Application of the fully automatic 3D hp adaptive code to orthotropic heat transfer in structurally graded material properties

Paszyński, Maciej; Macioł, Piotr

doi:10.1016/j.jmatprotec.2006.03.223

Cited by 7 publications

(6 citation statements)

References 4 publications

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“…Finite element method (FEM) has long been an important tool for modeling a variety of processes including applications in mechanics [1], material science [2], [3], geology [4]- [6] and nano-engineering [7].…”

Section: Hp-adaptive Finite Element Methodsmentioning

confidence: 99%

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Employing Adaptive Finite Elements to Model Squeezing of a Layered Material in 3D

Sieniek¹,

Gurgul²,

Paszyński³

2013

IJMMM

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Abstract-In this paper we employ 3D hp-adaptive finite element method (hp-FEM) to model the behavior of a squeezed layered material. Under a moderate pressure, the linear elasticity model can be used to imitate the process. Thanks to hp-adaptivity, only the regions where the error rate is high are refined, making sure that all peculiarities are automatically localized.Index Terms-Finite element method, hp adaptivity, linear elasticity.

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Section: Hp-adaptive Finite Element Methodsmentioning

confidence: 99%

“…The basis functions are associated with nodes of a 3D finite element as shown in Fig. 2 on vertices we define the trilinear functions according to formulas (2) and as presented in Fig. 3 (order of approximation being equal to 1 in each vertex).…”

Section: A Finite Element and Its Shape Functionsmentioning

confidence: 99%

Employing Adaptive Finite Elements to Model Squeezing of a Layered Material in 3D

Sieniek¹,

Gurgul²,

Paszyński³

2013

IJMMM

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“…The hp finite element method ( hp ‐FEM) is the most sophisticated version of FEM 1, 2. The method allows to find very accurate approximate solution for a wide class of partial differential equations (PDEs), utilized to model many engineering application, including material science 3, 4, geo‐science and remote sensing 5–9, nano‐lithography 10, 11, or wave propagation problems 1, 2.…”

Section: Motivationmentioning

confidence: 99%

Monitoring serum chondroitin sulfate levels in patients submitted to coronary artery bypass surgery

Karangelis

Asimakopoulou

Kanakis

et al. 2010

Biomedical Chromatography

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Glycosaminoglycans (GAGs) are functionally important molecules of the arterial wall and play a crucial role in atherogenesis. Chondroitin sulfate/dermatan sulfate proteoglycans (CS/DSPGs) participate in several biological events through their GAG chains, and are also involved in the development of atherosclerosis. The aim of this study was to compare the pre- and post-operative levels of CS in serum of patients after coronary artery bypass graft surgery using a highly sensitive reversed-polarity capillary electrophoresis method and to investigate the correlation of CS with common biochemical lipid markers. It was found that CS values were significantly higher for all patients post-operatively and, furthermore, CS levels were statistically correlated to apolipoprotein A and B levels. Notably, the pre-operational lipid profile of the patient may be indicative of the values of 4-sulfated CS post-operationally. Furthermore, the obtained results highlight the clinical significance of CS levels in serum, since they may provide complementary information for the latent inflammatory state of the patient.

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“…The goal of hp FEM simulation is to compute volumetric shrinkage of the feature modeled by linear elasticity with thermal expansion coefficient. -The resistance heating of the Al-Si billet in steel die for tixoforming process [7]. The goal of hp FEM simulation is to compute heat distribution during the resistance heating process, modeled by the Poisson equation with Fourier boundary condition of the third type.…”

Section: Computational Problemsmentioning

confidence: 99%

Agents Based Hierarchical Parallelization of Complex Algorithms on the Example of hp Finite Element Method

Paszyński

2007

Computational Science – ICCS 2007

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Abstract. The paper presents how application of agents can improve scalability of domain decomposition (DD) based parallel codes, where the optimal load balance for some components of the code cannot be achieved only by partitioning computational domain. The limitation of the DD paradigm, where some highly overloaded pieces of domain cannot be partitioned into smaller sub-domains can be effectively overcome by parallelization of computational algorithm over these pieces. The agents are used to localize such highly loaded unbreakable parts of domain. Multiple agents are then assign to each highly loaded part to execute computational algorithm in parallel. The resulting hierarchical parallelization scheme results in the significant improvement of the scalability. The proposed agent based hierarchical parallelization scheme has been successfully tested on a very complex hp Finite Element Method (FEM) parallel code, applied for simulating Step-and-Flash-Imprint Lithography (SFIL), resistance heating of Al-Si billet in steel die for tixoforming process as well as for the Fichera model problem.

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Application of the fully automatic 3D hp adaptive code to orthotropic heat transfer in structurally graded material properties

Cited by 7 publications

References 4 publications

Employing Adaptive Finite Elements to Model Squeezing of a Layered Material in 3D

Employing Adaptive Finite Elements to Model Squeezing of a Layered Material in 3D

Monitoring serum chondroitin sulfate levels in patients submitted to coronary artery bypass surgery

Agents Based Hierarchical Parallelization of Complex Algorithms on the Example of hp Finite Element Method

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