Alshehri, Najwa; Boffi, Daniele; Gastaldi, Lucia Unfitted mixed finite element methods for elliptic interface problems. (English) Zbl 07798415 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23063, 24 p. (2024). MSC: 65N30 35J25 76M10 PDFBibTeX XMLCite \textit{N. Alshehri} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23063, 24 p. (2024; Zbl 07798415) Full Text: DOI arXiv
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei A new \(\phi \)-FEM approach for problems with natural boundary conditions. (English) Zbl 07779711 Numer. Methods Partial Differ. Equations 39, No. 1, 281-303 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N85 65N12 65N15 35J25 65F35 PDFBibTeX XMLCite \textit{M. Duprez} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 281--303 (2023; Zbl 07779711) Full Text: DOI arXiv
Li, Jun; Jiang, Yao-Lin; Miao, Zhen Analysis of the parareal approach based on discontinuous Galerkin method for time-dependent Stokes equations. (English) Zbl 07779697 Numer. Methods Partial Differ. Equations 39, No. 1, 6-29 (2023). MSC: 65M60 65M06 65N30 65M12 65N15 65Y05 76D07 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 6--29 (2023; Zbl 07779697) Full Text: DOI
Pollock, Sara; Rebholz, Leo G.; Vargun, Duygu Anderson acceleration for a regularized Bingham model. (English) Zbl 07777381 Numer. Methods Partial Differ. Equations 39, No. 5, 3874-3896 (2023). MSC: 65N30 65N12 76A10 35B65 47H10 76M10 35Q35 PDFBibTeX XMLCite \textit{S. Pollock} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3874--3896 (2023; Zbl 07777381) Full Text: DOI arXiv
Masri, Rami; Liu, Chen; Riviere, Beatrice Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations. (English) Zbl 07777349 Numer. Methods Partial Differ. Equations 39, No. 4, 3108-3144 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Masri} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3108--3144 (2023; Zbl 07777349) Full Text: DOI arXiv
Agress, Daniel; Guidotti, Patrick; Yan, Dong The smooth extension embedding method with Chebyshev polynomials. (English) Zbl 07777010 Numer. Methods Partial Differ. Equations 39, No. 3, 2355-2377 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Agress} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2355--2377 (2023; Zbl 07777010) Full Text: DOI arXiv
Patra, Suchismita; Kumar, V. V. K. Srinivas A minimax algorithm based on Newton’s method and an application for finding multiple solutions of \(p\)-area problems. (English) Zbl 07777007 Numer. Methods Partial Differ. Equations 39, No. 3, 2284-2306 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Patra} and \textit{V. V. K. S. Kumar}, Numer. Methods Partial Differ. Equations 39, No. 3, 2284--2306 (2023; Zbl 07777007) Full Text: DOI
Xu, Minqiang; Lin, Runchang; Zou, Qingsong A \(C^0\) linear finite element method for a second-order elliptic equation in non-divergence form with Cordes coefficients. (English) Zbl 07777005 Numer. Methods Partial Differ. Equations 39, No. 3, 2244-2269 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Xu} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2244--2269 (2023; Zbl 07777005) Full Text: DOI arXiv
Chen, Wenbin; Han, Daozhi; Wang, Xiaoming; Zhang, Yichao Conservative unconditionally stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system. (English) Zbl 07779680 Numer. Methods Partial Differ. Equations 38, No. 6, 1823-1842 (2022). MSC: 65M60 65M06 65N30 76S05 76D05 76D07 76T06 76R10 35K05 35B35 35Q35 35Q79 PDFBibTeX XMLCite \textit{W. Chen} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1823--1842 (2022; Zbl 07779680) Full Text: DOI OA License
Guo, Liming; Chen, Wenbin Decoupled modified characteristic finite element method for the time-dependent Navier-Stokes/Biot problem. (English) Zbl 07779675 Numer. Methods Partial Differ. Equations 38, No. 6, 1684-1712 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76S05 74F10 74L10 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{L. Guo} and \textit{W. Chen}, Numer. Methods Partial Differ. Equations 38, No. 6, 1684--1712 (2022; Zbl 07779675) Full Text: DOI
Burman, Erik; Durst, Rebecca; Guzmán, Johnny Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem. (English) Zbl 07778301 Numer. Methods Partial Differ. Equations 38, No. 5, 1396-1406 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 74F10 74B10 35B65 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{E. Burman} et al., Numer. Methods Partial Differ. Equations 38, No. 5, 1396--1406 (2022; Zbl 07778301) Full Text: DOI arXiv
Ding, Rui; Shen, Quan; Huo, Yuebin The element-free Galerkin method for a quasistatic contact problem with the Tresca friction in elastic materials. (English) Zbl 07777689 Numer. Methods Partial Differ. Equations 37, No. 1, 69-97 (2021). MSC: 65M60 65M06 65N30 65K10 65M15 74M15 74B20 35A15 74S05 74S20 35R35 PDFBibTeX XMLCite \textit{R. Ding} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 69--97 (2021; Zbl 07777689) Full Text: DOI
Seboldt, Anyastassia; Bukač, Martina A non-iterative domain decomposition method for the interaction between a fluid and a thick structure. (English) Zbl 07776173 Numer. Methods Partial Differ. Equations 37, No. 4, 2803-2832 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Seboldt} and \textit{M. Bukač}, Numer. Methods Partial Differ. Equations 37, No. 4, 2803--2832 (2021; Zbl 07776173) Full Text: DOI arXiv
Caucao, Sergio; Gatica, Gabriel N.; Sandoval, Felipe A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. (English) Zbl 07776086 Numer. Methods Partial Differ. Equations 37, No. 3, 2550-2587 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Caucao} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2550--2587 (2021; Zbl 07776086) Full Text: DOI
Darehmiraki, Majid; Rezazadeh, Arezou; Ahmadian, Ali An artificial neural network-based method for the optimal control problem governed by the fractional parabolic equation. (English) Zbl 07776072 Numer. Methods Partial Differ. Equations 37, No. 3, 2296-2316 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Darehmiraki} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2296--2316 (2021; Zbl 07776072) Full Text: DOI
Blechschmidt, Jan; Herzog, Roland; Winkler, Max Error estimation for second-order partial differential equations in nonvariational form. (English) Zbl 07776066 Numer. Methods Partial Differ. Equations 37, No. 3, 2190-2221 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Blechschmidt} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2190--2221 (2021; Zbl 07776066) Full Text: DOI arXiv OA License
Alhammali, Azhar; Peszynska, Malgorzata Numerical analysis of a parabolic variational inequality system modeling biofilm growth at the porescale. (English) Zbl 07771422 Numer. Methods Partial Differ. Equations 36, No. 5, 941-971 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Alhammali} and \textit{M. Peszynska}, Numer. Methods Partial Differ. Equations 36, No. 5, 941--971 (2020; Zbl 07771422) Full Text: DOI arXiv
Barrenechea, Gabriel R.; González, Cheherazada A stabilized finite element method for a fictitious domain problem allowing small inclusions. (English) Zbl 1390.65140 Numer. Methods Partial Differ. Equations 34, No. 1, 167-183 (2018). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N30 65N12 65N85 PDFBibTeX XMLCite \textit{G. R. Barrenechea} and \textit{C. González}, Numer. Methods Partial Differ. Equations 34, No. 1, 167--183 (2018; Zbl 1390.65140) Full Text: DOI
Qiu, Hailong; Zhang, Yongchao; Mei, Liquan; Xue, Changfeng A penalty-FEM for Navier-Stokes type variational inequality with nonlinear damping term. (English) Zbl 1397.76076 Numer. Methods Partial Differ. Equations 33, No. 3, 918-940 (2017). MSC: 76M10 65N30 65K15 65N15 76D05 PDFBibTeX XMLCite \textit{H. Qiu} et al., Numer. Methods Partial Differ. Equations 33, No. 3, 918--940 (2017; Zbl 1397.76076) Full Text: DOI
Banz, Lothar; Lamichhane, Bishnu P.; Stephan, Ernst P. A new three-field formulation of the biharmonic problem and its finite element discretization. (English) Zbl 1365.65249 Numer. Methods Partial Differ. Equations 33, No. 1, 199-217 (2017). Reviewer: I. N. Katz (St. Louis) MSC: 65N30 65N15 65N12 35J40 PDFBibTeX XMLCite \textit{L. Banz} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 199--217 (2017; Zbl 1365.65249) Full Text: DOI
Gudi, Thirupathi; Porwal, Kamana A \(C^0\) interior penalty method for a fourth-order variational inequality of the second kind. (English) Zbl 1339.65088 Numer. Methods Partial Differ. Equations 32, No. 1, 36-59 (2016). Reviewer: Bülent Karasözen (Ankara) MSC: 65K15 49J40 74M10 74M15 49M25 PDFBibTeX XMLCite \textit{T. Gudi} and \textit{K. Porwal}, Numer. Methods Partial Differ. Equations 32, No. 1, 36--59 (2016; Zbl 1339.65088) Full Text: DOI
Jing, Feifei; Li, Jian; Chen, Zhangxin Stabilized finite element methods for a blood flow model of arteriosclerosis. (English) Zbl 1371.92039 Numer. Methods Partial Differ. Equations 31, No. 6, 2063-2079 (2015). MSC: 92C35 92C50 49N90 PDFBibTeX XMLCite \textit{F. Jing} et al., Numer. Methods Partial Differ. Equations 31, No. 6, 2063--2079 (2015; Zbl 1371.92039) Full Text: DOI
Bukač, Martina; Yotov, Ivan; Zunino, Paolo An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure. (English) Zbl 1329.74270 Numer. Methods Partial Differ. Equations 31, No. 4, 1054-1100 (2015). MSC: 74S05 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{M. Bukač} et al., Numer. Methods Partial Differ. Equations 31, No. 4, 1054--1100 (2015; Zbl 1329.74270) Full Text: DOI
Zuo, Liyun; Hou, Yanren Numerical analysis for the mixed Navier-Stokes and Darcy problem with the Beavers-Joseph interface condition. (English) Zbl 1329.76194 Numer. Methods Partial Differ. Equations 31, No. 4, 1009-1030 (2015). MSC: 76M10 65N30 76D05 76S05 PDFBibTeX XMLCite \textit{L. Zuo} and \textit{Y. Hou}, Numer. Methods Partial Differ. Equations 31, No. 4, 1009--1030 (2015; Zbl 1329.76194) Full Text: DOI
Huang, Xuehai; Huang, Jianguo A reduced local \(C^{0}\) discontinuous Galerkin method for Kirchhoff plates. (English) Zbl 1425.74466 Numer. Methods Partial Differ. Equations 30, No. 6, 1902-1930 (2014). MSC: 74S05 74K10 65N15 PDFBibTeX XMLCite \textit{X. Huang} and \textit{J. Huang}, Numer. Methods Partial Differ. Equations 30, No. 6, 1902--1930 (2014; Zbl 1425.74466) Full Text: DOI
Yang, Xiaozhong; Wang, Guanghui; Gu, Xiangqian Numerical solution for a parabolic obstacle problem with nonsmooth initial data. (English) Zbl 1312.65107 Numer. Methods Partial Differ. Equations 30, No. 5, 1740-1754 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 49J40 49M25 PDFBibTeX XMLCite \textit{X. Yang} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1740--1754 (2014; Zbl 1312.65107) Full Text: DOI
Feng, Xiaobing; Lewis, Thomas Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. (English) Zbl 1309.65133 Numer. Methods Partial Differ. Equations 30, No. 5, 1538-1557 (2014). MSC: 65N30 65M60 35J60 35K05 35J96 35K96 35F21 49L25 PDFBibTeX XMLCite \textit{X. Feng} and \textit{T. Lewis}, Numer. Methods Partial Differ. Equations 30, No. 5, 1538--1557 (2014; Zbl 1309.65133) Full Text: DOI Link
Liu, Zhiyong; He, Yinnian An iterative meshfree method for the elliptic Monge-Ampère equation in 2D. (English) Zbl 1309.65142 Numer. Methods Partial Differ. Equations 30, No. 5, 1507-1517 (2014). MSC: 65N35 35J96 65N12 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Y. He}, Numer. Methods Partial Differ. Equations 30, No. 5, 1507--1517 (2014; Zbl 1309.65142) Full Text: DOI
Zuo, Liyun; Hou, Yanren A decoupling two-grid algorithm for the mixed Stokes-Darcy model with the Beavers-Joseph interface condition. (English) Zbl 1355.76038 Numer. Methods Partial Differ. Equations 30, No. 3, 1066-1082 (2014). MSC: 76M10 76S05 65N30 PDFBibTeX XMLCite \textit{L. Zuo} and \textit{Y. Hou}, Numer. Methods Partial Differ. Equations 30, No. 3, 1066--1082 (2014; Zbl 1355.76038) Full Text: DOI
Burman, Erik Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. (English) Zbl 1288.65153 Numer. Methods Partial Differ. Equations 30, No. 2, 567-592 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{E. Burman}, Numer. Methods Partial Differ. Equations 30, No. 2, 567--592 (2014; Zbl 1288.65153) Full Text: DOI arXiv
Zhou, Zhaojie; Yu, Xiaoming; Yan, Ningning Local discontinuous Galerkin approximation of convection-dominated diffusion optimal control problems with control constraints. (English) Zbl 1284.65081 Numer. Methods Partial Differ. Equations 30, No. 1, 339-360 (2014). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Numer. Methods Partial Differ. Equations 30, No. 1, 339--360 (2014; Zbl 1284.65081) Full Text: DOI
Wang, Fei Discontinuous Galerkin methods for solving double obstacle problem. (English) Zbl 1276.65038 Numer. Methods Partial Differ. Equations 29, No. 2, 706-720 (2013). Reviewer: Elena Resmerita (Linz) MSC: 65K15 49J40 49M25 PDFBibTeX XMLCite \textit{F. Wang}, Numer. Methods Partial Differ. Equations 29, No. 2, 706--720 (2013; Zbl 1276.65038) Full Text: DOI
Campo, Marco; Copetti, Maria I. M.; Fernández, José R. Dynamic vibrations of a damageable viscoelastic beam in contact with two stops. (English) Zbl 1332.74027 Numer. Methods Partial Differ. Equations 29, No. 2, 647-666 (2013). MSC: 74H45 74K10 74D05 74S05 74R20 74S20 PDFBibTeX XMLCite \textit{M. Campo} et al., Numer. Methods Partial Differ. Equations 29, No. 2, 647--666 (2013; Zbl 1332.74027) Full Text: DOI
Zhang, Jianying; Jiang, Bin Enhanced Euler’s method to a free boundary porous media flow problem. (English) Zbl 1386.76169 Numer. Methods Partial Differ. Equations 28, No. 5, 1558-1573 (2012). MSC: 76S05 76M25 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{B. Jiang}, Numer. Methods Partial Differ. Equations 28, No. 5, 1558--1573 (2012; Zbl 1386.76169) Full Text: DOI
Iqbal, Shaukat Galerkin’s finite element formulation of the system of fourth-order boundary-value problems. (English) Zbl 1228.65127 Numer. Methods Partial Differ. Equations 27, No. 6, 1551-1560 (2011). MSC: 65L60 65L10 34B05 PDFBibTeX XMLCite \textit{S. Iqbal}, Numer. Methods Partial Differ. Equations 27, No. 6, 1551--1560 (2011; Zbl 1228.65127) Full Text: DOI
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou A new approach for solving Stokes systems arising from a distributive relaxation method. (English) Zbl 1221.65301 Numer. Methods Partial Differ. Equations 27, No. 4, 898-914 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N30 35J25 35Q30 65N12 PDFBibTeX XMLCite \textit{C. Bacuta} et al., Numer. Methods Partial Differ. Equations 27, No. 4, 898--914 (2011; Zbl 1221.65301) Full Text: DOI
Lozinski, Alexei; Pironneau, Olivier Numerical zoom for advection-diffusion problems with localized multiscales. (English) Zbl 1211.76072 Numer. Methods Partial Differ. Equations 27, No. 1, 197-207 (2011). Reviewer: Nina Shokina (Freiburg) MSC: 76M10 76S05 65M55 65M15 PDFBibTeX XMLCite \textit{A. Lozinski} and \textit{O. Pironneau}, Numer. Methods Partial Differ. Equations 27, No. 1, 197--207 (2011; Zbl 1211.76072) Full Text: DOI
Zhu, Jingtao; Ma, Yichen Fictitious domain method with penalty for an incompressible fluid. (English) Zbl 1425.65128 Numer. Methods Partial Differ. Equations 26, No. 1, 229-238 (2010). MSC: 65M85 76D05 76M25 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{Y. Ma}, Numer. Methods Partial Differ. Equations 26, No. 1, 229--238 (2010; Zbl 1425.65128) Full Text: DOI
Patel, Ajit; Pani, Amiya K.; Nataraj, Neela Mortar element methods for parabolic problems. (English) Zbl 1156.65083 Numer. Methods Partial Differ. Equations 24, No. 6, 1460-1484 (2008). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M20 65M60 35K15 65M12 65M15 PDFBibTeX XMLCite \textit{A. Patel} et al., Numer. Methods Partial Differ. Equations 24, No. 6, 1460--1484 (2008; Zbl 1156.65083) Full Text: DOI
Abboud, T.; Salaün, M.; Salmon, S. Coupling harmonic functions-finite elements for solving the stream function-vorticity Stokes problem. (English) Zbl 1086.76036 Numer. Methods Partial Differ. Equations 20, No. 5, 765-788 (2004). MSC: 76M10 76D05 65N12 PDFBibTeX XMLCite \textit{T. Abboud} et al., Numer. Methods Partial Differ. Equations 20, No. 5, 765--788 (2004; Zbl 1086.76036) Full Text: DOI
Swann, Howard On solenoidal high-degree polynomial approximations to solutions of the stationary Stokes equations. (English) Zbl 0964.76045 Numer. Methods Partial Differ. Equations 16, No. 5, 480-493 (2000). MSC: 76M10 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{H. Swann}, Numer. Methods Partial Differ. Equations 16, No. 5, 480--493 (2000; Zbl 0964.76045) Full Text: DOI
Dai, W.; Nassar, R. A second-order ADI scheme for three-dimensional parabolic differential equations. (English) Zbl 0903.65070 Numer. Methods Partial Differ. Equations 14, No. 2, 159-168 (1998). Reviewer: E.Schechter (Kaiserslautern) MSC: 65M06 65M12 65F10 35K15 PDFBibTeX XMLCite \textit{W. Dai} and \textit{R. Nassar}, Numer. Methods Partial Differ. Equations 14, No. 2, 159--168 (1998; Zbl 0903.65070) Full Text: DOI
Swann, Howard Error estimates using the cell discretization method for second-order hyperbolic equations. (English) Zbl 0943.65105 Numer. Methods Partial Differ. Equations 13, No. 5, 531-548 (1997). Reviewer: Paula Oliveira (Coimbra) MSC: 65M15 35L15 65M12 65M60 PDFBibTeX XMLCite \textit{H. Swann}, Numer. Methods Partial Differ. Equations 13, No. 5, 531--548 (1997; Zbl 0943.65105) Full Text: DOI
Svanstedt, Nils; Wellander, Niklas; Wyller, John A numerical algorithm for nonlinear parabolic equations with highly oscillating coefficients. (English) Zbl 0859.65105 Numer. Methods Partial Differ. Equations 12, No. 4, 423-440 (1996). Reviewer: C.A.De Moura (Nova Friburgo) MSC: 65M60 65M15 35K55 PDFBibTeX XMLCite \textit{N. Svanstedt} et al., Numer. Methods Partial Differ. Equations 12, No. 4, 423--440 (1996; Zbl 0859.65105) Full Text: DOI