Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media
暂无分享,去创建一个
Mary F. Wheeler | Trond Kvamsdal | The University of Texas at Austin | M. Wheeler | T. Kvamsdal | L. H. Odsaeter | Mats G. Larson Norwegian University of Science | Technology | Umeaa University | Lars H. Odsaeter | Umeaa University
[1] Thomas J. R. Hughes,et al. The Continuous Galerkin Method Is Locally Conservative , 2000 .
[2] M. Wheeler,et al. Projections of velocity data for the compatibility with transport , 2006 .
[3] Graham F. Carey,et al. Approximate boundary-flux calculations☆ , 1985 .
[4] Mary F. Wheeler,et al. A Multipoint Flux Mixed Finite Element Method , 2006, SIAM J. Numer. Anal..
[5] C. Paniconi,et al. Mass-conservative reconstruction of Galerkin velocity fields for transport simulations , 2016 .
[6] C. Dawson,et al. A projection method for constructing a mass conservative velocity field , 1998 .
[7] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis , 2000 .
[8] Pierre Ladevèze,et al. Error Estimate Procedure in the Finite Element Method and Applications , 1983 .
[9] Mats G. Larson,et al. A conservative flux for the continuous Galerkin method based on discontinuous enrichment , 2004 .
[10] Matthew W. Farthing,et al. Finite element methods for variable density flow and solute transport , 2013, Computational Geosciences.
[11] M. Ainsworth,et al. A posteriori error estimators in the finite element method , 1991 .
[12] Mary F. Wheeler,et al. Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media , 2005, SIAM J. Numer. Anal..
[13] Stephen L. Lyons,et al. Global Scale-up on Reservoir Models with Piecewise Constant Permeability Field , 2008 .
[14] A. Ern,et al. A discontinuous Galerkin method with weighted averages for advection–diffusion equations with locally small and anisotropic diffusivity , 2008 .
[15] Raytcho D. Lazarov,et al. Superconvergence analysis of approximate boundary-flux calculations , 1992 .
[16] Erik Burman,et al. A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems , 2006, SIAM J. Numer. Anal..
[17] Mary Fanett. A PRIORI L2 ERROR ESTIMATES FOR GALERKIN APPROXIMATIONS TO PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS , 1973 .
[19] Graham F. Carey,et al. Derivative calculation from finite element solutions , 1982 .
[20] M. Shashkov,et al. CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES , 2006 .
[21] Mary F. Wheeler,et al. A Galerkin Procedure for Estimating the Flux for Two-Point Boundary Value Problems , 1974 .
[22] Srikanta Mishra,et al. Tracer- and Pressure-Test Analysis for Characterization of Areally Heterogeneous Reservoirs , 1991 .
[23] W. Bangerth,et al. deal.II—A general-purpose object-oriented finite element library , 2007, TOMS.
[24] Quanling Deng,et al. Construction of locally conservative fluxes for high order continuous Galerkin finite element methods , 2016, J. Comput. Appl. Math..
[25] Trond Kvamsdal,et al. Adaptive isogeometric finite element analysis of steady‐state groundwater flow , 2016 .
[26] M. Putti,et al. Post processing of solution and flux for the nodal mimetic finite difference method , 2015 .
[27] Young-Ju Lee,et al. A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems , 2016, SIAM J. Sci. Comput..
[28] B. Rivière,et al. Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I , 1999 .
[29] Shuyu Sun,et al. A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method , 2009, SIAM J. Sci. Comput..
[30] Trond Kvamsdal,et al. Goal oriented error estimators for Stokes equations based on variationally consistent postprocessing , 2003 .
[31] Tamara G. Kolda,et al. An overview of the Trilinos project , 2005, TOMS.
[32] Mary F. Wheeler,et al. Compatible algorithms for coupled flow and transport , 2004 .
[33] Mary F. Wheeler,et al. Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations , 1987 .
[34] M. Wheeler. An Elliptic Collocation-Finite Element Method with Interior Penalties , 1978 .
[35] I. Aavatsmark,et al. An Introduction to Multipoint Flux Approximations for Quadrilateral Grids , 2002 .
[36] Raytcho D. Lazarov,et al. A finite volume element method for a non-linear elliptic problem , 2005, Numer. Linear Algebra Appl..
[37] Haiying Wang,et al. Locally Conservative Fluxes for the Continuous Galerkin Method , 2007, SIAM J. Numer. Anal..
[38] Victor Ginting,et al. On the Application of the Continuous Galerkin Finite Element Method for Conservation Problems , 2013, SIAM J. Sci. Comput..
[39] Mary F. Wheeler,et al. A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems , 1974 .
[40] Todd F. Dupont,et al. A Unified Theory of Superconvergence for Galerkin Methods for Two-Point Boundary Problems , 1976 .
[41] M. Wheeler. Part I. Improved Energy Estimates for Interior Penalty, Constrained and Discontinuous Galerkin Methods for Elliptic Problems , 1999 .
[42] Matthew W. Farthing,et al. Locally conservative, stabilized finite element methods for variably saturated flow , 2008 .
[43] Daniela Capatina,et al. Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes , 2016, SIAM J. Numer. Anal..
[44] Michael Andrew Christie,et al. Tenth SPE Comparative Solution Project: a comparison of upscaling techniques , 2001 .
[45] M. Wheeler. A Priori L_2 Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations , 1973 .