Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Sander Rhebergen"'
Publikováno v:
PLoS Computational Biology, Vol 16, Iss 5, p e1007926 (2020)
Tumour hypoxia is a well-studied phenomenon with implications in cancer progression, treatment resistance, and patient survival. While a clear adverse prognosticator, hypoxia is also a theoretically ideal target for guided drug delivery. This idea ha
Externí odkaz:
https://doaj.org/article/ffc4aa6d72c341e5818196188b32b466
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 57:1257-1296
We present a high-order hybridized discontinuous Galerkin (HDG) method for the fully coupled time-dependent Stokes-Darcy-transport problem where the fluid viscosity and source/sink terms depend on the concentration and the dispersion/diffusion tensor
Publikováno v:
Mathematics of Computation. 92:147-174
We prove that a space-time hybridized discontinuous Galerkin method for the evolutionary Navier–Stokes equations converges to a weak solution as the time step and mesh size tend to zero. Moreover, we show that this weak solution satisfies the energ
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 55:S475-S506
We present ana priorianda posteriorierror analysis of a conforming finite element method for a four-field formulation of the steady-state Biot’s consolidation model. For thea priorierror analysis we provide suitable hypotheses on the corresponding
Publikováno v:
SIAM Journal on Scientific Computing. 43:S612-S636
In this paper we present a geometric multigrid method with Jacobi and Vanka relaxation for hybridized and embedded discontinuous Galerkin discretizations of the Laplacian. We present a local Fourier analysis (LFA) of the two-grid error-propagation op
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 41:871-900
The solution of matrices with $2\times 2$ block structure arises in numerous areas of computational mathematics, such as PDE discretizations based on mixed-finite element methods, constrained optimization problems, or the implicit or steady state tre
Autor:
Sander Rhebergen, Aycil Cesmelioglu
We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite element method for the coupled incompressible Navier-Stokes and Darcy problem with Beavers-Joseph-Saffman interface condition. An a priori error analysis shows
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68e9d92b0bc6a24984dcbfc7ba74fa0f
We present analysis of two lowest-order hybridizable discontinuous Galerkin methods for the Stokes problem, while making only minimal regularity assumptions on the exact solution. The methods under consideration have previously been shown to produce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db1bb82eec99b95c05d1da81e3ecb141
http://arxiv.org/abs/2110.10611
http://arxiv.org/abs/2110.10611
Autor:
Sander Rhebergen, Keegan L. A. Kirk
Publikováno v:
Journal of Scientific Computing. 81:881-897
We present well-posedness and an a priori error analysis of the hybridized discontinuous Galerkin method for the stationary form of the Navier–Stokes problem proposed in Rhebergen and Wells (J Sci Comput 76(3):1484–1501, 2018. https://doi.org/10.
Autor:
Tamas L. Horvath, Sander Rhebergen
Publikováno v:
International Journal for Numerical Methods in Fluids. 89:519-532