approach for elliptic problems. (English) Zbl 1499.65724 Comput. Appl. Math. 41, No. 1, Paper No. 27, 21 p. (2022). MSC: 65N85 65N30 65N15 76M10 65N12 35J15 PDFBibTeX XMLCite \textit{S. Kale} and \textit{D. Pradhan}, Comput. Appl. Math. 41, No. 1, Paper No. 27, 21 p. (2022; Zbl 1499.65724) Full Text: DOI
Nie, Cunyun; Yu, Haiyuan A monotone finite volume element scheme for diffusion equations on triangular grids. (English) Zbl 1524.65728 Comput. Math. Appl. 105, 1-12 (2022). MSC: 65N08 35J25 65N30 65N50 65N12 PDFBibTeX XMLCite \textit{C. Nie} and \textit{H. Yu}, Comput. Math. Appl. 105, 1--12 (2022; Zbl 1524.65728) Full Text: DOI
Delitsyn, Andrey; Grebenkov, Denis S. Resonance scattering in a waveguide with identical thick perforated barriers. (English) Zbl 1510.74065 Appl. Math. Comput. 412, Article ID 126592, 10 p. (2022). MSC: 74J20 35J05 PDFBibTeX XMLCite \textit{A. Delitsyn} and \textit{D. S. Grebenkov}, Appl. Math. Comput. 412, Article ID 126592, 10 p. (2022; Zbl 1510.74065) Full Text: DOI arXiv
Wu, Han; Yang, Feng Liu; Wang, Yan Qing Vibrations of axially traveling plates partially coupled with a viscous, orthogonally flowing liquid. (English) Zbl 07813200 ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202100038, 17 p. (2021). MSC: 74Hxx 74Kxx 35Lxx PDFBibTeX XMLCite \textit{H. Wu} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202100038, 17 p. (2021; Zbl 07813200) Full Text: DOI
Bobylev, A. A. On the positive definiteness of the Poincaré-Steklov operator for elastic half-plane. (English. Russian original) Zbl 1487.74095 Mosc. Univ. Mech. Bull. 76, No. 6, 156-162 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 6, 34-40 (2021). MSC: 74M15 74B05 35Q74 PDFBibTeX XMLCite \textit{A. A. Bobylev}, Mosc. Univ. Mech. Bull. 76, No. 6, 156--162 (2021; Zbl 1487.74095); translation from Vestn. Mosk. Univ., Ser. I 76, No. 6, 34--40 (2021) Full Text: DOI
Baiz, Othmane; Benaissa, Hicham; Bouchantouf, Rachid; El Moutawakil, Driss Optimization problems for a thermoelastic frictional contact problem. (English) Zbl 1486.35223 Math. Model. Anal. 26, No. 3, 444-468 (2021). MSC: 35J87 35A01 PDFBibTeX XMLCite \textit{O. Baiz} et al., Math. Model. Anal. 26, No. 3, 444--468 (2021; Zbl 1486.35223) Full Text: DOI
Repin, S. I. Identity for deviations from the exact solution of the problem \( \Lambda^\ast\mathcal{A}\Lambda u + \ell = 0\) and its implications. (English. Russian original) Zbl 1493.65228 Comput. Math. Math. Phys. 61, No. 12, 1943-1965 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 1986-2009 (2021). MSC: 65N30 35B45 35B40 35B65 PDFBibTeX XMLCite \textit{S. I. Repin}, Comput. Math. Math. Phys. 61, No. 12, 1943--1965 (2021; Zbl 1493.65228); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 1986--2009 (2021) Full Text: DOI
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. (English) Zbl 1476.65297 Comput. Methods Appl. Math. 21, No. 2, 351-371 (2021). MSC: 65N30 65N15 65J15 49M15 35Q35 PDFBibTeX XMLCite \textit{B. Endtmayer} et al., Comput. Methods Appl. Math. 21, No. 2, 351--371 (2021; Zbl 1476.65297) Full Text: DOI arXiv
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth. (English) Zbl 1473.92021 Math. Models Methods Appl. Sci. 31, No. 7, 1419-1468 (2021). MSC: 92C50 35Q92 35Q93 65M60 49K20 PDFBibTeX XMLCite \textit{P. Colli} et al., Math. Models Methods Appl. Sci. 31, No. 7, 1419--1468 (2021; Zbl 1473.92021) Full Text: DOI arXiv
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. (English) Zbl 1473.35551 Math. Models Methods Appl. Sci. 31, No. 3, 649-674 (2021). MSC: 35Q74 49J40 74D99 74M15 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 31, No. 3, 649--674 (2021; Zbl 1473.35551) Full Text: DOI
Borthagaray, Juan Pablo; Walker, Shawn W. The Q-tensor model with uniaxial constraint. (English) Zbl 1473.65288 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handbook of Numerical Analysis 22, 313-382 (2021). MSC: 65N30 49M25 35J70 PDFBibTeX XMLCite \textit{J. P. Borthagaray} and \textit{S. W. Walker}, Handb. Numer. Anal. 22, 313--382 (2021; Zbl 1473.65288) Full Text: DOI arXiv
Pany, Ambit Kumar; Khebchareon, Morrakot; Pani, Amiya K. Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. (English) Zbl 1524.65853 Comput. Math. Appl. 99, 26-36 (2021). MSC: 65N30 65N15 35J65 65M60 65N12 35K58 PDFBibTeX XMLCite \textit{A. K. Pany} et al., Comput. Math. Appl. 99, 26--36 (2021; Zbl 1524.65853) Full Text: DOI arXiv
Migórski, Stanisław; Dudek, Sylwia A new class of elliptic quasi-variational-hemivariational inequalities for fluid flow with mixed boundary conditions. (English) Zbl 1524.49020 Comput. Math. Appl. 100, 51-61 (2021). MSC: 49J40 35Q30 47J20 76D05 74M15 PDFBibTeX XMLCite \textit{S. Migórski} and \textit{S. Dudek}, Comput. Math. Appl. 100, 51--61 (2021; Zbl 1524.49020) Full Text: DOI
Liu, Shuang; Tang, You-Qi; Chen, Ling Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams. (English) Zbl 1481.74357 Appl. Math. Modelling 93, 885-897 (2021). MSC: 74H55 74K10 35Q74 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Modelling 93, 885--897 (2021; Zbl 1481.74357) Full Text: DOI
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. (English) Zbl 1492.65307 SIAM J. Numer. Anal. 59, No. 4, 2237-2253 (2021). MSC: 65N30 65N15 65N50 78A30 78M10 35Q60 PDFBibTeX XMLCite \textit{J. Gedicke} et al., SIAM J. Numer. Anal. 59, No. 4, 2237--2253 (2021; Zbl 1492.65307) Full Text: DOI arXiv
Chaudet-Dumas, Bastien; Deteix, Jean Shape derivatives for an augmented Lagrangian formulation of elastic contact problems. (English) Zbl 1468.35067 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S14, 23 p. (2021). MSC: 35J86 49K40 49Q10 74M15 74P15 PDFBibTeX XMLCite \textit{B. Chaudet-Dumas} and \textit{J. Deteix}, ESAIM, Control Optim. Calc. Var. 27, Paper No. S14, 23 p. (2021; Zbl 1468.35067) Full Text: DOI
Laurain, Antoine; Winckler, Malte; Yousept, Irwin Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities. (English) Zbl 1467.35168 SIAM J. Control Optim. 59, No. 3, 2247-2272 (2021). MSC: 35J86 35Q93 35Q60 PDFBibTeX XMLCite \textit{A. Laurain} et al., SIAM J. Control Optim. 59, No. 3, 2247--2272 (2021; Zbl 1467.35168) Full Text: DOI arXiv
Menaldi, José-Luis; Rautenberg, Carlos N. On some quasi-variational inequalities and other problems with moving sets. (English) Zbl 1466.35209 J. Convex Anal. 28, No. 2, 629-654 (2021). MSC: 35J86 35J60 35R35 65K10 93E20 PDFBibTeX XMLCite \textit{J.-L. Menaldi} and \textit{C. N. Rautenberg}, J. Convex Anal. 28, No. 2, 629--654 (2021; Zbl 1466.35209) Full Text: arXiv Link
Zheng, Xiangcheng; Wang, Hong A hidden-memory variable-order time-fractional optimal control model: analysis and approximation. (English) Zbl 1466.49025 SIAM J. Control Optim. 59, No. 3, 1851-1880 (2021). MSC: 49K40 26A33 35K20 49K20 65M12 65M60 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, SIAM J. Control Optim. 59, No. 3, 1851--1880 (2021; Zbl 1466.49025) Full Text: DOI
Guo, Liming; Bi, Chunjia Adaptive finite element method for nonmonotone quasi-linear elliptic problems. (English) Zbl 1524.65809 Comput. Math. Appl. 93, 94-105 (2021). MSC: 65N30 65N15 65N12 65N50 35J25 35J62 PDFBibTeX XMLCite \textit{L. Guo} and \textit{C. Bi}, Comput. Math. Appl. 93, 94--105 (2021; Zbl 1524.65809) Full Text: DOI
Xu, Fei; Huang, Qiumei An accurate a posteriori error estimator for the Steklov eigenvalue problem and its applications. (English) Zbl 1471.65190 Sci. China, Math. 64, No. 3, 623-638 (2021). MSC: 65N25 65N30 65N55 65N50 65N15 35J61 PDFBibTeX XMLCite \textit{F. Xu} and \textit{Q. Huang}, Sci. China, Math. 64, No. 3, 623--638 (2021; Zbl 1471.65190) Full Text: DOI
Nazarov, S. A.; Chesnel, L. Almost complete transmission of waves through perforated cross-walls in a waveguide with Dirichlet boundary condition. (English. Russian original) Zbl 1462.35378 Sib. Math. J. 62, No. 2, 272-291 (2021); translation from Sib. Mat. Zh. 62, No. 2, 339-361 (2021). MSC: 35Q60 78A50 78A45 35B40 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{L. Chesnel}, Sib. Math. J. 62, No. 2, 272--291 (2021; Zbl 1462.35378); translation from Sib. Mat. Zh. 62, No. 2, 339--361 (2021) Full Text: DOI
Frolov, M. E. Reliable a posteriori error estimation for Cosserat elasticity in 3D. (English) Zbl 1459.74011 Lobachevskii J. Math. 42, No. 1, 96-103 (2021). MSC: 74A35 74B99 74G65 35Q74 PDFBibTeX XMLCite \textit{M. E. Frolov}, Lobachevskii J. Math. 42, No. 1, 96--103 (2021; Zbl 1459.74011) Full Text: DOI
Cao, Yining; Jia, Chuck; Temam, Roger; Tribbia, Joseph Mathematical analysis of a cloud resolving model including the ice microphysics. (English) Zbl 1462.35403 Discrete Contin. Dyn. Syst. 41, No. 1, 131-167 (2021). MSC: 35Q86 35K86 49J40 76B15 35K55 86A10 PDFBibTeX XMLCite \textit{Y. Cao} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 131--167 (2021; Zbl 1462.35403) Full Text: DOI
Zosso, Dominique; Osting, Braxton A primal-dual optimization strategy for elliptic partial differential equations. (English) Zbl 1458.65070 Q. Appl. Math. 79, No. 1, 175-200 (2021). MSC: 65K10 65N06 35J20 PDFBibTeX XMLCite \textit{D. Zosso} and \textit{B. Osting}, Q. Appl. Math. 79, No. 1, 175--200 (2021; Zbl 1458.65070) Full Text: DOI
Leykekhman, Dmitriy; Li, Buyang Weak discrete maximum principle of finite element methods in convex polyhedra. (English) Zbl 1452.65348 Math. Comput. 90, No. 327, 1-18 (2021). MSC: 65N30 65N12 35J05 35B50 PDFBibTeX XMLCite \textit{D. Leykekhman} and \textit{B. Li}, Math. Comput. 90, No. 327, 1--18 (2021; Zbl 1452.65348) Full Text: DOI arXiv
Li, Yunzhang; Tang, Shanjian Approximation of backward stochastic partial differential equations by a splitting-up method. (English) Zbl 1450.65004 J. Math. Anal. Appl. 493, No. 1, Article ID 124518, 37 p. (2021). MSC: 65C30 35R60 60H15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{S. Tang}, J. Math. Anal. Appl. 493, No. 1, Article ID 124518, 37 p. (2021; Zbl 1450.65004) Full Text: DOI
Liu, Jinghong; Zhu, Qiding Superconvergence of the function value for pentahedral finite elements for an elliptic equation with varying coefficients. (English) Zbl 1493.65216 Bound. Value Probl. 2020, Paper No. 7, 15 p. (2020). MSC: 65N30 65N12 65N80 35J25 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, Bound. Value Probl. 2020, Paper No. 7, 15 p. (2020; Zbl 1493.65216) Full Text: DOI
Roberts, Michael; Chen, Ke; Li, Jingzhi; Irion, Klaus L. On an effective multigrid solver for solving a class of variational problems with application to image segmentation. (English) Zbl 1480.65363 Int. J. Comput. Math. 97, No. 10, 2015-2035 (2020). MSC: 65N55 35J20 49N45 68U10 94A08 PDFBibTeX XMLCite \textit{M. Roberts} et al., Int. J. Comput. Math. 97, No. 10, 2015--2035 (2020; Zbl 1480.65363) Full Text: DOI
Bollati, Julieta; Gariboldi, Claudia M.; Tarzia, Domingo A. Explicit solutions for distributed, boundary and distributed-boundary elliptic optimal control problems. (English) Zbl 1480.35106 J. Appl. Math. Comput. 64, No. 1-2, 283-311 (2020). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{J. Bollati} et al., J. Appl. Math. Comput. 64, No. 1--2, 283--311 (2020; Zbl 1480.35106) Full Text: DOI arXiv
Xu, Fei; Huang, Qiumei; Chen, Shuangshuang; Ma, Hongkun A type of cascadic adaptive finite element method for eigenvalue problem. (English) Zbl 1488.65597 Adv. Appl. Math. Mech. 12, No. 3, 774-796 (2020). MSC: 65N25 65N30 65N55 65N50 35J25 PDFBibTeX XMLCite \textit{F. Xu} et al., Adv. Appl. Math. Mech. 12, No. 3, 774--796 (2020; Zbl 1488.65597) Full Text: DOI
Zhang, Xiaoting; He, Chuanjiang; Guo, Jiebin Selective diffusion involving reaction for binarization of bleed-through document images. (English) Zbl 1481.94045 Appl. Math. Modelling 81, 844-854 (2020). MSC: 94A08 35K59 65D18 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Modelling 81, 844--854 (2020; Zbl 1481.94045) Full Text: DOI
Lam, Kei Fong; Yousept, Irwin Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system. (English) Zbl 1473.35529 Inverse Probl. 36, No. 4, Article ID 045011, 33 p. (2020). MSC: 35Q60 35R30 49M41 49Q10 49K20 78A46 78A30 35B65 47J06 PDFBibTeX XMLCite \textit{K. F. Lam} and \textit{I. Yousept}, Inverse Probl. 36, No. 4, Article ID 045011, 33 p. (2020; Zbl 1473.35529) Full Text: DOI
Kogut, Peter I.; Kupenko, Olha P.; Manzo, Rosanna On regularization of an optimal control problem for ill-posed nonlinear elliptic equations. (English) Zbl 1474.49011 Abstr. Appl. Anal. 2020, Article ID 7418707, 15 p. (2020). MSC: 49J20 49J45 65N20 35R30 PDFBibTeX XMLCite \textit{P. I. Kogut} et al., Abstr. Appl. Anal. 2020, Article ID 7418707, 15 p. (2020; Zbl 1474.49011) Full Text: DOI
Lapin, A.; Laitinen, E. A numerical model for steel continuous casting problem in a time-variable domain. (English) Zbl 1464.65099 Lobachevskii J. Math. 41, No. 12, 2664-2672 (2020). Reviewer: Michael Jung (Dresden) MSC: 65M25 65N06 65N30 65N85 65H10 80A22 35Q79 PDFBibTeX XMLCite \textit{A. Lapin} and \textit{E. Laitinen}, Lobachevskii J. Math. 41, No. 12, 2664--2672 (2020; Zbl 1464.65099) Full Text: DOI
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. (English) Zbl 1451.65197 Comput. Methods Appl. Math. 20, No. 4, 643-676 (2020). MSC: 65N30 65N15 65N50 35R06 35J20 35J61 49M29 65J15 PDFBibTeX XMLCite \textit{J. Kraus} et al., Comput. Methods Appl. Math. 20, No. 4, 643--676 (2020; Zbl 1451.65197) Full Text: DOI arXiv
Apushkinskaya, D. E.; Repin, S. I. Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions. (English. Russian original) Zbl 1454.35182 Comput. Math. Math. Phys. 60, No. 11, 1823-1838 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1881-1897 (2020). MSC: 35J86 31B30 PDFBibTeX XMLCite \textit{D. E. Apushkinskaya} and \textit{S. I. Repin}, Comput. Math. Math. Phys. 60, No. 11, 1823--1838 (2020; Zbl 1454.35182); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1881--1897 (2020) Full Text: DOI arXiv
Korneev, V. G. A note on a posteriori error bounds for numerical solutions of elliptic equations with a piecewise constant reaction coefficient having large jumps. (English. Russian original) Zbl 1453.65411 Comput. Math. Math. Phys. 60, No. 11, 1754-1760 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1815-1822 (2020). MSC: 65N30 65N15 65N12 35B25 35R05 35G15 PDFBibTeX XMLCite \textit{V. G. Korneev}, Comput. Math. Math. Phys. 60, No. 11, 1754--1760 (2020; Zbl 1453.65411); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1815--1822 (2020) Full Text: DOI
Chaudet-Dumas, Bastien; Deteix, Jean Shape derivatives for the penalty formulation of elastic contact problems with Tresca friction. (English) Zbl 1454.35183 SIAM J. Control Optim. 58, No. 6, 3237-3261 (2020). MSC: 35J86 49J50 49Q10 74M10 74M15 74P15 PDFBibTeX XMLCite \textit{B. Chaudet-Dumas} and \textit{J. Deteix}, SIAM J. Control Optim. 58, No. 6, 3237--3261 (2020; Zbl 1454.35183) Full Text: DOI arXiv
Gimperlein, Heiko; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P. A residual a posteriori error estimate for the time-domain boundary element method. (English) Zbl 1452.65382 Numer. Math. 146, No. 2, 239-280 (2020). MSC: 65N38 65M22 65M15 35L67 65N50 PDFBibTeX XMLCite \textit{H. Gimperlein} et al., Numer. Math. 146, No. 2, 239--280 (2020; Zbl 1452.65382) Full Text: DOI arXiv
Repin, S. I. Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm. (English. Russian original) Zbl 1450.35017 Comput. Math. Math. Phys. 60, No. 5, 749-765 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767-783 (2020). MSC: 35A35 65M15 35J25 PDFBibTeX XMLCite \textit{S. I. Repin}, Comput. Math. Math. Phys. 60, No. 5, 749--765 (2020; Zbl 1450.35017); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767--783 (2020) Full Text: DOI
Colli, Pierluigi; Hassan Farshbaf-Shaker, M.; Shirakawa, Ken; Yamazaki, Noriaki Optimal control for shape memory alloys of the one-dimensional Frémond model. (English) Zbl 1447.49005 Numer. Funct. Anal. Optim. 41, No. 12, 1421-1471 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49J20 35K55 35R35 PDFBibTeX XMLCite \textit{P. Colli} et al., Numer. Funct. Anal. Optim. 41, No. 12, 1421--1471 (2020; Zbl 1447.49005) Full Text: DOI
Plamenevskiĭ, Boris A.; Poretskiĭ, Aleksandr S.; Sarafanov, Oleg V. A method for approximate computation of waveguide scattering matrices. (English. Russian original) Zbl 1450.78007 Russ. Math. Surv. 75, No. 3, 509-568 (2020); translation from Usp. Mat. Nauk 75, No. 3, 123-182 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A50 78A45 78A25 35J05 35Q60 74J20 74B10 81U20 82D77 PDFBibTeX XMLCite \textit{B. A. Plamenevskiĭ} et al., Russ. Math. Surv. 75, No. 3, 509--568 (2020; Zbl 1450.78007); translation from Usp. Mat. Nauk 75, No. 3, 123--182 (2020) Full Text: DOI
Walker, Shawn W. A finite element method for the generalized Ericksen model of nematic liquid crystals. (English) Zbl 1446.65181 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1181-1220 (2020). MSC: 65N30 65N12 49M25 35J70 76A15 76W05 PDFBibTeX XMLCite \textit{S. W. Walker}, ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1181--1220 (2020; Zbl 1446.65181) Full Text: DOI
Xu, Fei; Yue, Meiling; Huang, Qiumei; Ma, Hongkun An asymptotically exact a posteriori error estimator for non-selfadjoint Steklov eigenvalue problem. (English) Zbl 1447.35144 Appl. Numer. Math. 156, 210-227 (2020). MSC: 35J25 65N30 PDFBibTeX XMLCite \textit{F. Xu} et al., Appl. Numer. Math. 156, 210--227 (2020; Zbl 1447.35144) Full Text: DOI
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. (English) Zbl 1442.65369 J. Sci. Comput. 83, No. 3, Paper No. 58, 23 p. (2020). MSC: 65N30 65N15 65N50 35Q60 78A30 78M10 PDFBibTeX XMLCite \textit{J. Gedicke} et al., J. Sci. Comput. 83, No. 3, Paper No. 58, 23 p. (2020; Zbl 1442.65369) Full Text: DOI arXiv
Porcù, Roberto; Chiaramonte, Maurizio M. Orthogonality constrained gradient reconstruction for superconvergent linear functionals. (English) Zbl 1447.65159 BIT 60, No. 2, 465-479 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65N50 35J15 PDFBibTeX XMLCite \textit{R. Porcù} and \textit{M. M. Chiaramonte}, BIT 60, No. 2, 465--479 (2020; Zbl 1447.65159) Full Text: DOI Link
Matei, Andaluzia; Sofonea, Mircea Solvability and optimization for a class of mixed variational problems. (English) Zbl 1440.35114 Optimization 69, No. 5, 1097-1116 (2020). MSC: 35J60 49K27 74M10 74M15 PDFBibTeX XMLCite \textit{A. Matei} and \textit{M. Sofonea}, Optimization 69, No. 5, 1097--1116 (2020; Zbl 1440.35114) Full Text: DOI arXiv
Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. (English) Zbl 1437.65168 Comput. Math. Appl. 79, No. 8, 2168-2188 (2020). MSC: 65N08 35R05 76R50 PDFBibTeX XMLCite \textit{Y. Yu} et al., Comput. Math. Appl. 79, No. 8, 2168--2188 (2020; Zbl 1437.65168) Full Text: DOI
Pauly, D.; Repin, S. A posteriori estimates for the stationary Stokes problem in exterior domains. (English) Zbl 1437.35275 St. Petersbg. Math. J. 31, No. 3, 533-555 (2020) and Algebra Anal. 31, No. 3, 184-215 (2019). MSC: 35J57 65N15 76D07 PDFBibTeX XMLCite \textit{D. Pauly} and \textit{S. Repin}, St. Petersbg. Math. J. 31, No. 3, 533--555 (2020; Zbl 1437.35275) Full Text: DOI Link
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun Robust equilibrated error estimator for diffusion problems: mixed finite elements in two dimensions. (English) Zbl 1437.65177 J. Sci. Comput. 83, No. 1, Paper No. 22, 22 p. (2020). MSC: 65N30 65N25 35J15 PDFBibTeX XMLCite \textit{D. Cai} et al., J. Sci. Comput. 83, No. 1, Paper No. 22, 22 p. (2020; Zbl 1437.65177) Full Text: DOI
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I. Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. (English) Zbl 1447.65150 Comput. Methods Appl. Math. 20, No. 2, 293-319 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 65N30 49M29 65N15 65N50 35J20 PDFBibTeX XMLCite \textit{J. Kraus} et al., Comput. Methods Appl. Math. 20, No. 2, 293--319 (2020; Zbl 1447.65150) Full Text: DOI arXiv
Endtmayer, B.; Langer, U.; Wick, T. Two-side a posteriori error estimates for the dual-weighted residual method. (English) Zbl 1440.65200 SIAM J. Sci. Comput. 42, No. 1, A371-A394 (2020). MSC: 65N30 65M60 65J15 49M15 76D05 35Q30 PDFBibTeX XMLCite \textit{B. Endtmayer} et al., SIAM J. Sci. Comput. 42, No. 1, A371--A394 (2020; Zbl 1440.65200) Full Text: DOI arXiv
Xu, Fei; Huang, Qiumei Cascadic adaptive finite element method for nonlinear eigenvalue problem based on complementary approach. (English) Zbl 1434.65283 J. Comput. Appl. Math. 372, Article ID 112720, 18 p. (2020). MSC: 65N30 35J61 65B99 65N25 65N55 65N15 PDFBibTeX XMLCite \textit{F. Xu} and \textit{Q. Huang}, J. Comput. Appl. Math. 372, Article ID 112720, 18 p. (2020; Zbl 1434.65283) Full Text: DOI
He, Wen-ming; Lin, Runchang; Zhang, Zhimin Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems. (English) Zbl 1434.65258 J. Comput. Appl. Math. 372, Article ID 112715, 19 p. (2020). MSC: 65N30 65N12 35J15 65B05 65M80 PDFBibTeX XMLCite \textit{W.-m. He} et al., J. Comput. Appl. Math. 372, Article ID 112715, 19 p. (2020; Zbl 1434.65258) Full Text: DOI
Gerken, Thies; Grützner, Simon Dynamic inverse wave problems. I: Regularity for the direct problem. (English) Zbl 1435.47067 Inverse Probl. 36, No. 2, Article ID 024004, 15 p. (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 47N20 34G10 35R30 35L05 35L04 PDFBibTeX XMLCite \textit{T. Gerken} and \textit{S. Grützner}, Inverse Probl. 36, No. 2, Article ID 024004, 15 p. (2020; Zbl 1435.47067) Full Text: DOI arXiv
Pauly, Dirk Solution theory, variational formulations, and functional a posteriori error estimates for general first order systems with applications to electro-magneto-statics and more. (English) Zbl 1429.35048 Numer. Funct. Anal. Optim. 41, No. 1, 16-112 (2020). MSC: 35F35 35J46 47A05 47A50 65N15 78A25 78A30 PDFBibTeX XMLCite \textit{D. Pauly}, Numer. Funct. Anal. Optim. 41, No. 1, 16--112 (2020; Zbl 1429.35048) Full Text: DOI arXiv
Shakya, Pratibha; Sinha, Rajen Kumar Finite element method for parabolic optimal control problems with a bilinear state equation. (English) Zbl 1464.65127 J. Comput. Appl. Math. 367, Article ID 112431, 26 p. (2020). MSC: 65M60 65M06 65N30 65M15 35B45 49M41 PDFBibTeX XMLCite \textit{P. Shakya} and \textit{R. K. Sinha}, J. Comput. Appl. Math. 367, Article ID 112431, 26 p. (2020; Zbl 1464.65127) Full Text: DOI
Hou, Chunjuan; Guo, Zhanwei; Guo, Lianhong A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods. (English) Zbl 1513.49010 Bound. Value Probl. 2019, Paper No. 90, 14 p. (2019). MSC: 49J20 65N30 35L55 PDFBibTeX XMLCite \textit{C. Hou} et al., Bound. Value Probl. 2019, Paper No. 90, 14 p. (2019; Zbl 1513.49010) Full Text: DOI
Anita, Sebastian; Beretta, Edoardo; Capasso, Vincenzo Optimal control strategies for a class of vector borne diseases, exemplified by a toy model for malaria. (English) Zbl 1515.92065 Biomath 8, No. 2, Article ID 1909157, 19 p. (2019). Reviewer: Svitlana P. Rogovchenko (Kristiansand) MSC: 92D30 34A34 49J15 35K57 PDFBibTeX XMLCite \textit{S. Anita} et al., Biomath 8, No. 2, Article ID 1909157, 19 p. (2019; Zbl 1515.92065) Full Text: DOI
Diegel, Amanda E.; Walker, Shawn W. A finite element method for a phase field model of nematic liquid crystal droplets. (English) Zbl 1473.65189 Commun. Comput. Phys. 25, No. 1, 155-188 (2019). MSC: 65M60 65M12 35Q99 PDFBibTeX XMLCite \textit{A. E. Diegel} and \textit{S. W. Walker}, Commun. Comput. Phys. 25, No. 1, 155--188 (2019; Zbl 1473.65189) Full Text: DOI arXiv