Zobrazeno 1 - 10
of 251
pro vyhledávání: '"Yotov, Ivan"'
We develop $H$(div)-conforming mixed finite element methods for the unsteady Stokes equations modeling single-phase incompressible fluid flow. A projection method in the framework of the incremental pressure correction methodology is applied, where a
Externí odkaz:
http://arxiv.org/abs/2410.14266
We introduce and analyse a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a poroelastic medium. The flows in the free fluid and poroelastic regions are governed by the Navier-Stokes and Biot equati
Externí odkaz:
http://arxiv.org/abs/2410.06322
We develop and analyze a splitting method for fluid-poroelastic structure interaction. The fluid is described using the Stokes equations and the poroelastic structure is described using the Biot equations. The transmission conditions on the interface
Externí odkaz:
http://arxiv.org/abs/2409.18910
Autor:
Caucao, Sergio, Yotov, Ivan
In this paper, we propose and analyze a mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations for unsteady viscoelastic flows in porous media. Besides the velocity and pressure, our approach introduces the vorticity as a further unkno
Externí odkaz:
http://arxiv.org/abs/2406.16703
In this work, we develop algebraic solvers for linear systems arising from the discretization of second-order elliptic problems by saddle-point mixed finite element methods of arbitrary polynomial degree $p \ge 0$. We present a multigrid and a two-le
Externí odkaz:
http://arxiv.org/abs/2406.09872
A discretization method with non-matching grids is proposed for the coupled Stokes-Darcy problem that uses a mortar variable at the interface to couple the marker and cell (MAC) method in the Stokes domain with the Raviart-Thomas mixed finite element
Externí odkaz:
http://arxiv.org/abs/2402.10615
The flux-mortar mixed finite element method was recently developed for a general class of domain decomposition saddle point problems on non-matching grids. In this work we develop the method for Darcy flow using the multipoint flux approximation as t
Externí odkaz:
http://arxiv.org/abs/2211.16897
Autor:
Jayadharan, Manu, Yotov, Ivan
We develop a mixed finite element domain decomposition method on non-matching grids for the Biot system of poroelasticity. A displacement-pressure vector mortar function is introduced on the interfaces and utilized as a Lagrange multiplier to impose
Externí odkaz:
http://arxiv.org/abs/2211.02949
We introduce and analyze a partially augmented fully-mixed formulation and a mixed finite element method for the coupled problem arising in the interaction between a free fluid and a poroelastic medium. The flows in the free fluid and poroelastic reg
Externí odkaz:
http://arxiv.org/abs/2209.02894
We develop a space-time mortar mixed finite element method for parabolic problems. The domain is decomposed into a union of subdomains discretized with non-matching spatial grids and asynchronous time steps. The method is based on a space-time variat
Externí odkaz:
http://arxiv.org/abs/2110.02132