Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Marussig, Benjamin"'
Combining sum factorization, weighted quadrature, and row-based assembly enables efficient higher-order computations for tensor product splines. We aim to transfer these concepts to immersed boundary methods, which perform simulations on a regular ba
Externí odkaz:
http://arxiv.org/abs/2308.15034
Solving exercise problems by yourself is a vital part of developing a mechanical understanding. Yet, most mechanics lectures have more than 200 participants, so the workload for manually creating and correcting assignments limits the number of exerci
Externí odkaz:
http://arxiv.org/abs/2308.12694
Autor:
Grendas, Andreas, Marussig, Benjamin
Multivariate B-splines and Non-uniform rational B-splines (NURBS) lack adaptivity due to their tensor product structure. Truncated hierarchical B-splines (THB-splines) provide a solution for this. THB-splines organize the parameter space into a hiera
Externí odkaz:
http://arxiv.org/abs/2308.09506
Autor:
Marussig, Benjamin
Standard finite element methods employ an element-wise assembly strategy. The element's contribution to the system matrix is formed by a loop over quadrature points. This concept is also used in fictitious domain methods, which perform simulations on
Externí odkaz:
http://arxiv.org/abs/2211.06427
Autor:
Marussig, Benjamin, Reif, Ulrich
Publikováno v:
Computer Aided Geometric Design, Volume 97, August 2022, 102134
We analyze surface patches with a corner that is rounded in the sense that the partial derivatives at that point are antiparallel. Sufficient conditions for $G^1$ smoothness are given, which, up to a certain degenerate case, are also necessary. Furth
Externí odkaz:
http://arxiv.org/abs/2203.12345
Autor:
Marussig, Benjamin
This work explores the application of the fast assembly and formation strategy from [8, 17] to trimmed bi-variate parameter spaces. Two concepts for the treatment of basis functions cut by the trimming curve are investigated: one employs a hybrid Gau
Externí odkaz:
http://arxiv.org/abs/2101.08053
Shell analysis is a well-established field, but achieving optimal higher-order convergence rates for such simulations is a difficult challenge. We present an isogeometric Kirchhoff-Love shell framework that treats every numerical aspect in a consiste
Externí odkaz:
http://arxiv.org/abs/2012.11975
We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this manner, we leve
Externí odkaz:
http://arxiv.org/abs/2011.01622
Autor:
Marussig, Benjamin
Publikováno v:
13th World Congress on Computational Mechanics (WCCM XIII) and 2nd Pan American Congress on Computational Mechanics (PANACM II), July 22-27, 2018, New York City, NY, USA
Trimming is a core technique in geometric modeling. Unfortunately, the resulting objects do not take the requirements of numerical simulations into account and yield various problems. This paper outlines principal issues of trimmed models and highlig
Externí odkaz:
http://arxiv.org/abs/1902.01192
We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splines that may lead to ill-conditioned system matrices. The construction
Externí odkaz:
http://arxiv.org/abs/1603.09660