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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 
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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 
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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 
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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 
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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] 
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 
[15] 
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 
[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] 
Mingyou Zhang, Qingsong Zhao, Yu Liu, Wenke Li. Finite time blowup and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition. Electronic Research Archive, 2020, 28 (1) : 369381. doi: 10.3934/era.2020021 
[18] 
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 
[19] 
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 
[20] 
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 
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