Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Cesmelioglu, Aycil"'
In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interface conditions. We determine a bound on the data that guarantees stabi
Externí odkaz:
http://arxiv.org/abs/2308.15621
We introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the dual-porosity-Stokes problem. This coupled problem describes the interaction between free flow in macrofractures/conduits, governed by the Stokes equations, and flow
Externí odkaz:
http://arxiv.org/abs/2308.14933
Autor:
Cesmelioglu, Aycil, Rhebergen, Sander
We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite element method for the coupled incompressible Navier-Stokes and Darcy problem with Beavers-Joseph-Saffman interface condition. An a priori error analysis shows
Externí odkaz:
http://arxiv.org/abs/2210.06937
We present and analyze a hybridizable discontinuous Galerkin (HDG) finite element method for the coupled Stokes--Biot problem. Of particular interest is that the discrete velocities and displacement are $H(\text{div})$-conforming and satisfy the comp
Externí odkaz:
http://arxiv.org/abs/2207.12568
We present an embedded-hybridizable discontinuous Galerkin finite element method for the total pressure formulation of the quasi-static poroelasticity model. Although the displacement and the Darcy velocity are approximated by discontinuous piece-wis
Externí odkaz:
http://arxiv.org/abs/2207.12557
We present a high-order hybridized discontinuous Galerkin (HDG) method for the fully coupled time-dependent Stokes-Darcy-transport problem where the fluid viscosity and source/sink terms depend on the concentration and the dispersion/diffusion tensor
Externí odkaz:
http://arxiv.org/abs/2205.04551
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Jul/Aug2024, Vol. 58 Issue 4, p1461-1495. 35p.
We prove that a space-time hybridized discontinuous Galerkin method for the evolutionary Navier--Stokes equations converges to a weak solution as the time step and mesh size tend to zero. Moreover, we show that this weak solution satisfies the energy
Externí odkaz:
http://arxiv.org/abs/2110.11920
Publikováno v:
In Computers and Mathematics with Applications 1 July 2024 165:180-195
This work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work is two-fold. First, the population is divided according to its complia
Externí odkaz:
http://arxiv.org/abs/2008.03248