Zobrazeno 1 - 10
of 828
pro vyhledávání: '"Boon, A. M."'
Autor:
Boon, Wietse M.
We propose an explicit construction of Poincar\'e operators for the lowest order finite element spaces, by employing spanning trees in the grid. In turn, a stable decomposition of the discrete spaces is derived that leads to an efficient numerical so
Externí odkaz:
http://arxiv.org/abs/2410.08830
We consider a mixed formulation of parametrized elasticity problems in terms of stress, displacement, and rotation. The latter two variables act as Lagrange multipliers to enforce conservation of linear and angular momentum. Due to the saddle-point s
Externí odkaz:
http://arxiv.org/abs/2410.06975
Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials
Cosserat theory of elasticity is a generalization of classical elasticity that allows for asymmetry in the stress tensor by taking into account micropolar rotations in the medium. The equations involve a rotation field and associated "couple stress"
Externí odkaz:
http://arxiv.org/abs/2409.13273
The equations governing incompressible Stokes flow are reformulated such that the velocity is sought in the space H(curl). This relaxed regularity assumption leads to conforming finite element methods using spaces common to discretizations of Maxwell
Externí odkaz:
http://arxiv.org/abs/2407.13353
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
We propose a new reduced order modeling strategy for tackling parametrized Partial Differential Equations (PDEs) with linear constraints, in particular Darcy flow systems in which the constraint is given by mass conservation. Our approach employs cla
Externí odkaz:
http://arxiv.org/abs/2311.14554
This work proposes a mixed finite element method for the Biot poroelasticity equations that employs the lowest-order Raviart-Thomas finite element space for the solid displacement and piecewise constants for the fluid pressure. The method is based on
Externí odkaz:
http://arxiv.org/abs/2212.12448
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:
Boon, Wietse M.
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis 54.6 (2020): 2045-2067
We consider a coupled model of free-flow and porous medium flow, governed by stationary Stokes and Darcy flow, respectively. The coupling between the two systems is enforced by introducing a single variable representing the normal flux across the int
Externí odkaz:
http://arxiv.org/abs/2209.13421
Autor:
Boon, Wietse M., Fumagalli, Alessio
We propose a mixed finite element method for Stokes flow with one degree of freedom per element and facet of simplicial grids. The method is derived by considering the vorticity-velocity-pressure formulation and eliminating the vorticity locally thro
Externí odkaz:
http://arxiv.org/abs/2208.13540