Zobrazeno 1 - 10
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pro vyhledávání: '"Lozinski A"'
Autor:
Hauck, Moritz, Lozinski, Alexei
In this paper, we propose a multiscale method for heterogeneous Stokes problems. The method is based on the Localized Orthogonal Decomposition (LOD) methodology and has approximation properties independent of the regularity of the coefficients. We ap
Externí odkaz:
http://arxiv.org/abs/2410.14514
This paper presents a new finite difference method, called {\varphi}-FD, inspired by the {\phi}-FEM approach for solving elliptic partial differential equations (PDEs) on general geometries. The proposed method uses Cartesian grids, ensuring simplici
Externí odkaz:
http://arxiv.org/abs/2410.08042
We study the numerical approximation of advection-diffusion equations with highly oscillatory coefficients and possibly dominant advection terms by means of the Multiscale Finite Element Method. The latter method is a now classical, finite element ty
Externí odkaz:
http://arxiv.org/abs/2406.13437
This work is motivated by the need of efficient numerical simulations of gas flows in the serpentine channels used in proton-exchange membrane fuel cells. In particular, we consider the Poisson problem in a 2D domain composed of several long straight
Externí odkaz:
http://arxiv.org/abs/2312.07959
The aim of this article is to propose a new reduced-order modelling approach for parametric eigenvalue problems arising in electronic structure calculations. Namely, we develop nonlinear reduced basis techniques for the approximation of parametric ei
Externí odkaz:
http://arxiv.org/abs/2307.15423
We introduce and analyze a penalty-free formulation of the Shifted Boundary Method (SBM), inspired by the asymmetric version of the Nitsche method. We prove its stability and convergence for arbitrary order finite element interpolation spaces and we
Externí odkaz:
http://arxiv.org/abs/2306.12706
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 45, Pp 308-317 (2014)
In this work we develop a fictitious domain method for the Stokes problem which allows computations in domains whose boundaries do not depend on the mesh. The method is based on the ideas of Xfem and has been first introduced for the Poisson probl
Externí odkaz:
https://doaj.org/article/b10d225df65c4c83967e00aab08d28c7
Thanks to a finite element method, we solve numerically parabolic partial differential equations on complex domains by avoiding the mesh generation, using a regular background mesh, not fitting the domain and its real boundary exactly. Our technique
Externí odkaz:
http://arxiv.org/abs/2303.12013
Multiscale Finite Element Methods (MsFEMs) are now well-established finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent basis functions that generate a suitable discretization spac
Externí odkaz:
http://arxiv.org/abs/2211.17024
We present an immersed boundary method to simulate the creeping motion of a rigid particle in a fluid described by the Stokes equations discretized thanks to a finite element strategy on unfitted meshes, called Phi-FEM, that uses the description of t
Externí odkaz:
http://arxiv.org/abs/2211.07012