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On Higher Order Pyramidal Finite Elements

Advances in Applied Mathematics and Mechanics 2011年第2期3卷 131-140页

作者： Liping Liu Kevin b.Davies Michal Krızek Li Guan Department of Mathematical Sciences Lakehead University955 Oliver RoadThunder BayOntarioP7B 5E1Canada Institute of Mathematics Academy of SciencesZitna 25CZ-11567 Prague 1Czech Republic College of Computer Science Dongguan University of TechnologyDongguan 523808GuangdongChina

In this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis *** we present a new symmetric composite pyramidal finite element which yields a better convergence than the nonsymmetric *** has fourteen degrees of freedom and its basis functions are incomplete piecewise triquadratic *** space of ansatz functions contains all quadratic functions on each of four subtetrahedra that form a given pyramidal element.

关键词： Pyramidal polynomial basis functions finite element method composite elements three-dimensional mortar elements.

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Numerical Integration over Pyramids

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Advances in Applied Mathematics and Mechanics 2013年第3期5卷 309-320页

作者： Chuanmiao Chen Michal Krızek Liping Liu Institute of Computer Science Hunan Normal UniversityChangsha 410081HunanChina Institute of Mathematics Academy of SciencesCZ-11567 PragueCzech Republic Department of Mathematical Sciences Lakehead UniversityThunder BayONP7B 5E1Canada Department of Applied Mathematics Anhui Agricultural UniversityHefei230036AnhuiChina

Pyramidal elements are often used to connect tetrahedral and hexahedral elements in the finite element *** this paper we derive three new higher order numerical cubature formulae for pyramidal elements.

关键词： Reference pyramidal element nonlinear systems of algebraic equations bramble-Hilbert lemma triangular tetrahedral and pyramidal numbers

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A Mathematical Model and Simulations of Low Temperature Nitriding Katarzyna Tkacz-Smiech *** dedicate this article to the memory of Professor Katarzyna Tkacz-Smiech

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Computer Modeling in Engineering & Sciences 2022年第2期130卷 777-803页

作者： bogusław bo˙zek Lucjan Sapa Katarzyna Tkacz-Smiech Marek Danielewski Janusz Rybak AGH University of Science and Technology Faculty of Applied MathematicsCracow30-059Poland AGH University of Science and Technology Faculty of Materials Science and CeramicsCracow30-059Poland

Low-temperature nitriding of steel or iron can produce an expanded austenite phase,which is a solid solution of a large amount of nitrogen dissolved interstitially in fcc *** is characteristic that the nitogen depth profiles in expanded austenite exhibit plateau-type *** behavior cannot be considered with a standard analytic solution for diffusion in a semi-infinite solid and a new approach is *** formulate a model of interdiffusion in viscoelastic solid(Maxwellmodel)during the nitriding *** combines themass conservation and Vegard’s rule with the Darken bi-velocity *** model is formulated in any dimension,i.e.,a mixture is included in R^(n),n=1,2,*** the system in one dimension,n=1,we transform a differential-algebraic system of 5 equations to a differential system of 2 equations only,which is better to study numerically and *** modification allows the formulation of effective mixed-type boundary *** resulting nonlinear strongly coupled parabolic-elliptic differential initial-boundary Stefan type problem is solved numerically and a series of simulations is made.

关键词： Nitriding expanded austenite Maxwell solid Darken method Vegard rule

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Leukemia:研究鉴定出与34种AML白血病亚群相关联的基因突变

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现代生物医学进展 2017年第15期17卷 I0002-I0003页

作者： A-K Eisfeld K Mrózek J Kohlschmidt D Nicolet S Orwick C J Walker K W Kroll J S blachly A J Carroll J E Kolitz b L Powell E S Wang R M Stone A de la Chapelle J C byrd C D bloomfield The Ohio State University Comprehensive Cancer Center Columbus OH USA Alliance Statistics and Data Center Mayo Clinic Rochester MN USA Division of Hematology Department of Internal Medicine The Ohio State University Comprehensive Cancer Center Columbus OH USA Department of Genetics University of Alabama at Birmingham Birmingham AL USA Monter Cancer Center Hofstra North Shore-Long Island Jewish School of Medicine Lake Success NY USA Comprehensive Cancer Center of Wake Forest University Winston-Salem NC USA Department of Medicine Roswell Park Cancer Institute Buffalo NY USA Department of Medical Oncology Dana-Farber/Partners CancerCare Boston MA USA

针对成年急性髓细胞白血病（acute myeloid leukemia，AML）患者的一项新的大型研究将80种癌症相关基因突变与5种AML亚型相关联。这5种AML亚型可通过特异性的染色体异常加以确定。在未来，这些发现可能有助指导基因突变测试和治疗决策。

关键词：基因突变 AML 白血病关联亚群鉴定染色体异常髓细胞

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