Finite and infinite elements for a simple problem in quantum mechanics

Bettess, P.; Abram, R. A.

doi:10.1002/cnm.488

Cited by 5 publications

(6 citation statements)

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“…(19) and (21), and one solution with q right-hand sides equal to the number of the random input variables, Eq. (20).…”

Section: Linear Elastic Structuresmentioning

confidence: 95%

“…, w, using Eq. (20). Note that this mode shape expansion technique can be used for reducing measurement noise even when complete measurements of mode shapes are available.…”

Section: Proposed Iterative Approachmentioning

confidence: 98%

“…The equations for the nonlinear case are structured as Eqs. (19), (20) and (21) appertaining to linear elasticity, the tangent operator KT replacing here the elastic stiffness matrix K.…”

Section: <■<*(£)-(£-£)• '-'••■••*mentioning

confidence: 99%

“…Also even though computationally expensive the uncoupling in a local and global problem permits the use if parallel processing methodologies with significant gains in terms if computational cost and time (see e.g. [16,20]). Lately it has been observed an even greater interest in this area of structural optimization with applications to design materials and structures for impact control, vibration and noise attenuation and interesting extensions to multidisciplinary engineering applications (see e.g.…”

Section: Final Commentsmentioning

confidence: 99%

“…Multi-quadratic (MQ) RBFs augmented with completed second order polynomial function is used for the function approximation. The shape parameters of MQ-RBFs with arbitrary real parameters are adopted, and the recommended parameters by Liu et al [20] are used: q = 1.03, a c =3.0. The coefficient for local refinement and global residual tolerant are predefined as K l = 0.1 and K g =0.2 for all the cases studied in this work.…”

Section: Numerical Examplementioning

confidence: 99%

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Computational Methods in Engineering & Science

Yao

Yuan

2007

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The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.Cover design: Frido Steinen-Broo, EStudio Calamar, Spain Printed on acid-free paper PREFACEThe 9th EPMESC was successfully held in Macao in November of 2003. At the end of the conference the Board of the EPMESC series decided that the next conference would be held in a city of the mainland of China. Also I was assigned to be the Chair person of the Conference. No doubt this is a great honor to me and also a challenge because there are so many professional international conferences in computational mechanics happening frequently in the world. After the successful organizing of WCCM6 in Beijing, September of 2004,1 engaged to organize the 10th EPMESC. First of all, I had to choose the venue of the Conference. After some investigation and a lot of negotiation we went to see the site of the venue in Sanya, Hainan Island, the south-most city in China. Finally we made the decision. The most important reason for the choice was the ecological environment of this city. It is beneficial to our health after hard work. We scientists and engineers need a good relaxing place after working hard-a place to enjoy life with friends and family. Sanya is an ideal place and a real green city. Blue sky and white clouds, the peaceful sea and the long beach with white sand, shells and pearls, no pollution and no industry. Everything is so beautiful. After the first call for papers, the response was unexpectedly strong. We got more than 190 abstracts from 23 countries and regions. About half of the participants come from the mainland of China. The rest were from Macao of China, Japan, Portugal, Australia, USA, Germany, Russia, Poland, Singapore, Malaysia, Brazil, UK, Israel, Indonesia, France, Spain, India, Korea, Czech, Chile, Hong Kong, and Taiwan of China etc. We are glad to have so many friends from so many countries and regions getting together to exchange their research results and take part in social activities. We have the honor of inviting many famous experts in computational mechanics to give plenary and semi-plenary lectures in the conference. Serge Cescotto, Genki Yagawa, Zhenhan Yao are the plenary speakers. Win Kam Liu, Fred W. Williams, Roman Lackner, Ioannis Doltsinis, Helder Rodrigues, Nasser Khalili, Nori Miyazaki, Yao Zheng, Yeong-Bin Yang, Ka Veng Yuen, Gui Rong Liu, Chung-Bang Yun and Dajian Han are the semi-plenary speakers. All of them have achieved great success in their own fields of computational mechanics. I appreciate their outstanding contributions to the conference. This is the mark of the scientific level of this conference. One of the highlights, the student paper competition, is a traditional program that has been retained throughout the history of the EPMESC series. This will keep the young students following the latest advances in research in...

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“…(19) and (21), and one solution with q right-hand sides equal to the number of the random input variables, Eq. (20).…”

Section: Linear Elastic Structuresmentioning

confidence: 95%

“…, w, using Eq. (20). Note that this mode shape expansion technique can be used for reducing measurement noise even when complete measurements of mode shapes are available.…”

Section: Proposed Iterative Approachmentioning

confidence: 98%

“…The equations for the nonlinear case are structured as Eqs. (19), (20) and (21) appertaining to linear elasticity, the tangent operator KT replacing here the elastic stiffness matrix K.…”

Section: <■<*(£)-(£-£)• '-'••■••*mentioning

confidence: 99%

Section: Final Commentsmentioning

confidence: 99%

Section: Numerical Examplementioning

confidence: 99%

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