Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Chernyshenko, Alexey Y."'
The paper develops an unfitted finite element method for solving the Darcy system of equations posed in a network of fractures embedded in a porous matrix. The approach builds on the Hughes--Masud stabilized formulation of the Darcy problem and the t
Externí odkaz:
http://arxiv.org/abs/1903.06351
Publikováno v:
Journal of Computational Physics, V. 352 (2018), 516-533
The paper develops a hybrid method for solving a system of advection--diffusion equations in a bulk domain coupled to advection--diffusion equations on an embedded surface. A monotone nonlinear finite volume method for equations posed in the bulk is
Externí odkaz:
http://arxiv.org/abs/1701.00130
Publikováno v:
In Journal of Computational and Applied Mathematics 1 March 2020 366
The paper develops a finite element method for partial differential equations posed on hypersurfaces in $\mathbb{R}^N$, $N=2,3$. The method uses traces of bulk finite element functions on a surface embedded in a volumetric domain. The bulk finite ele
Externí odkaz:
http://arxiv.org/abs/1408.3891
Publikováno v:
Rus. J. Num. Anal. Math. Model. V. 28 (2013) pp. 101-124
The paper studies a method for solving elliptic partial differential equations posed on hypersurfaces in $\mathbb{R}^N$, $N=2,3$. The method builds upon the formulation introduced in Bertalmio et al., J. Comput. Phys., 174 (2001), 759--780., where a
Externí odkaz:
http://arxiv.org/abs/1301.4707
Publikováno v:
In Journal of Computational Physics 1 January 2018 352:516-533
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 July 2015 291:146-172