Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Sarkis, Marcus"'
Autor:
Yu, Yi, Sarkis, Marcus
Publikováno v:
In Journal of Computational and Applied Mathematics June 2024 443
We consider parametric families of partial differential equations--PDEs where the parameter $\kappa$ modifies only the (1,1) block of a saddle point matrix product of a discretization below. The main goal is to develop an algorithm that removes, as m
Externí odkaz:
http://arxiv.org/abs/2106.05419
In this paper, we design and analyze two new methods based on additive average Schwarz -- AAS method introduced in \cite{MR1943457}. The new methods design for elliptic problems with highly heterogeneous coefficients. The methods are of the non-overl
Externí odkaz:
http://arxiv.org/abs/2012.13610
In this paper we introduce a finite element method for the Stokes equations with a massless immersed membrane. This membrane applies normal and tangential forces affecting the velocity and pressure of the fluid. Additionally, the points representing
Externí odkaz:
http://arxiv.org/abs/1801.05794
We consider finite element methods of multiscale type to approximate solutions for two-dimensional symmetric elliptic partial differential equations with heterogeneous $L^\infty$ coefficients. The methods are of Galerkin type and follow the Variation
Externí odkaz:
http://arxiv.org/abs/1709.04044
We consider a finite element method for elliptic equation with heterogeneous and possibly high-contrast coefficients based on primal hybrid formulation. A space decomposition as in FETI and BDCC allows a sequential computations of the unknowns throug
Externí odkaz:
http://arxiv.org/abs/1706.08941
We derive error estimates for the piecewise linear finite element approximation of the Laplace--Beltrami operator on a bounded, orientable, $C^3$, surface without boundary on general shape regular meshes. As an application, we consider a problem wher
Externí odkaz:
http://arxiv.org/abs/1705.04369
A new high-order conservative finite element method for Darcy flow is presented. The key ingredient in the formulation is a volumetric, residual-based, based on Lagrange multipliers in order to impose conservation of mass that does not involve any me
Externí odkaz:
http://arxiv.org/abs/1701.08855
We prove an optimal error estimate for the flux variable for a stabilized unfitted Nitsche finite element method applied to an elliptic interface problem with discontinuous constant coefficients. Our result shows explicitly that this error estimate i
Externí odkaz:
http://arxiv.org/abs/1602.00603
We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove optimal error estimates in the $L^2$ norm and $H^1$ weighted semi-norm i
Externí odkaz:
http://arxiv.org/abs/1507.03873