Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Luca Heltai"'
Publikováno v:
SoftwareX, Vol 7, Iss , Pp 318-327 (2018)
We propose a software design for the efficient and flexible handling of the building blocks used in high performance finite element simulations, through the pervasive use of parameters (parsed through parameter files). In the proposed design, all the
Externí odkaz:
https://doaj.org/article/1f5facbf2d5d4a1d969577191bc31e22
Publikováno v:
Journal of Computational Physics. 488:112189
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebab17dda83e6899eaa8b03f47f2419c
https://doi.org/10.1016/j.jcp.2023.112189
https://doi.org/10.1016/j.jcp.2023.112189
Publikováno v:
Computational methods in applied mathematics, 2021, Vol.21(2), pp.385-405 [Peer Reviewed Journal]
We present a perturbed subspace iteration algorithm to approximate the lowermost eigenvalue cluster of an elliptic eigenvalue problem. As a prototype, we consider the Laplace eigenvalue problem posed in a polygonal domain. The algorithm is motivated
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e6c533e38d3800d0b026a42e15e8227
https://doi.org/10.1515/cmam-2020-0027
https://doi.org/10.1515/cmam-2020-0027
Autor:
Daniel Arndt, Wolfgang Bangerth, Marco Feder, Marc Fehling, Rene Gassmöller, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Simon Sticko, Bruno Turcksin, David Wells
This paper provides an overview of the new features of the finite element library deal.II, version 9.4.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ab88205b13f58635450b611985d2d4c
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/98351
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/98351
Autor:
Luca Heltai, Nella Rotundo
Publikováno v:
Computers & Mathematics with Applications. 78:3586-3604
When solving elliptic partial differential equations in a region containing immersed interfaces (possibly evolving in time), it is often desirable to approximate the problem using an independent background discretisation, not aligned with the interfa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::993b1dbc35df5b9b7160c96018e59426
https://doi.org/10.1016/j.camwa.2019.05.029
https://doi.org/10.1016/j.camwa.2019.05.029
Autor:
Luca Heltai, Wenyu Lei
We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollification). We show that the energy error decay is quasi-optimal in two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4198096cda438ace63b994b0b75bd011
http://arxiv.org/abs/2110.15029
http://arxiv.org/abs/2110.15029
Publikováno v:
SIAM journal on scientific computing, 2021, Vol.43(3), pp.A2211-A2241 [Peer Reviewed Journal]
We propose a new algorithm for Adaptive Finite Element Methods (AFEMs) based on smoothing iterations (S-AFEM), for linear, second-order, elliptic partial differential equations (PDEs). The algorithm is inspired by the ascending phase of the V-cycle m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08fea8c69854ff81c16c0eda963d6404
http://dro.dur.ac.uk/32765/1/32765.pdf
http://dro.dur.ac.uk/32765/1/32765.pdf
Autor:
Dirk Peschka, Luca Heltai
We present a mathematical and numerical framework for thin-film fluid flows over planar surfaces including dynamic contact angles. In particular, we provide algorithmic details and an implementation of higher-order spatial and temporal discretisation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a932750d4c67f44037d8cd926fdbc38
Publikováno v:
Annals of Biomedical Engineering
We present a computational multiscale model for the efficient simulation of vascularized tissues, composed of an elastic three-dimensional matrix and a vascular network. The effect of blood vessel pressure on the elastic tissue is surrogated via hype
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d996bfd9d279ae7eedbee87336530db2
We present a framework to systematically derive variational formulations for fluid-structure interaction problems based on thermodynamical driving functionals and geometric structures in different coordinate systems by suitable transformations within
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50278593fc6522cf73d74168aebee49f