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Numerical Functional Analysis and Optimization Volume 27, 2006 - Issue 1
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Original Articles

On the Convergence of Finite Element Method for Second Order Elliptic Interface Problems

Rajen Kumar Sinha Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, IndiaCorrespondence[email protected]
&
Bhupen Deka Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India
Pages 99-115 | Published online: 07 Feb 2007

Citations (15)

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Bhupen Deka & RajenK. Sinha. (2011) and Norms Error Estimates in Finite Element Method for Linear Parabolic Interface Problems. Numerical Functional Analysis and Optimization 32:3, pages 267-285.
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Articles from other publishers (14)

Jai Tushar, Anil Kumar & Sarvesh Kumar. (2022) Virtual element methods for general linear elliptic interface problems on polygonal meshes with small edges. Computers & Mathematics with Applications 122, pages 61-75.
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Fei Xu, Yasai Guo, Qiumei Huang & Hongkun Ma. (2022) An efficient multigrid method for semilinear interface problems. Applied Numerical Mathematics 179, pages 238-254.
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Aniruddha Bora & Weizhong Dai. (2020) Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Applied Mathematics and Computation 386, pages 125516.
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Neela Nataraj & A. S. Vasudeva Murthy. (2019) Finite element methods: Research in India over the last decade. Indian Journal of Pure and Applied Mathematics 50:3, pages 739-765.
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Yun Yan, Weizhong Dai, Longyuan Wu & Shuying Zhai. (2019) Accurate gradient preserved method for solving heat conduction equations in double layers. Applied Mathematics and Computation 354, pages 58-85.
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Lunji Song & Shan Zhao. (2018) Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions. Journal of Computational and Applied Mathematics 330, pages 356-379.
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Cheng Wang & Pengtao Sun. (2016) A Fictitious Domain Method with Distributed Lagrange Multiplier for Parabolic Problems With Moving Interfaces. Journal of Scientific Computing 70:2, pages 686-716.
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Michael Holst, Ryan Szypowski & Yunrong Zhu. (2013) Two‐grid methods for semilinear interface problems. Numerical Methods for Partial Differential Equations 29:5, pages 1729-1748.
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Anna L. Mazzucato, Victor Nistor & Qingqin Qu. (2013) A Nonconforming Generalized Finite Element Method for Transmission Problems. SIAM Journal on Numerical Analysis 51:1, pages 555-576.
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Bhupen Deka & Rajen Kumar Sinha. (2012) Finite element methods for second order linear hyperbolic interface problems. Applied Mathematics and Computation 218:22, pages 10922-10933.
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Bhupen Deka. (2010) Finite element methods with numerical quadrature for elliptic problems with smooth interfaces. Journal of Computational and Applied Mathematics 234:2, pages 605-612.
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Kejia Pan, Yongji Tan & Hongling Hu. (2010) An interpolation matched interface and boundary method for elliptic interface problems. Journal of Computational and Applied Mathematics 234:1, pages 73-94.
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Rajen K. Sinha & Bhupen Deka. (2009) Finite element methods for semilinear elliptic and parabolic interface problems. Applied Numerical Mathematics 59:8, pages 1870-1883.
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Boško S. Jovanović & Lubin G. Vulkov. (2009) Finite difference approximations for some interface problems with variable coefficients. Applied Numerical Mathematics 59:2, pages 349-372.
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