A locally conservative reduced flux reconstruction for elliptic problems

PAMM ◽

10.1002/pamm.201900026 ◽

2019 ◽

Vol 19 (1) ◽

Author(s):

Stephan Rave ◽

Felix Schindler

Keyword(s):

Elliptic Problems ◽

Flux Reconstruction ◽

Locally Conservative

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On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902406302 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1226-1260 ◽

Author(s):

Michael Plexousakis ◽

Georgios E. Zouraris

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

One Dimensional ◽

Locally Conservative

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A posteriori error estimators for locally conservative methods of nonlinear elliptic problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.09.010 ◽

2007 ◽

Vol 57 (9) ◽

pp. 1065-1080 ◽

Author(s):

Kwang Y. Kim

Keyword(s):

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

Nonlinear Elliptic Problems ◽

A Posteriori Error ◽

Error Estimators ◽

Nonlinear Elliptic ◽

Posteriori Error Estimators ◽

Locally Conservative

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Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902406636 ◽

2004 ◽

Vol 42 (2) ◽

pp. 576-598 ◽

Author(s):

Todd Arbogast

Keyword(s):

Elliptic Problems ◽

Locally Conservative

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Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.09.025 ◽

2015 ◽

Vol 288 ◽

pp. 127-145 ◽

Author(s):

Igor Mozolevski ◽

Serge Prudhomme

Keyword(s):

Finite Element ◽

Error Estimation ◽

Elliptic Problems ◽

Flux Reconstruction ◽

Finite Element Approximations

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An accurate flux reconstruction for discontinuous Galerkin approximations of elliptic problems

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.10.036 ◽

2007 ◽

Vol 345 (12) ◽

pp. 709-712 ◽

Author(s):

Alexandre Ern ◽

Serge Nicaise ◽

Martin Vohralík

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Flux Reconstruction ◽

Galerkin Approximations

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The Asymptotics of Bounded Controls in Optimal Nonlinear Elliptic Problems

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v28.i5-6.40 ◽

1996 ◽

Vol 28 (5-6) ◽

pp. 23-35

Author(s):

Vladimir E. Kapustyan ◽

Irina V. Shapoval

Keyword(s):

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Bounded Controls

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Correction: Stability of Energy Stable Flux Reconstruction for the Diffusion Problem using Compact Numerical Fluxes on Quadrilateral Elements

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-1048.c1 ◽

2020 ◽

Author(s):

Samuel Quaegebeur ◽

Alexander Cicchino ◽

Sivakumaran Nadarajah

Keyword(s):

Diffusion Problem ◽

Flux Reconstruction ◽

Quadrilateral Elements ◽

Numerical Fluxes ◽

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A Flux Reconstruction Model Based on an Artificial Neural Network

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-0243 ◽

2021 ◽

Author(s):

Seongmun Jung ◽

Oh Joon Kwon

Keyword(s):

Neural Network ◽

Artificial Neural Network ◽

Flux Reconstruction ◽

Model Based ◽

Artificial Neural ◽

Reconstruction Model

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NUMERICAL SIMULATION OF FLOWS IN CARBONATE RESERVOIRS USING A STOKES-BRINKMAN MODEL AND LOCALLY CONSERVATIVE METHODS

10.26678/abcm.cobem2019.cob2019-2199 ◽

2019 ◽

Author(s):

Sidclei Conceição ◽

Marcelo Seidel ◽

Paulo Roberto Maciel Lyra ◽

DARLAN KARLO ELISIÁRIO DE CARVALHO

Keyword(s):

Numerical Simulation ◽

Carbonate Reservoirs ◽

Brinkman Model ◽

Locally Conservative

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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