In this paper we develop a staggered discontinuous Galerkin method for the Stokes and
Darcy--Forchheimer problems coupled with the Beavers--Joseph--Saffman conditions. The …

In this paper, we present and analyze a staggered discontinuous Galerkin method for Darcy
flows in fractured porous media on fairly general meshes. A staggered discontinuous …

Convection diffusion equation is widely applied in many fields of science and technology.
Many practical engineering problems can be expressed by this equation in unsteady state …

In this paper we investigate staggered discontinuous Galerkin method for the Helmholtz
equation with large wave number on general polygonal meshes. The method is highly …

In this article, we introduce and analyze arbitrary‐order, locally conservative hybrid
discontinuous Galkerin methods for linearized Navier–Stokes equations. The unknowns of …

Residual-type error estimators in energy error for the mortar staggered discontinuous
Galerkin (DG) discretizations of second order elliptic equations were developed. The error …

In this paper, we review the lowest order staggered discontinuous Galerkin methods on
polygonal meshes in 2D. The proposed method offers many desirable features including …

Àííîòàöèÿ. Íàñòîÿùàÿ ðàáîòà ïîñâÿùåíà ïîñòðîåíèþ ïàðàëëåëüíîãî âû÷ èñëèòåëüíîãî àëãîðèòìà
äëÿ ðåøåíèÿ çàäà÷ êîíâåêòèâíîãî òåïëîîáìåíà ñ èñïîëüçîâàíèåì ìåòîäà Ãàëåðêèíà ñ …

Two residual-type error estimators for the mortar staggered discontinuous Galerkin
discretizations of second order elliptic equations are developed. Both error estimators are …

Results. The article presents a numerical algorithm and the results of modeling the dynamics
of the temperature fields in an oil reservoir with a hydraulic fracture and a vertical injection …