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A nonoverlapping domain decomposition method for nonconforming finite element problems
1.  Department of Mathematics, University of Tennessee, Knoxville, TN37996, United States 
[1] 
Xiaofei Cao, Guowei Dai. Stability analysis of a model on varying domain with the Robin boundary condition. Discrete & Continuous Dynamical Systems  S, 2017, 10 (5) : 935942. doi: 10.3934/dcdss.2017048 
[2] 
Raffaela Capitanelli. Robin boundary condition on scale irregular fractals. Communications on Pure & Applied Analysis, 2010, 9 (5) : 12211234. doi: 10.3934/cpaa.2010.9.1221 
[3] 
Guowei Dai, Ruyun Ma, Haiyan Wang, Feng Wang, Kuai Xu. Partial differential equations with Robin boundary condition in online social networks. Discrete & Continuous Dynamical Systems  B, 2015, 20 (6) : 16091624. doi: 10.3934/dcdsb.2015.20.1609 
[4] 
Hakima Bessaih, Yalchin Efendiev, Florin Maris. Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition. Networks & Heterogeneous Media, 2015, 10 (2) : 343367. doi: 10.3934/nhm.2015.10.343 
[5] 
Masaru Ikehata. On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method. Inverse Problems & Imaging, 2017, 11 (1) : 99123. doi: 10.3934/ipi.2017006 
[6] 
Haiyang He. Asymptotic behavior of the ground state Solutions for Hénon equation with Robin boundary condition. Communications on Pure & Applied Analysis, 2013, 12 (6) : 23932408. doi: 10.3934/cpaa.2013.12.2393 
[7] 
VicenŢiu D. RǍdulescu, Somayeh Saiedinezhad. A nonlinear eigenvalue problem with $ p(x) $growth and generalized Robin boundary value condition. Communications on Pure & Applied Analysis, 2018, 17 (1) : 3952. doi: 10.3934/cpaa.2018003 
[8] 
Kei Fong Lam, Hao Wu. Convergence to equilibrium for a bulk–surface Allen–Cahn system coupled through a nonlinear Robin boundary condition. Discrete & Continuous Dynamical Systems  A, 2020, 40 (3) : 18471878. doi: 10.3934/dcds.2020096 
[9] 
Qun Lin, Hehu Xie. Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods. Inverse Problems & Imaging, 2013, 7 (3) : 795811. doi: 10.3934/ipi.2013.7.795 
[10] 
Umberto De Maio, Akamabadath K. Nandakumaran, Carmen Perugia. Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. Evolution Equations & Control Theory, 2015, 4 (3) : 325346. doi: 10.3934/eect.2015.4.325 
[11] 
Rongliang Chen, Jizu Huang, XiaoChuan Cai. A parallel domain decomposition algorithm for large scale image denoising. Inverse Problems & Imaging, 2019, 13 (6) : 12591282. doi: 10.3934/ipi.2019055 
[12] 
Md. Masum Murshed, Kouta Futai, Masato Kimura, Hirofumi Notsu. Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 00. doi: 10.3934/dcdss.2020230 
[13] 
Salim Meddahi, David Mora. Nonconforming mixed finite element approximation of a fluidstructure interaction spectral problem. Discrete & Continuous Dynamical Systems  S, 2016, 9 (1) : 269287. doi: 10.3934/dcdss.2016.9.269 
[14] 
Sören Bartels, Marijo Milicevic. Iterative finite element solution of a constrained total variation regularized model problem. Discrete & Continuous Dynamical Systems  S, 2017, 10 (6) : 12071232. doi: 10.3934/dcdss.2017066 
[15] 
C. Bourdarias, M. Gisclon, A. Omrane. Transmission boundary conditions in a modelkinetic decomposition. Discrete & Continuous Dynamical Systems  B, 2002, 2 (1) : 6994. doi: 10.3934/dcdsb.2002.2.69 
[16] 
Xiaoqiang Dai, Chao Yang, Shaobin Huang, Tao Yu, Yuanran Zhu. Finite time blowup for a wave equation with dynamic boundary condition at critical and high energy levels in control systems. Electronic Research Archive, 2020, 28 (1) : 91102. doi: 10.3934/era.2020006 
[17] 
Xiaomao Deng, XiaoChuan Cai, Jun Zou. A parallel spacetime domain decomposition method for unsteady source inversion problems. Inverse Problems & Imaging, 2015, 9 (4) : 10691091. doi: 10.3934/ipi.2015.9.1069 
[18] 
Y. Kabeya. Behaviors of solutions to a scalarfield equation involving the critical Sobolev exponent with the Robin condition. Discrete & Continuous Dynamical Systems  A, 2006, 14 (1) : 117134. doi: 10.3934/dcds.2006.14.117 
[19] 
R.G. Duran, J.I. Etcheverry, J.D. Rossi. Numerical approximation of a parabolic problem with a nonlinear boundary condition. Discrete & Continuous Dynamical Systems  A, 1998, 4 (3) : 497506. doi: 10.3934/dcds.1998.4.497 
[20] 
Samia Challal, Abdeslem Lyaghfouri. The heterogeneous dam problem with leaky boundary condition. Communications on Pure & Applied Analysis, 2011, 10 (1) : 93125. doi: 10.3934/cpaa.2011.10.93 
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