[图书][B] Mathematical aspects of discontinuous Galerkin methods
DA Di Pietro, A Ern - 2011 - books.google.com
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …
same time, incorporates several recent mathematical developments. The presentation is to a …
A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
P Bastian - Computational Geosciences, 2014 - Springer
In this paper, we formulate and test numerically a fully-coupled discontinuous Galerkin (DG)
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …
Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures
A Ern, I Mozolevski, L Schuh - Computer methods in applied mechanics …, 2010 - Elsevier
We design and investigate a sequential discontinuous Galerkin method to approximate two-
phase immiscible incompressible flows in heterogeneous porous media with discontinuous …
phase immiscible incompressible flows in heterogeneous porous media with discontinuous …
Enriched Galerkin methods for two-phase flow in porous media with capillary pressure
S Lee, MF Wheeler - Journal of Computational Physics, 2018 - Elsevier
In this paper, we propose an enriched Galerkin (EG) approximation for a two-phase
pressure saturation system with capillary pressure in heterogeneous porous media. The EG …
pressure saturation system with capillary pressure in heterogeneous porous media. The EG …
A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows
M Vohralík, MF Wheeler - Computational Geosciences, 2013 - Springer
This paper develops a general abstract framework for a posteriori estimates for immiscible
incompressible two-phase flows in porous media. We measure the error by the dual norm of …
incompressible two-phase flows in porous media. We measure the error by the dual norm of …
Bound-preserving discontinuous Galerkin method for compressible miscible displacement in porous media
H Guo, Y Yang - SIAM Journal on Scientific Computing, 2017 - SIAM
In this paper, we develop bound-preserving discontinuous Galerkin (DG) methods for the
coupled system of compressible miscible displacement problems. We consider the problem …
coupled system of compressible miscible displacement problems. We consider the problem …
A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure
We consider the slightly compressible two-phase flow problem in a porous medium with
capillary pressure. The problem is solved using the implicit pressure, explicit saturation …
capillary pressure. The problem is solved using the implicit pressure, explicit saturation …
High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes
In this paper, we develop high-order bound-preserving (BP) discontinuous Galerkin (DG)
methods for the coupled system of compressible miscible displacements on triangular …
methods for the coupled system of compressible miscible displacements on triangular …
High order discontinuous Galerkin method for simulating miscible flooding in porous media
We present a high-order method for miscible displacement simulation in porous media. The
method is based on discontinuous Galerkin discretization with weighted average …
method is based on discontinuous Galerkin discretization with weighted average …
Numerical simulation of two-phase flows in 2-D petroleum reservoirs using a very high-order CPR method coupled to the MPFA-D finite volume scheme
G Galindez-Ramirez, FRL Contreras… - Journal of petroleum …, 2020 - Elsevier
The focus of the present work is to model the two-phase flow of oil and water in 2-D
anisotropic petroleum reservoirs using a novel appropriate combination of a non-orthodox …
anisotropic petroleum reservoirs using a novel appropriate combination of a non-orthodox …