Results 41 to 50 of about 11,474 (200)

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes [PDF]

Mathematical Models and Methods in Applied Sciences, 2014
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical solution of second-order elliptic partial differential equations on general computational meshes consisting of polygonal/polyhedral elements is presented and analyzed. Utilizing a bounding box concept, the method employs elemental polynomial bases of total degree p (
Cangiani A., Georgoulis E. H., Houston P.   +2 more
openaire   +5 more sources

A Virtual Element Method for elastic and inelastic problems on polytope meshes [PDF]

, 2015
We present a Virtual Element Method (VEM) for possibly nonlinear elastic and inelastic problems, mainly focusing on a small deformation regime. The numerical scheme is based on a low-order approximation of the displacement field, as well as a suitable ...
da Veiga, L. Beirão, Lovadina, C., Mora, D.   +2 more
core   +1 more source

A Review of Recent Advances in Discretization Methods, a Posteriori Error Analysis, and Adaptive Algorithms for Numerical Modeling in Geosciences

Oil & Gas Science and Technology, 2014
Two research subjects in geosciences which lately underwent significant progress are treated in this review. In the first part, we focus on one key ingredient for the numerical approximation of the Darcy flow problem, namely the discretization of ...
Di Pietro Daniele A., Vohralík Martin
doaj   +1 more source

Virtual Element Methods on Meshes with Small Edges or Faces

, 2017
We consider a model Poisson problem in $\R^d$ ($d=2,3$) and establish error estimates for virtual element methods on polygonal or polyhedral meshes that can contain small edges ($d=2$) or small faces ($d=3$).Comment: 36 ...
Brenner, Susanne C., Sung, Li-yeng
core   +1 more source

On the Virtual Element Method for Topology Optimization on polygonal meshes: a numerical study [PDF]

, 2016
It is well known that the solution of topology optimization problems may be affected both by the geometric properties of the computational mesh, which can steer the minimization process towards local (and non-physical) minima, and by the accuracy of the ...
Antonietti, Paola F., Bruggi, Matteo, Scacchi, Simone, Verani, Marco   +3 more
core   +2 more sources

Graphics Processing Unit-Accelerated Propeller Computational Fluid Dynamics Using AmgX: Performance Analysis Across Mesh Types and Hardware Configurations

Journal of Marine Science and Engineering
Computational fluid dynamics (CFD) has become increasingly prevalent in marine and offshore engineering, with enhancing simulation efficiency emerging as a critical challenge.
Yue Zhu, Jin Gan, Yongshui Lin, Weiguo Wu   +3 more
doaj   +1 more source

Computational Fluid Dynamics study of element type and turbulence model impact on a flow over a spacer grid using Simcenter STAR-CCM+

Brazilian Journal of Radiation Sciences
: This study presents a numerical investigation into the impact of various mesh element types on water flow results through a representative spacer grid, utilizing Computational Fluid Dynamics (CFD).
Tiago Augusto Santiago Vieira, Yasmim Martins Carvalho, Higor Fabiano Pereira de Castro, Keferson Almeida Carvalho, Rebeca Cabral Gonçalves, Pedro Henrique Araújo, Davi Cury, Vitor Vasconcelos Araújo Silva, Graiciany Paula Barros, Andre Augusto Campagnole dos Santos   +9 more
doaj   +1 more source

From Clinic to Computation: Multiscale Bioengineering Strategies for Durable Biological Aortic Valve Replacements

Advanced Functional Materials, EarlyView.
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco, Pierfrancesco Gaziano, Serena Anglese, Simone Morganti, Carlo de Vincentiis, Ferdinando Auricchio, Michele Marino, Michele Conti   +7 more
wiley   +1 more source

Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes [PDF]

, 2018
We introduce an $hp$-version symmetric interior penalty discontinuous Galerkin finite element method (DGFEM) for the numerical approximation of the biharmonic equation on general computational meshes consisting of polygonal/polyhedral (polytopic ...
Dong, Zhaonan
core   +2 more sources

A Nystr\"om-based finite element method on polygonal elements

, 2017
We consider families of finite elements on polygonal meshes, that are defined implicitly on each mesh cell as solutions of local Poisson problems with polynomial data.
Anand, Akash, Ovall, Jeffrey S., Weisser, Steffen   +2 more
core   +1 more source