Zha, Yuanyuan; Li, Zhe; Yi, Lijun Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems. (English) Zbl 1528.65038 Appl. Numer. Math. 193, 67-82 (2023). MSC: 65L60 65L10 65L20 PDFBibTeX XMLCite \textit{Y. Zha} et al., Appl. Numer. Math. 193, 67--82 (2023; Zbl 1528.65038) Full Text: DOI
Kumar, Naresh; Dutta, Jogen; Deka, Bhupen \(L^2\) estimates for weak Galerkin finite element methods for second-order wave equations with polygonal meshes. (English) Zbl 1528.65075 Appl. Numer. Math. 192, 84-103 (2023). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{N. Kumar} et al., Appl. Numer. Math. 192, 84--103 (2023; Zbl 1528.65075) 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
Temimi, Helmi Error analysis of a novel discontinuous Galerkin method for the two-dimensional Poisson’s equation. (English) Zbl 07705794 Appl. Numer. Math. 189, 130-150 (2023). MSC: 65Mxx 65Nxx 35Lxx PDFBibTeX XMLCite \textit{H. Temimi}, Appl. Numer. Math. 189, 130--150 (2023; Zbl 07705794) Full Text: DOI
Alvarez, María Luz; Durán, Ricardo G. A posteriori error estimates for mixed approximations of degenerate elliptic problems. (English) Zbl 07705785 Appl. Numer. Math. 188, 146-159 (2023). MSC: 65Nxx 35Jxx 35Bxx PDFBibTeX XMLCite \textit{M. L. Alvarez} and \textit{R. G. Durán}, Appl. Numer. Math. 188, 146--159 (2023; Zbl 07705785) Full Text: DOI
Araya, Rodolfo; Cárcamo, Cristian; Poza, Abner H. A stabilized finite element method for the Stokes-temperature coupled problem. (English) Zbl 07705762 Appl. Numer. Math. 187, 24-49 (2023). MSC: 65N30 65N12 65N15 76D07 76M10 80A19 35B65 PDFBibTeX XMLCite \textit{R. Araya} et al., Appl. Numer. Math. 187, 24--49 (2023; Zbl 07705762) Full Text: DOI
Garg, Divay; Porwal, Kamana Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem. (English) Zbl 07699013 Appl. Numer. Math. 185, 336-364 (2023). MSC: 65Nxx 49Mxx 65Kxx PDFBibTeX XMLCite \textit{D. Garg} and \textit{K. Porwal}, Appl. Numer. Math. 185, 336--364 (2023; Zbl 07699013) Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations. (English) Zbl 1500.65075 Appl. Numer. Math. 183, 86-107 (2023). MSC: 65M60 65M06 65N30 65M15 80A19 78A55 74F05 74B10 74D05 35Q79 PDFBibTeX XMLCite \textit{Y.-B. Yang} and \textit{Y.-L. Jiang}, Appl. Numer. Math. 183, 86--107 (2023; Zbl 1500.65075) Full Text: DOI
Almuslimani, Ibrahim; Chartier, Philippe; Lemou, Mohammed; Méhats, Florian Uniformly accurate schemes for drift-oscillatory stochastic differential equations. (English) Zbl 1505.65008 Appl. Numer. Math. 181, 468-482 (2022). MSC: 65C30 60H10 PDFBibTeX XMLCite \textit{I. Almuslimani} et al., Appl. Numer. Math. 181, 468--482 (2022; Zbl 1505.65008) Full Text: DOI arXiv
Zhang, Tiangong; Li, Huiyuan; Wang, Zhongqing Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains. (English) Zbl 1484.65279 Appl. Numer. Math. 176, 159-181 (2022). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Numer. Math. 176, 159--181 (2022; Zbl 1484.65279) 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
Panigrahi, Bijaya Laxmi Mixed Fourier Legendre spectral Galerkin methods for two-dimensional Fredholm integral equations of the second kind. (English) Zbl 1472.65167 Appl. Numer. Math. 168, 235-250 (2021). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{B. L. Panigrahi}, Appl. Numer. Math. 168, 235--250 (2021; Zbl 1472.65167) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A numerical scheme with divergence free \(H\)-\(\operatorname{div}\) triangular finite element for the Stokes equations. (English) Zbl 1476.65312 Appl. Numer. Math. 167, 211-217 (2021). MSC: 65N30 65F35 76D07 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 167, 211--217 (2021; Zbl 1476.65312) Full Text: DOI
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems. (English) Zbl 1475.65140 Appl. Numer. Math. 165, 482-499 (2021). MSC: 65M60 65L06 65N30 35L65 35Q31 PDFBibTeX XMLCite \textit{J. Zhu} et al., Appl. Numer. Math. 165, 482--499 (2021; Zbl 1475.65140) Full Text: DOI
Kim, Kwang-Yeon Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart-Thomas mixed finite element method. (English) Zbl 1466.35115 Appl. Numer. Math. 165, 357-375 (2021). MSC: 35J25 65N30 PDFBibTeX XMLCite \textit{K.-Y. Kim}, Appl. Numer. Math. 165, 357--375 (2021; Zbl 1466.35115) Full Text: DOI
Quenjel, El Houssaine Nonlinear finite volume discretization for transient diffusion problems on general meshes. (English) Zbl 1460.76639 Appl. Numer. Math. 161, 148-168 (2021). MSC: 76M12 76R50 65M12 PDFBibTeX XMLCite \textit{E. H. Quenjel}, Appl. Numer. Math. 161, 148--168 (2021; Zbl 1460.76639) Full Text: DOI
Albuja, Guillermo; Ávila, Andrés I. A family of new globally convergent linearization schemes for solving Richards’ equation. (English) Zbl 1459.65135 Appl. Numer. Math. 159, 281-296 (2021). MSC: 65M06 65N30 65H10 35K65 76S05 35Q35 PDFBibTeX XMLCite \textit{G. Albuja} and \textit{A. I. Ávila}, Appl. Numer. Math. 159, 281--296 (2021; Zbl 1459.65135) Full Text: DOI
Mu, Lin; Chen, Zheng A new WENO weak Galerkin finite element method for time dependent hyperbolic equations. (English) Zbl 1459.65187 Appl. Numer. Math. 159, 106-124 (2021). MSC: 65M60 65M06 65N30 35L02 35B05 35Q53 PDFBibTeX XMLCite \textit{L. Mu} and \textit{Z. Chen}, Appl. Numer. Math. 159, 106--124 (2021; Zbl 1459.65187) Full Text: DOI
Bassi, C.; Busto, S.; Dumbser, M. High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. (English) Zbl 1447.74042 Appl. Numer. Math. 158, 236-263 (2020). MSC: 74S05 74S20 74L05 74J05 74F10 76B15 86A15 PDFBibTeX XMLCite \textit{C. Bassi} et al., Appl. Numer. Math. 158, 236--263 (2020; Zbl 1447.74042) Full Text: DOI arXiv
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential. (English) Zbl 1452.65316 Appl. Numer. Math. 158, 54-84 (2020). MSC: 65N25 65N30 65N35 65N12 65N15 35J10 35P15 35B65 PDFBibTeX XMLCite \textit{L. Jia} et al., Appl. Numer. Math. 158, 54--84 (2020; Zbl 1452.65316) Full Text: DOI
Arshad, Muhammad A priori error estimates of multiblock mortar expanded mixed method for elliptic problems. (English) Zbl 1446.65157 Appl. Numer. Math. 157, 670-686 (2020). MSC: 65N30 65N55 65N12 65N15 35J15 PDFBibTeX XMLCite \textit{M. Arshad}, Appl. Numer. Math. 157, 670--686 (2020; Zbl 1446.65157) Full Text: DOI
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes. (English) Zbl 1436.65118 Appl. Numer. Math. 153, 519-539 (2020). MSC: 65M06 65M60 35L65 65M08 65L06 PDFBibTeX XMLCite \textit{J. Zhu} et al., Appl. Numer. Math. 153, 519--539 (2020; Zbl 1436.65118) Full Text: DOI
Glaubitz, Jan; Öffner, Philipp Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points. (English) Zbl 1434.65180 Appl. Numer. Math. 151, 98-118 (2020). MSC: 65M60 65M70 35L65 65D32 33C45 PDFBibTeX XMLCite \textit{J. Glaubitz} and \textit{P. Öffner}, Appl. Numer. Math. 151, 98--118 (2020; Zbl 1434.65180) Full Text: DOI arXiv Link
Wu, Jilian; Wei, Leilei; Feng, Xinlong Novel fractional time-stepping algorithms for natural convection problems with variable density. (English) Zbl 1448.76145 Appl. Numer. Math. 151, 64-84 (2020). MSC: 76R10 76M10 76D05 65M12 PDFBibTeX XMLCite \textit{J. Wu} et al., Appl. Numer. Math. 151, 64--84 (2020; Zbl 1448.76145) Full Text: DOI
Tamang, N.; Wongsaijai, B.; Mouktonglang, T.; Poochinapan, K. Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions. (English) Zbl 1427.65263 Appl. Numer. Math. 148, 109-130 (2020). MSC: 65M60 65M06 35Q53 PDFBibTeX XMLCite \textit{N. Tamang} et al., Appl. Numer. Math. 148, 109--130 (2020; Zbl 1427.65263) Full Text: DOI
Zhang, Jiansong; Shen, Xiaomang; Guo, Hui; Fu, Hongfei; Han, Huiran Characteristic splitting mixed finite element analysis of compressible wormhole propagation. (English) Zbl 1435.65169 Appl. Numer. Math. 147, 66-87 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M25 76M10 76S05 76N15 65N30 76R50 65M12 65M15 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Numer. Math. 147, 66--87 (2020; Zbl 1435.65169) Full Text: DOI
Quyen, Tran Nhan Tam Finite element analysis for identifying the reaction coefficient in PDE from boundary observations. (English) Zbl 1477.65181 Appl. Numer. Math. 145, 297-314 (2019). MSC: 65N21 65N30 35J25 PDFBibTeX XMLCite \textit{T. N. T. Quyen}, Appl. Numer. Math. 145, 297--314 (2019; Zbl 1477.65181) Full Text: DOI arXiv
Chen, Yanping; Wang, Yang; Huang, Yunqing; Fu, Longxia Two-grid methods of expanded mixed finite-element solutions for nonlinear parabolic problems. (English) Zbl 1450.65117 Appl. Numer. Math. 144, 204-222 (2019). MSC: 65M60 65M06 65M55 65M12 65H10 35K55 76S05 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Numer. Math. 144, 204--222 (2019; Zbl 1450.65117) Full Text: DOI
Chen, Yanping; Zhang, Jinling; Huang, Yunqing; Xu, Yeqing A posteriori error estimates of hp spectral element methods for integral state constrained elliptic optimal control problems. (English) Zbl 1421.35188 Appl. Numer. Math. 144, 42-58 (2019). MSC: 35J99 49J20 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Numer. Math. 144, 42--58 (2019; Zbl 1421.35188) Full Text: DOI
Banz, Lothar; Petsche, Jan; Schröder, Andreas Hybridization and stabilization for hp-finite element methods. (English) Zbl 1407.65280 Appl. Numer. Math. 136, 66-102 (2019). MSC: 65N30 35R09 65N15 PDFBibTeX XMLCite \textit{L. Banz} et al., Appl. Numer. Math. 136, 66--102 (2019; Zbl 1407.65280) Full Text: DOI
Ioriatti, Matteo; Dumbser, Michael A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. (English) Zbl 1403.76046 Appl. Numer. Math. 135, 443-480 (2019). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{M. Ioriatti} and \textit{M. Dumbser}, Appl. Numer. Math. 135, 443--480 (2019; Zbl 1403.76046) Full Text: DOI
Huang, Jianguo; Huang, Xuehai An hp-version error analysis of the discontinuous Galerkin method for linear elasticity. (English) Zbl 1395.74084 Appl. Numer. Math. 133, 83-99 (2018). MSC: 74S05 65M60 74B05 PDFBibTeX XMLCite \textit{J. Huang} and \textit{X. Huang}, Appl. Numer. Math. 133, 83--99 (2018; Zbl 1395.74084) Full Text: DOI arXiv
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis A stable enriched Galerkin element for the Stokes problem. (English) Zbl 1395.65072 Appl. Numer. Math. 132, 1-21 (2018). MSC: 65M60 65M15 35Q30 76D05 PDFBibTeX XMLCite \textit{N. Chaabane} et al., Appl. Numer. Math. 132, 1--21 (2018; Zbl 1395.65072) Full Text: DOI
Oliveira, Saulo Pomponet; Leite, Stela Angelozi Error analysis of the spectral element method with Gauss-Lobatto-Legendre points for the acoustic wave equation in heterogeneous media. (English) Zbl 1393.65053 Appl. Numer. Math. 129, 39-57 (2018). MSC: 65N35 65M06 76Q05 65N15 65M15 PDFBibTeX XMLCite \textit{S. P. Oliveira} and \textit{S. A. Leite}, Appl. Numer. Math. 129, 39--57 (2018; Zbl 1393.65053) Full Text: DOI
Ta, Thi Thanh Mai; Le, Van Chien; Pham, Ha Thanh Shape optimization for Stokes flows using sensitivity analysis and finite element method. (English) Zbl 1462.65200 Appl. Numer. Math. 126, 160-179 (2018); corrigendum ibid. 129, 192 (2018). MSC: 65N30 76D07 49Q10 49Q12 76M10 PDFBibTeX XMLCite \textit{T. T. M. Ta} et al., Appl. Numer. Math. 126, 160--179 (2018; Zbl 1462.65200) Full Text: DOI
Aimi, A.; Diligenti, M.; Sampoli, M. L.; Sestini, A. Non-polynomial spline alternatives in isogeometric symmetric Galerkin BEM. (English) Zbl 1372.65316 Appl. Numer. Math. 116, 10-23 (2017). MSC: 65N38 PDFBibTeX XMLCite \textit{A. Aimi} et al., Appl. Numer. Math. 116, 10--23 (2017; Zbl 1372.65316) Full Text: DOI
Zhang, Cheng; Wang, Hui; Huang, Jingfang; Wang, Cheng; Yue, Xingye A second order operator splitting numerical scheme for the “good” Boussinesq equation. (English) Zbl 1368.65203 Appl. Numer. Math. 119, 179-193 (2017). MSC: 65M70 35Q53 65M12 65M15 PDFBibTeX XMLCite \textit{C. Zhang} et al., Appl. Numer. Math. 119, 179--193 (2017; Zbl 1368.65203) Full Text: DOI
Guillén-González, F.; Redondo-Neble, M. V. Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations. (English) Zbl 1387.86005 Appl. Numer. Math. 111, 219-245 (2017). MSC: 86-08 76M10 65N30 86A05 PDFBibTeX XMLCite \textit{F. Guillén-González} and \textit{M. V. Redondo-Neble}, Appl. Numer. Math. 111, 219--245 (2017; Zbl 1387.86005) Full Text: DOI arXiv
Schütz, Jochen; Kaiser, Klaus A new stable splitting for singularly perturbed ODEs. (English) Zbl 1382.65191 Appl. Numer. Math. 107, 18-33 (2016). MSC: 65L04 65L11 PDFBibTeX XMLCite \textit{J. Schütz} and \textit{K. Kaiser}, Appl. Numer. Math. 107, 18--33 (2016; Zbl 1382.65191) Full Text: DOI Link
Saito, Norikazu; Sugitani, Yoshiki; Zhou, Guanyu Unilateral problem for the Stokes equations: the well-posedness and finite element approximation. (English) Zbl 1381.76201 Appl. Numer. Math. 105, 124-147 (2016). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{N. Saito} et al., Appl. Numer. Math. 105, 124--147 (2016; Zbl 1381.76201) Full Text: DOI
Reisinger, C.; Forsyth, P. A. Piecewise constant policy approximations to Hamilton-Jacobi-Bellman equations. (English) Zbl 1382.65256 Appl. Numer. Math. 103, 27-47 (2016). MSC: 65M06 49L20 49M25 PDFBibTeX XMLCite \textit{C. Reisinger} and \textit{P. A. Forsyth}, Appl. Numer. Math. 103, 27--47 (2016; Zbl 1382.65256) Full Text: DOI arXiv
Guillén-González, F.; Rodríguez Galván, J. R. On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity. (English) Zbl 1329.76172 Appl. Numer. Math. 99, 51-76 (2016). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{F. Guillén-González} and \textit{J. R. Rodríguez Galván}, Appl. Numer. Math. 99, 51--76 (2016; Zbl 1329.76172) Full Text: DOI arXiv Link
Nguyen, Dinh-Liem A volume integral equation method for periodic scattering problems for anisotropic Maxwell’s equations. (English) Zbl 1329.65318 Appl. Numer. Math. 98, 59-78 (2015). MSC: 65R20 45A05 35P25 35Q61 78A45 65T50 PDFBibTeX XMLCite \textit{D.-L. Nguyen}, Appl. Numer. Math. 98, 59--78 (2015; Zbl 1329.65318) Full Text: DOI
Karaa, Samir; Pani, Amiya K.; Yadav, Sangita A priori \(hp\)-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations. (English) Zbl 1329.65224 Appl. Numer. Math. 96, 1-23 (2015). MSC: 65M60 45K05 35R09 65M12 65M15 PDFBibTeX XMLCite \textit{S. Karaa} et al., Appl. Numer. Math. 96, 1--23 (2015; Zbl 1329.65224) Full Text: DOI arXiv
Du, Jie; Shu, Chi-Wang; Zhang, Mengping A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework. (English) Zbl 1320.65114 Appl. Numer. Math. 95, 173-198 (2015). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{J. Du} et al., Appl. Numer. Math. 95, 173--198 (2015; Zbl 1320.65114) Full Text: DOI
Benítez, M.; Bermúdez, A. Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier-Stokes equations. (English) Zbl 1320.76060 Appl. Numer. Math. 95, 62-81 (2015). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Benítez} and \textit{A. Bermúdez}, Appl. Numer. Math. 95, 62--81 (2015; Zbl 1320.76060) Full Text: DOI
Solov’ëv, Sergey I. Finite element approximation with numerical integration for differential eigenvalue problems. (English) Zbl 1326.65099 Appl. Numer. Math. 93, 206-214 (2015). MSC: 65L60 65L15 PDFBibTeX XMLCite \textit{S. I. Solov'ëv}, Appl. Numer. Math. 93, 206--214 (2015; Zbl 1326.65099) Full Text: DOI
Qiu, Hailong; Mei, Liquan; Liu, Hui; Cartwright, Stephen A defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. (English) Zbl 1326.76066 Appl. Numer. Math. 90, 9-21 (2015). MSC: 76M10 65N30 65K15 65N15 76D05 35Q30 PDFBibTeX XMLCite \textit{H. Qiu} et al., Appl. Numer. Math. 90, 9--21 (2015; Zbl 1326.76066) Full Text: DOI
Mahmood, Mohammed Shuker; Kovářik, Karel Solution of double nonlinear problems in porous media by a combined finite volume-finite element algorithm. (English) Zbl 1290.76086 Appl. Numer. Math. 82, 11-31 (2014). MSC: 76M12 76M10 76S05 PDFBibTeX XMLCite \textit{M. S. Mahmood} and \textit{K. Kovářik}, Appl. Numer. Math. 82, 11--31 (2014; Zbl 1290.76086) Full Text: DOI
Adjerid, Slimane; Weinhart, Thomas Asymptotically exact discontinuous Galerkin error estimates for linear symmetric hyperbolic systems. (English) Zbl 1288.65139 Appl. Numer. Math. 76, 101-131 (2014). MSC: 65M60 35L40 65M15 65M12 PDFBibTeX XMLCite \textit{S. Adjerid} and \textit{T. Weinhart}, Appl. Numer. Math. 76, 101--131 (2014; Zbl 1288.65139) Full Text: DOI
Rogava, J.; Tsiklauri, M. Convergence of a semi-discrete scheme for an abstract nonlinear second order evolution equation. (English) Zbl 1302.65139 Appl. Numer. Math. 75, 22-36 (2014). MSC: 65J08 65L06 74H45 74K10 74S20 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Numer. Math. 75, 22--36 (2014; Zbl 1302.65139) Full Text: DOI
Zhang, Jiansong; Yang, Danping; Shen, Shuqian; Zhu, Jiang A new MMOCAA-MFE method for compressible miscible displacement in porous media. (English) Zbl 1302.76109 Appl. Numer. Math. 80, 65-80 (2014). MSC: 76M10 65M25 65M60 76S05 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Numer. Math. 80, 65--80 (2014; Zbl 1302.76109) Full Text: DOI
Falcone, M.; Finzi Vita, S.; Giorgi, T.; Smits, R. G. A semi-Lagrangian scheme for the game \(p\)-Laplacian via \(p\)-averaging. (English) Zbl 1320.65151 Appl. Numer. Math. 73, 63-80 (2013). Reviewer: Vivek S. Borkar (Mumbai) MSC: 65N06 65N12 35J60 35A35 35D40 35J92 35Q91 91A15 91A05 PDFBibTeX XMLCite \textit{M. Falcone} et al., Appl. Numer. Math. 73, 63--80 (2013; Zbl 1320.65151) Full Text: DOI arXiv
Krivodonova, Lilia; Qin, Ruibin An analysis of the spectrum of the discontinuous Galerkin method. II: Nonuniform grids. (English) Zbl 1282.65119 Appl. Numer. Math. 71, 41-62 (2013). MSC: 65M60 PDFBibTeX XMLCite \textit{L. Krivodonova} and \textit{R. Qin}, Appl. Numer. Math. 71, 41--62 (2013; Zbl 1282.65119) Full Text: DOI
Razzaq, M.; Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S. FEM multigrid techniques for fluid-structure interaction with application to hemodynamics. (English) Zbl 1426.76296 Appl. Numer. Math. 62, No. 9, 1156-1170 (2012). MSC: 76M10 76Z05 74F10 92C10 PDFBibTeX XMLCite \textit{M. Razzaq} et al., Appl. Numer. Math. 62, No. 9, 1156--1170 (2012; Zbl 1426.76296) Full Text: DOI
Fortes, M. A.; González, P.; Pasadas, M.; Rodríguez, M. L. Hole filling on surfaces by discrete variational splines. (English) Zbl 1252.65046 Appl. Numer. Math. 62, No. 9, 1050-1060 (2012). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D18 65D07 PDFBibTeX XMLCite \textit{M. A. Fortes} et al., Appl. Numer. Math. 62, No. 9, 1050--1060 (2012; Zbl 1252.65046) Full Text: DOI
Huang, Jianguo; Zhang, Shangyou A divergence-free finite element method for a type of 3D Maxwell equations. (English) Zbl 1241.78043 Appl. Numer. Math. 62, No. 6, 802-813 (2012). MSC: 78M10 78A30 35Q61 PDFBibTeX XMLCite \textit{J. Huang} and \textit{S. Zhang}, Appl. Numer. Math. 62, No. 6, 802--813 (2012; Zbl 1241.78043) Full Text: DOI
Gläfke, Matthias; Maischak, Matthias; Stephan, Ernst P. Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators. (English) Zbl 1237.65123 Appl. Numer. Math. 62, No. 6, 736-753 (2012). MSC: 65N30 65N38 PDFBibTeX XMLCite \textit{M. Gläfke} et al., Appl. Numer. Math. 62, No. 6, 736--753 (2012; Zbl 1237.65123) Full Text: DOI
Nesemann, Leo; Stephan, Ernst P. Numerical solution of an adhesion problem with FEM and BEM. (English) Zbl 1329.74280 Appl. Numer. Math. 62, No. 5, 606-619 (2012). MSC: 74S05 74S15 74M15 65K15 65N30 65N38 PDFBibTeX XMLCite \textit{L. Nesemann} and \textit{E. P. Stephan}, Appl. Numer. Math. 62, No. 5, 606--619 (2012; Zbl 1329.74280) Full Text: DOI
Dari, E. A.; Durán, R. G.; Padra, C. A posteriori error estimates for non-conforming approximation of eigenvalue problems. (English) Zbl 1242.65221 Appl. Numer. Math. 62, No. 5, 580-591 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N25 65N30 PDFBibTeX XMLCite \textit{E. A. Dari} et al., Appl. Numer. Math. 62, No. 5, 580--591 (2012; Zbl 1242.65221) Full Text: DOI Link
Chernov, Alexey Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading. (English) Zbl 1253.65184 Appl. Numer. Math. 62, No. 4, 360-377 (2012). Reviewer: Zhiming Chen (Beijing) MSC: 65N30 35J25 65R20 45K05 65N12 PDFBibTeX XMLCite \textit{A. Chernov}, Appl. Numer. Math. 62, No. 4, 360--377 (2012; Zbl 1253.65184) Full Text: DOI
Köster, M.; Ouazzi, A.; Schieweck, F.; Turek, S.; Zajac, P. New robust nonconforming finite elements of higher order. (English) Zbl 1238.65112 Appl. Numer. Math. 62, No. 3, 166-184 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J05 35Q30 76D05 76M10 65N55 PDFBibTeX XMLCite \textit{M. Köster} et al., Appl. Numer. Math. 62, No. 3, 166--184 (2012; Zbl 1238.65112) Full Text: DOI
Zhu, Jun; Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations. (English) Zbl 1366.76067 Appl. Numer. Math. 61, No. 4, 554-580 (2011). MSC: 76M20 76T99 76N15 65M06 PDFBibTeX XMLCite \textit{J. Zhu} et al., Appl. Numer. Math. 61, No. 4, 554--580 (2011; Zbl 1366.76067) Full Text: DOI
Poullet, Pascal; Boag, Amir Equation-based interpolation and incremental unknowns for solving the Helmholtz equation. (English) Zbl 1201.65192 Appl. Numer. Math. 60, No. 11, 1148-1156 (2010). MSC: 65N06 35J05 35Q60 65N55 PDFBibTeX XMLCite \textit{P. Poullet} and \textit{A. Boag}, Appl. Numer. Math. 60, No. 11, 1148--1156 (2010; Zbl 1201.65192) Full Text: DOI
Krebs, Andreas; Maischak, Matthias; Stephan, Ernst P. Adaptive FEM-BEM coupling with a Schur complement error indicator. (English) Zbl 1202.65155 Appl. Numer. Math. 60, No. 8, 798-808 (2010). Reviewer: Kai Schneider (Marseille) MSC: 65N30 65N38 35J65 65N15 PDFBibTeX XMLCite \textit{A. Krebs} et al., Appl. Numer. Math. 60, No. 8, 798--808 (2010; Zbl 1202.65155) Full Text: DOI
Shang, Yueqiang; He, Yinnian Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equations. (English) Zbl 1425.76147 Appl. Numer. Math. 60, No. 7, 719-737 (2010). MSC: 76M10 35Q30 65Y05 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{Y. He}, Appl. Numer. Math. 60, No. 7, 719--737 (2010; Zbl 1425.76147) Full Text: DOI
Mao, Shipeng; Zhao, Xuying; Shi, Zhongci Convergence of a standard adaptive nonconforming finite element method with optimal complexity. (English) Zbl 1202.65147 Appl. Numer. Math. 60, No. 7, 673-688 (2010). Reviewer: Petr Sváček (Praha) MSC: 65N12 65N30 PDFBibTeX XMLCite \textit{S. Mao} et al., Appl. Numer. Math. 60, No. 7, 673--688 (2010; Zbl 1202.65147) Full Text: DOI
Assous, Franck; Michaeli, Michael Hodge decomposition to solve singular static Maxwell’s equations in a non-convex polygon. (English) Zbl 1192.78043 Appl. Numer. Math. 60, No. 4, 432-441 (2010). MSC: 78M25 78M30 35J05 PDFBibTeX XMLCite \textit{F. Assous} and \textit{M. Michaeli}, Appl. Numer. Math. 60, No. 4, 432--441 (2010; Zbl 1192.78043) Full Text: DOI
Chen, Junqing; Xu, Yifeng; Zou, Jun Convergence analysis of an adaptive edge element method for Maxwell’s equations. (English) Zbl 1183.78032 Appl. Numer. Math. 59, No. 12, 2950-2969 (2009). Reviewer: Johannes Elschner (Berlin) MSC: 78M10 65N30 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Numer. Math. 59, No. 12, 2950--2969 (2009; Zbl 1183.78032) Full Text: DOI
Gwinner, Joachim On the \(p\)-version approximation in the boundary element method for a variational inequality of the second kind modelling unilateral contact and given friction. (English) Zbl 1171.74047 Appl. Numer. Math. 59, No. 11, 2774-2784 (2009). MSC: 74S15 74M15 74M10 PDFBibTeX XMLCite \textit{J. Gwinner}, Appl. Numer. Math. 59, No. 11, 2774--2784 (2009; Zbl 1171.74047) Full Text: DOI
Erath, C.; Ferraz-Leite, S.; Funken, S.; Praetorius, D. Energy norm based a posteriori error estimation for boundary element methods in two dimensions. (English) Zbl 1177.65192 Appl. Numer. Math. 59, No. 11, 2713-2734 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45E10 65N38 65N15 35J05 PDFBibTeX XMLCite \textit{C. Erath} et al., Appl. Numer. Math. 59, No. 11, 2713--2734 (2009; Zbl 1177.65192) Full Text: DOI
Georgiev, I.; Kraus, J.; Margenov, S.; Schicho, J. Locally optimized MIC(0) preconditioning of Rannacher-Turek FEM systems. (English) Zbl 1167.65453 Appl. Numer. Math. 59, No. 10, 2402-2415 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{I. Georgiev} et al., Appl. Numer. Math. 59, No. 10, 2402--2415 (2009; Zbl 1167.65453) Full Text: DOI
Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai Space-time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations. (English) Zbl 1165.76031 Appl. Numer. Math. 59, No. 9, 2303-2321 (2009). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., Appl. Numer. Math. 59, No. 9, 2303--2321 (2009; Zbl 1165.76031) Full Text: DOI
Sinha, Rajen K.; Deka, Bhupen Finite element methods for semilinear elliptic and parabolic interface problems. (English) Zbl 1172.65064 Appl. Numer. Math. 59, No. 8, 1870-1883 (2009). Reviewer: Gunther Schmidt (Berlin) MSC: 65N30 65M60 65N15 35J65 35K55 65M15 65M12 65N12 65M20 PDFBibTeX XMLCite \textit{R. K. Sinha} and \textit{B. Deka}, Appl. Numer. Math. 59, No. 8, 1870--1883 (2009; Zbl 1172.65064) Full Text: DOI
Dello Russo, Anahí; Alonso, Ana Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains. (English) Zbl 1172.65061 Appl. Numer. Math. 59, No. 8, 1796-1822 (2009). Reviewer: Weiying Zheng (Beijing) MSC: 65N25 65N15 65N30 78M10 35Q60 35P15 PDFBibTeX XMLCite \textit{A. Dello Russo} and \textit{A. Alonso}, Appl. Numer. Math. 59, No. 8, 1796--1822 (2009; Zbl 1172.65061) Full Text: DOI
Lai, Junjiang; Huang, Jianguo; Chen, Chuanmiao Vibration analysis of plane elasticity problems by the \(C^0\)-continuous time stepping finite element method. (English) Zbl 1421.74043 Appl. Numer. Math. 59, No. 5, 905-919 (2009). MSC: 74H45 74S05 65M15 65M60 PDFBibTeX XMLCite \textit{J. Lai} et al., Appl. Numer. Math. 59, No. 5, 905--919 (2009; Zbl 1421.74043) Full Text: DOI
Zhang, Shangyou A family of 3D continuously differentiable finite elements on tetrahedral grids. (English) Zbl 1205.76164 Appl. Numer. Math. 59, No. 1, 219-233 (2009). Reviewer: I. N. Katz (St. Louis) MSC: 76M10 65N30 76V05 PDFBibTeX XMLCite \textit{S. Zhang}, Appl. Numer. Math. 59, No. 1, 219--233 (2009; Zbl 1205.76164) Full Text: DOI
Pasadas, M.; Rodríguez, M. L. Construction and approximation of surfaces by discrete PDE splines on a polygonal domain. (English) Zbl 1167.65009 Appl. Numer. Math. 59, No. 1, 205-218 (2009). Reviewer: Aurelian Bejancu (Safat) MSC: 65D17 65D07 65D10 PDFBibTeX XMLCite \textit{M. Pasadas} and \textit{M. L. Rodríguez}, Appl. Numer. Math. 59, No. 1, 205--218 (2009; Zbl 1167.65009) Full Text: DOI
Burman, E.; Linke, A. Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements. (English) Zbl 1148.76031 Appl. Numer. Math. 58, No. 11, 1704-1719 (2008). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{E. Burman} and \textit{A. Linke}, Appl. Numer. Math. 58, No. 11, 1704--1719 (2008; Zbl 1148.76031) Full Text: DOI
Bi, Chunjia; Chen, Wenbin Mortar finite volume element method with Crouzeix-Raviart element for parabolic problems. (English) Zbl 1155.65077 Appl. Numer. Math. 58, No. 11, 1642-1657 (2008). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 35K15 65M55 65M15 PDFBibTeX XMLCite \textit{C. Bi} and \textit{W. Chen}, Appl. Numer. Math. 58, No. 11, 1642--1657 (2008; Zbl 1155.65077) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H. Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. (English) Zbl 1152.65112 Appl. Numer. Math. 58, No. 8, 1224-1244 (2008). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65F05 35J05 35J40 65N30 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, Appl. Numer. Math. 58, No. 8, 1224--1244 (2008; Zbl 1152.65112) Full Text: DOI
Jeon, Youngmok; Park, Eun-Jae Nonconforming cell boundary element methods for elliptic problems on triangular mesh. (English) Zbl 1145.65103 Appl. Numer. Math. 58, No. 6, 800-814 (2008). Reviewer: Petr Sváček (Praha) MSC: 65N38 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{E.-J. Park}, Appl. Numer. Math. 58, No. 6, 800--814 (2008; Zbl 1145.65103) Full Text: DOI
Djadel, K.; Nicaise, S. A non-conforming finite volume element method of weighted upstream type for the two-dimensional stationary Navier-Stokes system. (English) Zbl 1134.76038 Appl. Numer. Math. 58, No. 5, 615-634 (2008). MSC: 76M12 76D05 65N30 65N15 PDFBibTeX XMLCite \textit{K. Djadel} and \textit{S. Nicaise}, Appl. Numer. Math. 58, No. 5, 615--634 (2008; Zbl 1134.76038) Full Text: DOI
Kim, Kwang Y. A posteriori error estimators for locally conservative methods of nonlinear elliptic problems. (English) Zbl 1125.65098 Appl. Numer. Math. 57, No. 9, 1065-1080 (2007). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N15 65N30 35J65 PDFBibTeX XMLCite \textit{K. Y. Kim}, Appl. Numer. Math. 57, No. 9, 1065--1080 (2007; Zbl 1125.65098) Full Text: DOI
Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. (English) Zbl 1119.65093 Appl. Numer. Math. 57, No. 9, 1050-1064 (2007). MSC: 65M60 35L05 PDFBibTeX XMLCite \textit{M. Lukáčová-Medvid'ová} et al., Appl. Numer. Math. 57, No. 9, 1050--1064 (2007; Zbl 1119.65093) Full Text: DOI Link
Nkemzi, Boniface Optimal convergence recovery for the Fourier-finite-element approximation of Maxwell’s equations in nonsmooth axisymmetric domains. (English) Zbl 1125.65096 Appl. Numer. Math. 57, No. 9, 989-1007 (2007). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N12 65N30 65N15 35Q60 78A25 78M10 PDFBibTeX XMLCite \textit{B. Nkemzi}, Appl. Numer. Math. 57, No. 9, 989--1007 (2007; Zbl 1125.65096) Full Text: DOI
Tai, Xue-Cheng; Li, Hongwei A piecewise constant level set method for elliptic inverse problems. (English) Zbl 1115.65112 Appl. Numer. Math. 57, No. 5-7, 686-696 (2007). MSC: 65N21 35R30 35J25 65N30 35R05 PDFBibTeX XMLCite \textit{X.-C. Tai} and \textit{H. Li}, Appl. Numer. Math. 57, No. 5--7, 686--696 (2007; Zbl 1115.65112) Full Text: DOI
Zheng, Chunxiong Error analysis of a coupled finite-infinite element method for an exterior Poisson problem. (English) Zbl 1112.65113 Appl. Numer. Math. 57, No. 3, 270-280 (2007). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{C. Zheng}, Appl. Numer. Math. 57, No. 3, 270--280 (2007; Zbl 1112.65113) Full Text: DOI
Vohralík, M.; Maryška, J.; Severýn, O. Mixed and nonconforming finite element methods on a system of polygons. (English) Zbl 1112.65123 Appl. Numer. Math. 57, No. 2, 176-193 (2007). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{M. Vohralík} et al., Appl. Numer. Math. 57, No. 2, 176--193 (2007; Zbl 1112.65123) Full Text: DOI
Jung, M.; Todorov, T. D. Isoparametric multigrid method for reaction-diffusion equations on two-dimensional domains. (English) Zbl 1106.65107 Appl. Numer. Math. 56, No. 12, 1570-1583 (2006). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N55 65N30 65N12 35J25 65N50 PDFBibTeX XMLCite \textit{M. Jung} and \textit{T. D. Todorov}, Appl. Numer. Math. 56, No. 12, 1570--1583 (2006; Zbl 1106.65107) Full Text: DOI
Eppler, Karsten; Harbrecht, Helmut Efficient treatment of stationary free boundary problems. (English) Zbl 1104.65111 Appl. Numer. Math. 56, No. 10-11, 1326-1339 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35J05 49Q10 35R35 65K10 65N38 65T60 49M15 PDFBibTeX XMLCite \textit{K. Eppler} and \textit{H. Harbrecht}, Appl. Numer. Math. 56, No. 10--11, 1326--1339 (2006; Zbl 1104.65111) Full Text: DOI
Bauer, Florian; Grüne, Lars; Semmler, Willi Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations. (English) Zbl 1100.65056 Appl. Numer. Math. 56, No. 9, 1196-1210 (2006). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49L25 49M25 PDFBibTeX XMLCite \textit{F. Bauer} et al., Appl. Numer. Math. 56, No. 9, 1196--1210 (2006; Zbl 1100.65056) Full Text: DOI
Mao, Shipeng; Chen, Shaochun; Sun, Huixia A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element. (English) Zbl 1094.65120 Appl. Numer. Math. 56, No. 7, 937-961 (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. Mao} et al., Appl. Numer. Math. 56, No. 7, 937--961 (2006; Zbl 1094.65120) Full Text: DOI
Roland, Ch.; Varadhan, R. New iterative schemes for nonlinear fixed point problems, with applications to problems with bifurcations and incomplete-data problems. (English) Zbl 1119.65335 Appl. Numer. Math. 55, No. 2, 215-226 (2005). MSC: 65H10 PDFBibTeX XMLCite \textit{Ch. Roland} and \textit{R. Varadhan}, Appl. Numer. Math. 55, No. 2, 215--226 (2005; Zbl 1119.65335) Full Text: DOI
Chacón Rebollo, T.; Rodríguez Gómez, D. A numerical solver for the primitive equations of the ocean using term-by-term stabilization. (English) Zbl 1072.76037 Appl. Numer. Math. 55, No. 1, 1-31 (2005). MSC: 76M10 76U05 86A05 86-08 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} and \textit{D. Rodríguez Gómez}, Appl. Numer. Math. 55, No. 1, 1--31 (2005; Zbl 1072.76037) Full Text: DOI
Maischak, Matthias; Stephan, Ernst P. Adaptive \(hp\)-versions of BEM for Signorini problems. (English) Zbl 1114.74062 Appl. Numer. Math. 54, No. 3-4, 425-449 (2005). MSC: 74S15 65N38 74M15 PDFBibTeX XMLCite \textit{M. Maischak} and \textit{E. P. Stephan}, Appl. Numer. Math. 54, No. 3--4, 425--449 (2005; Zbl 1114.74062) Full Text: DOI
Steinbach, O. A natural domain decomposition method with non-matching grids. (English) Zbl 1078.65121 Appl. Numer. Math. 54, No. 3-4, 362-377 (2005). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N55 35J25 65N30 PDFBibTeX XMLCite \textit{O. Steinbach}, Appl. Numer. Math. 54, No. 3--4, 362--377 (2005; Zbl 1078.65121) Full Text: DOI
Wang, Yanqiu Overlapping Schwarz preconditioner for the mixed formulation of plane elasticity. (English) Zbl 1081.74044 Appl. Numer. Math. 54, No. 2, 292-309 (2005). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{Y. Wang}, Appl. Numer. Math. 54, No. 2, 292--309 (2005; Zbl 1081.74044) Full Text: DOI
Barash, Danny Nonlinear diffusion filtering on extended neighborhood. (English) Zbl 1061.94508 Appl. Numer. Math. 52, No. 1, 1-11 (2005). MSC: 94A08 68U10 68T05 PDFBibTeX XMLCite \textit{D. Barash}, Appl. Numer. Math. 52, No. 1, 1--11 (2005; Zbl 1061.94508) Full Text: DOI
Sun, Shuyu; Wheeler, Mary F. Discontinuous Galerkin methods for coupled flow and reactive transport problems. (English) Zbl 1079.76584 Appl. Numer. Math. 52, No. 2-3, 273-298 (2005). MSC: 76M10 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Appl. Numer. Math. 52, No. 2--3, 273--298 (2005; Zbl 1079.76584) Full Text: DOI