Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two‐phase flow in porous media with dynamic capillarity effects
Sign Up to like & getrecommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5526
Abstract: ShellNWO/FOM CSER (project 14CSER016); NWO Visitors Grant 040.11.499; ResearchFoundation - Flanders FWO, Odysseus project G0G1316N; Statoil Akademia grant read more here.
Keywords: analysis linearization; linearization scheme; discontinuous galerkin; interior penalty ... See more keywords
A $$C^0$$C0 interior penalty method for a von Kármán plate
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DOI: 10.1007/s00211-016-0817-y
Abstract: We investigate a quadratic $$C^0$$C0 interior penalty method for the approximation of isolated solutions of a von Kármán plate. We prove that the discrete problem is uniquely solvable near an isolated solution and establish optimal… read more here.
Keywords: penalty method; interior penalty; von plate;
Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: Vertex-cell interpolation
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.09.003
Abstract: Abstract A continuous interior penalty method with piecewise polynomials of degree p ≥ 2 is applied on a Shishkin mesh to solve a singularly perturbed convection–diffusion problem, whose solution has a single boundary layer. This… read more here.
Keywords: singularly perturbed; penalty method; vertex cell; method ... See more keywords
A Lax–Wendroff-IMPES scheme for a two-phase flow in porous media using interior penalty discontinuous Galerkin method
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DOI: 10.1080/10407790.2019.1627825
Abstract: Abstract An immiscible two-phase flow numerical model in the porous media is developed using the interior penalty Discontinuous Galerkin (DG) finite element method. As a novel approach, the implicit pressure explicit saturation (IMPES) in conjunction… read more here.
Keywords: two phase; phase flow; interior penalty; penalty discontinuous ... See more keywords
Interior Penalty DGTD Method for Solving Wave Equation in Dispersive Media Described With GDM Model
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DOI: 10.1109/tap.2021.3064222
Abstract: In this communication, a paralleled interior penalty discontinuous Galerkin time-domain method based on the vector wave equation (IPDG-WE) combining with a generalized dispersive material (GDM) model is introduced. In addition, the auxiliary differential equation (ADE)… read more here.
Keywords: method; wave equation; dgtd method; equation ... See more keywords