Error Analysis Of The Reproducing Kernel Particle Method
Please note that Internet Explorer version 8.x will not be supported as of January 1, 2016. Please refer to this blog post for more information. Close ScienceDirectSign inSign in using your ScienceDirect credentialsUsernamePasswordRemember meForgotten username or password?Sign in via your institutionOpenAthens loginOther institution loginHelpJournalsBooksRegisterJournalsBooksRegisterSign inHelpcloseSign in using your ScienceDirect credentialsUsernamePasswordRemember meForgotten username or password?Sign in via your institutionOpenAthens loginOther institution login Purchase Help Direct export Export file RIS(for EndNote, Reference Manager, ProCite) BibTeX Text RefWorks Direct Export Content Citation Only Citation and Abstract Advanced search JavaScript is disabled on your browser. Please enable JavaScript to use all the features on this page. JavaScript is disabled on your browser. Please enable JavaScript to use all the features on this page. This page uses JavaScript to progressively load the article content as a user scrolls. Click the View full text link to bypass dynamically loaded article content. View full text Computer Methods in Applied Mechanics and EngineeringVolume 190, Issues 46–47, 14 September 2001, Pages 6157–6181 Error analysis of the reproducing kernel particle method ☆Weimin Han, , Xueping Meng Department of Mathematics, University of Iowa, Iowa City, IA 52242-1410, USAReceived 1 December 1999, Revised 8 June 2000, Available online 15 September 2001AbstractInterest in meshfree (or meshless) methods has grown rapidly in recent years in solving boundary value problems (BVPs) arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc. In this paper, we provide a theoretical analysis of the reproducing kernel particle method (RKPM), which belongs to the family of meshfree methods.
ChapterMeshfree Methods for Partial Differential Equations Volume 26 of the series Lecture Notes in Computational Science and Engineering pp 193-210Some Studies of the Reproducing Kernel Particle MethodWeimin HanAffiliated withDepartment of Mathematics, University of Iowa, Xueping MengAffiliated withDepartment of Mathematics, University of Iowa Buy this eBook * Final gross prices may vary according to local VAT. Get Access Abstract Interests in meshfree (or meshless) methods have http://www.sciencedirect.com/science/article/pii/S0045782501002146 grown rapidly in the recent years in solving boundary value problems arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc. Rigorous error estimates of a meshfree method, the reproducing kernel particle method (RKPM), have been theoretically derived and experimentally tested in [13,14]. In this paper, we http://link.springer.com/chapter/10.1007%2F978-3-642-56103-0_13 provide some further studies of the meshfree method. First, improved local meshfree interpolation error estimates are derived. Second, a new and efficient technique is proposed to implement Dirichlet boundary conditions. Numerical experiments indicate that optimal convergence orders are maintained for Dirichlet problems over higher dimensional domains. Finally, the meshfree method is applied to solve 4th-order equations. Since the smoothness of meshfree functions is the same as that of the window function, the meshfree method is a natural choice for conforming approximation of higher-order differential equations. The work of both authors was supported by NSF under Grant DMS-9874015. Page %P Close Plain text Look Inside Chapter Metrics Provided by Bookmetrix Reference tools Export citation EndNote (.ENW) JabRef (.BIB) Mendeley (.BIB) Papers (.RIS) Zotero (.RIS) BibTeX (.BIB) Add to Papers Other actions About this Book Reprints and Permissions Share Share this content on Facebook Share this content on Twitter Share this content on Linke
von GoogleAnmeldenAusgeblendete FelderBooksbooks.google.de - Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering https://books.google.com/books?id=5av2_E39EQkC&pg=PA209&lpg=PA209&dq=error+analysis+of+the+reproducing+kernel+particle+method&source=bl&ots=noAMoBiACd&sig=5frF9Vq7ed8vODwsL5CBXQGGbGk&hl=en&sa=X&ved=0ahUKEwjG7rjA_cfPAhVe but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models are often better suited to...https://books.google.de/books/about/Meshfree_Methods_for_Partial_Differentia.html?hl=de&id=5av2_E39EQkC&utm_source=gb-gplus-shareMeshfree Methods for Partial Differential EquationsMeine BücherHilfeErweiterte BuchsucheE-Book anzeigenNach Druckexemplar suchenSpringer ShopAmazon.deBuch.deBuchkatalog.deLibri.deWeltbild.de - €165,84In Bücherei suchenAlle Händler»Meshfree Methods for Partial Differential error analysis EquationsMichael Griebel, Marc A. SchweitzerSpringer Science & Business Media, 18.09.2002 - 471 Seiten 0 Rezensionenhttps://books.google.de/books/about/Meshfree_Methods_for_Partial_Differentia.html?hl=de&id=5av2_E39EQkCMeshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is error analysis of the fact that meshfree discretizations and particle models are often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of meshfree discretizations is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDEs from a Lagrangian point of view and the coupling of particle models and continuous models gained enormous interest in recent years from a theoretical as well as from a practial point of view. This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering. Voransicht des Buches » Was andere dazu sagen-Rezension schreibenEs wurden keine Rezensionen gefunden.Ausgewählte SeitenTitelseiteVerweiseInhaltA