Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Sascha Eisenträger"'
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 7, Iss 1, Pp 1-42 (2020)
Abstract In the present work, we propose a new approach, the so-called compressed adaptive integration scheme (C-AIS), for the computation of the stiffness and mass matrices in fictitious domain methods requiring the integration of discontinuous func
Externí odkaz:
https://doaj.org/article/c6bdd41a507945f39c14f0f92306c8ca
Autor:
Elyas Mirzaee Kakhki, Jalil Rezaeepazhand, Fabian Duvigneau, Lotfollah Pahlavan, Resam Makvandi, Daniel Juhre, Majid Moavenian, Sascha Eisenträger
Publikováno v:
Mathematical and Computational Applications, Vol 27, Iss 4, p 63 (2022)
In this research, high-order shape functions commonly used in different finite element implementations are investigated with a special focus on their applicability in the semi-analytical finite element (SAFE) method being applied to wave propagation
Externí odkaz:
https://doaj.org/article/64562f9831724861843ea20c7b2edd49
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 7, Iss 1, Pp 1-1 (2020)
An amendment to this paper has been published and can be accessed via the original article.
Externí odkaz:
https://doaj.org/article/dfc95015a4cd429ca0366c5254ea6144
Publikováno v:
Computational Mechanics.
The Finite Cell Method (FCM) allows for an efficient and accurate simulation of complex geometries by utilizing an unfitted discretization based on rectangular elements equipped with higher-order shape functions. Since the mesh is not aligned to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b72cce8889d594adae9f16f580c2efaa
https://doi.org/10.1007/s00466-023-02305-y
https://doi.org/10.1007/s00466-023-02305-y
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa8472d11ed0883241f7df0efae94726
https://doi.org/10.1002/zamm.202200422
https://doi.org/10.1002/zamm.202200422
Autor:
Márton Petö, Wadhah Garhuom, Fabian Duvigneau, Sascha Eisenträger, Alexander Düster, Daniel Juhre
Publikováno v:
Computer Methods in Applied Mechanics and Engineering 410: 115565 (2022-11-01)
Fictitious domain methods, such as the Finite Cell Method (FCM), allow for an efficient and accurate simulation of complex geometries by utilizing higher-order shape functions and an unfitted discretization based on rectangular elements. Since the me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5f916887abb6ced3d2e606b73b5b5cb
https://hdl.handle.net/11420/13882
https://hdl.handle.net/11420/13882
Publikováno v:
Computational Mechanics. 68:599-618
We use the algebraic orthogonality of rotation-free and divergence-free fields in the Fourier space to derive the solution of a class of linear homogenization problems as the solution of a large linear system. The effective constitutive tensor consti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fb9a3ed9ff37aee15873642cc925ece
https://doi.org/10.1007/s00466-021-01975-w
https://doi.org/10.1007/s00466-021-01975-w
Publikováno v:
Computers & Mathematics with Applications. 80:2289-2339
In this article, the condition number of the stiffness matrix κ ( K ) is compared for three high order finite element methods (FEMs), i.e., the p-version of the FEM, the spectral element method (SEM), and the NURBS-based isogeometric analysis (IGA).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd2a2d09596aff7b923446087535e7dd
https://doi.org/10.1016/j.camwa.2020.05.012
https://doi.org/10.1016/j.camwa.2020.05.012
Publikováno v:
Archive of Applied Mechanics. 91:753-775
Polygonal finite elements offer an increased freedom in terms of mesh generation at the price of more complex, often rational, shape functions. Thus, the numerical integration of rational interpolants over polygonal domains is one of the challenges t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::695ad657e813c5d89d35572baad68c74
https://doi.org/10.1007/s00419-020-01772-6
https://doi.org/10.1007/s00419-020-01772-6
Publikováno v:
Computational Mechanics. 66:911-930
The scaled boundary finite element method (SBFEM) has recently been employed as an efficient tool to model three-dimensional structures, in particular when the geometry is provided as a voxel-based image. To this end, an octree decomposition of the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44c27c55d2abe74d718538f7e2bc60be
https://doi.org/10.1007/s00466-020-01884-4
https://doi.org/10.1007/s00466-020-01884-4