Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

Mu, Lin

doi:10.1016/j.cam.2019.04.026

Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

Journal Article · Sat Nov 30 23:00:00 EST 2019 · Journal of Computational and Applied Mathematics

DOI:https://doi.org/10.1016/j.cam.2019.04.026· OSTI ID:2224131

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Sponsoring Organization:: USDOE

OSTI ID:: 2224131

Alternate ID(s):: OSTI ID: 1702749
OSTI ID: 1531206

Journal Information:: Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: C Vol. 361; ISSN 0377-0427

Publisher:: ElsevierCopyright Statement

Country of Publication:: Belgium

Language:: English

References (26)

Convergence analysis of the high-order mimetic finite difference method Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. Numerische Mathematik, Vol. 113, Issue 3 https://doi.org/10.1007/s00211-009-0234-6	journal	May 2009
A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems Lovadina, Carlo; Marini, L. Donatella Journal of Scientific Computing, Vol. 40, Issue 1-3 https://doi.org/10.1007/s10915-009-9286-0	journal	May 2009
A Posteriori Error Estimates of Discontinuous Galerkin Method for Nonmonotone Quasi-linear Elliptic Problems Bi, Chunjia; Ginting, Victor Journal of Scientific Computing, Vol. 55, Issue 3 https://doi.org/10.1007/s10915-012-9651-2	journal	October 2012
A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems Chen, Long; Wang, Junping; Ye, Xiu Journal of Scientific Computing, Vol. 59, Issue 2 https://doi.org/10.1007/s10915-013-9771-3	journal	August 2013
On recursive refinement of convex polygons Lai, Ming-Jun; Slavov, George Computer Aided Geometric Design, Vol. 45 https://doi.org/10.1016/j.cagd.2016.04.002	journal	July 2016
A weak Galerkin finite element method for second-order elliptic problems Wang, Junping; Ye, Xiu Journal of Computational and Applied Mathematics, Vol. 241 https://doi.org/10.1016/j.cam.2012.10.003	journal	March 2013
A hybrid high-order locking-free method for linear elasticity on general meshes Di Pietro, Daniele A.; Ern, Alexandre Computer Methods in Applied Mechanics and Engineering, Vol. 283 https://doi.org/10.1016/j.cma.2014.09.009	journal	January 2015
A Virtual Element Method for elastic and inelastic problems on polytope meshes Beirão da Veiga, L.; Lovadina, C.; Mora, D. Computer Methods in Applied Mechanics and Engineering, Vol. 295 https://doi.org/10.1016/j.cma.2015.07.013	journal	October 2015
A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows Vohralík, Martin; Yousef, Soleiman Computer Methods in Applied Mechanics and Engineering, Vol. 331 https://doi.org/10.1016/j.cma.2017.11.027	journal	April 2018
Hybrid high-order methods for variable-diffusion problems on general meshes Di Pietro, Daniele A.; Ern, Alexandre Comptes Rendus Mathematique, Vol. 353, Issue 1 https://doi.org/10.1016/j.crma.2014.10.013	journal	January 2015
A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media Di Pietro, Daniele A.; Flauraud, Eric; Vohralík, Martin Journal of Computational Physics, Vol. 276 https://doi.org/10.1016/j.jcp.2014.06.061	journal	November 2014
An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics Di Pietro, Daniele A.; Specogna, Ruben Journal of Computational Physics, Vol. 326 https://doi.org/10.1016/j.jcp.2016.08.041	journal	December 2016
A posteriori error estimates for discontinuous Galerkin methods of obstacle problems Wang, Fei; Han, Weimin; Eichholz, Joseph Nonlinear Analysis: Real World Applications, Vol. 22 https://doi.org/10.1016/j.nonrwa.2014.08.011	journal	April 2015
Mixed virtual element methods for general second order elliptic problems on polygonal meshes Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 50, Issue 3 https://doi.org/10.1051/m2an/2015067	journal	May 2016
The arbitrary order mixed mimetic finite difference method for the diffusion equation Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 50, Issue 3 https://doi.org/10.1051/m2an/2015088	journal	May 2016
On the poisson equation with intersecting interfaces Bruce kellogg, R. Applicable Analysis, Vol. 4, Issue 2 https://doi.org/10.1080/00036817408839086	journal	January 1974
A weak Galerkin mixed finite element method for second order elliptic problems Wang, Junping; Ye, Xiu Mathematics of Computation, Vol. 83, Issue 289 https://doi.org/10.1090/S0025-5718-2014-02852-4	journal	May 2014
A virtual element method with arbitrary regularity da Veiga, L. B.; Manzini, G. IMA Journal of Numerical Analysis, Vol. 34, Issue 2 https://doi.org/10.1093/imanum/drt018	journal	July 2013
Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes Di Pietro, Daniele A.; Ern, Alexandre IMA Journal of Numerical Analysis, Vol. 37, Issue 1 https://doi.org/10.1093/imanum/drw003	journal	May 2016
Mesh Refinement Processes Based on the Generalized Bisection of Simplices Rivara, Maria-Cecilia SIAM Journal on Numerical Analysis, Vol. 21, Issue 3 https://doi.org/10.1137/0721042	journal	June 1984
Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations Cai, Zhiqiang; Ye, Xiu; Zhang, Shun SIAM Journal on Numerical Analysis, Vol. 49, Issue 5 https://doi.org/10.1137/100805133	journal	January 2011
A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes Di Pietro, Daniele A.; Droniou, Jérôme; Ern, Alexandre SIAM Journal on Numerical Analysis, Vol. 53, Issue 5 https://doi.org/10.1137/140993971	journal	January 2015
Basic Principles of Virtual Element Methods BeirÃO Da Veiga, L.; Brezzi, F.; Cangiani, A. Mathematical Models and Methods in Applied Sciences, Vol. 23, Issue 01 https://doi.org/10.1142/S0218202512500492	journal	November 2012
Virtual Element Method for general second-order elliptic problems on polygonal meshes Beirão da Veiga, L.; Brezzi, F.; Marini, L. D. Mathematical Models and Methods in Applied Sciences, Vol. 26, Issue 04 https://doi.org/10.1142/S0218202516500160	journal	February 2016
Design and data structure of fully adaptive, multigrid, finite-element software Rivara, Maria-Cecilia ACM Transactions on Mathematical Software, Vol. 10, Issue 3 https://doi.org/10.1145/1271.1274	journal	August 1984
A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes Li, Hengguang Communications in Computational Physics, Vol. 26, Issue 2 https://doi.org/10.4208/cicp.OA-2018-0058	journal	June 2019

Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

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Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

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