Relevant bibliographies by topics / Radical point interpolation method

Academic literature on the topic 'Radical point interpolation method'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Radical point interpolation method"

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Shivanian, Elyas. "Pseudospectral Meshless Radial Point Hermit Interpolation Versus Pseudospectral Meshless Radial Point Interpolation." International Journal of Computational Methods 17, no. 07 (May 7, 2019): 1950023. http://dx.doi.org/10.1142/s0219876219500233.

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This paper develops pseudospectral meshless radial point Hermit interpolation (PSMRPHI) and pseudospectral meshless radial point interpolation (PSMRPI) in order to apply to the elliptic partial differential equations (PDEs) held on irregular domains subject to impedance (convective) boundary conditions. Elliptic PDEs in simplest form, i.e., Laplace equation or Poisson equation, play key role in almost all kinds of PDEs. On the other hand, impedance boundary conditions, from their application in electromagnetic problems, or convective boundary conditions, from their application in heat transfer problems, are nearly more complicated forms of the boundary conditions in boundary value problems (BVPs). Based on this problem, we aim also to compare PSMRPHI and PSMRPI which belong to more influence type of meshless methods. PSMRPI method is based on a combination of meshless methods and spectral collocation techniques. The point interpolation method with the help of radial basis functions is used to construct shape functions which act as basis functions in the frame of PSMRPI and PSMRPHI methods. While the latter one has been rarely used in applications, we observe that is more accurate and reliable than PSMRPI method.
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Zhang, G. Y., Y. Li, X. X. Gao, D. Hui, S. Q. Wang, and Z. Zong. "Smoothed Point Interpolation Method for Elastoplastic Analysis." International Journal of Computational Methods 12, no. 04 (August 2015): 1540013. http://dx.doi.org/10.1142/s0219876215400137.

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This work formulates the node-based smoothed radial point interpolation method (NS-RPIM), a typical model of smoothed point interpolation method, for the elastoplastic analysis of two-dimensional solids with gradient-dependent plasticity. The NS-RPIM uses radial point interpolation shape functions for field approximation and node-based gradient smoothing for strain field construction. The formulation is based on the parametric variational principle (PVP) in the form of complementarity with the gradient-dependent plasticity being represented by means of the linearization of the yield criterion and the flow rule. Numerical study results have demonstrated the accuracy and stability of the proposed approach for elastoplastic analysis.
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Ramalho, Luís D. C., Jorge Belinha, and Raul D. S. G. Campilho. "Fracture propagation using the radial point interpolation method." Fatigue & Fracture of Engineering Materials & Structures 43, no. 1 (July 15, 2019): 77–91. http://dx.doi.org/10.1111/ffe.13046.

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SOARES, DELFIM, ANNE SCHÖNEWALD, and OTTO VON ESTORFF. "AN EFFICIENT SMOOTHED POINT INTERPOLATION METHOD FOR DYNAMIC ANALYSES." International Journal of Computational Methods 10, no. 01 (February 2013): 1340007. http://dx.doi.org/10.1142/s0219876213400070.

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In this work, a new procedure to compute the mass matrix in the smoothed point interpolation method is discussed. Therefore, the smoothed subdomains are employed to evaluate the mass matrix, which have already been computed for the construction of the stiffness matrix, rendering a more efficient methodology. The procedure is discussed, taking into account the edge-based, cell-based, and node-based smoothed point interpolation methods, as well as different T-schemes for the construction of the support domain of the approximating shape function, which is here formulated based on the radial point interpolation method. Numerical results of different dynamic analyses are presented, illustrating the potentialities of the proposed methodology.
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Zhai, Wei Gang, Xing Hui Cai, Jiang Ren Lu, and Xin Li Sun. "A Local Radial Point Interpolation Method for Two-Dimensional Schrödinger Equation." Applied Mechanics and Materials 268-270 (December 2012): 1888–93. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.1888.

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A local radial point interpolation method is employed to the simulation of the time dependent Schrödinger equation with arbitrary potential function. Local weak form of the time dependent Schrödinger equation is obtained and radial point interpolation shape functions are applied in the space discretization. Computations are carried out for an example of time dependent Schrödinger equation having analytical solutions. Numerical results agreed with analytical solutions very well.
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Hamrani, Abderrachid, Idir Belaidi, Eric Monteiro, and Philippe Lorong. "On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method." Advances in Applied Mathematics and Mechanics 9, no. 1 (October 11, 2016): 43–72. http://dx.doi.org/10.4208/aamm.2015.m1115.

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AbstractIn order to overcome the possible singularity associated with the Point Interpolation Method (PIM), the Radial Point Interpolation Method (RPIM) was proposed by G. R. Liu. Radial basis functions (RBF) was used in RPIM as basis functions for interpolation. All these radial basis functions include shape parameters. The choice of these shape parameters has been and stays a problematic theme in RBF approximation and interpolation theory. The object of this study is to contribute to the analysis of how these shape parameters affect the accuracy of the radial PIM. The RPIM is studied based on the global Galerkin weak form performed using two integration technics: classical Gaussian integration and the strain smoothing integration scheme. The numerical performance of this method is tested on their behavior on curve fitting, and on three elastic mechanical problems with regular or irregular nodes distributions. A range of recommended shape parameters is obtained from the analysis of different error indexes and also the condition number of the matrix system. All resulting RPIM methods perform very well in term of numerical computation. The Smoothed Radial Point Interpolation Method (SRPIM) shows a higher accuracy, especially in a situation of distorted node scheme.
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Shivanian, Elyas. "Formulation of pseudospectral meshless radial point Hermit interpolation for the Motz problem and comparison to pseudospectral meshless radial point interpolation." Multidiscipline Modeling in Materials and Structures 16, no. 1 (August 26, 2019): 1–20. http://dx.doi.org/10.1108/mmms-04-2019-0084.

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Purpose The purpose of this paper is to develop pseudospectral meshless radial point Hermit interpolation (PSMRPHI) for applying to the Motz problem. Design/methodology/approach The author aims to propose a kind of PSMRPHI method. Findings Based on the Motz problem, the author aims also to compare PSMRPHI and PSMRPI which belong to more influence type of meshless methods. Originality/value Although the PSMRPHI method has been infrequently used in applications, the author proves it is more accurate and trustworthy than the PSMRPI method.
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LIU, G. R., and G. Y. ZHANG. "EDGE-BASED SMOOTHED POINT INTERPOLATION METHODS." International Journal of Computational Methods 05, no. 04 (December 2008): 621–46. http://dx.doi.org/10.1142/s0219876208001662.

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This paper formulates an edge-based smoothed point interpolation method (ES-PIM) for solid mechanics using three-node triangular meshes. In the ES-PIM, displacement fields are construed using the point interpolation method (polynomial PIM or radial PIM), and hence the shape functions possess the Kronecker delta property, facilitates the enforcement of Dirichlet boundary conditions. Strains are obtained through smoothing operation over each smoothing domain associated with edges of the triangular background cells. The generalized smoothed Galerkin weak form is then used to create the discretized system equations and the formation is weakened weak formulation. Four schemes of selecting nodes for interpolation using the PIM have been introduced in detail and ES-PIM models using these four schemes have been developed. Numerical studies have demonstrated that the ES-PIM possesses the following good properties: (1) the ES-PIM models have a close-to-exact stiffness, which is much softer than for the overly-stiff FEM model and much stiffer than for the overly-soft node-based smoothed point interpolation method (NS-PIM) model; (2) results of ES-PIMs are generally of superconvergence and "ultra-accurate"; (3) no additional degrees of freedom are introduced, the implementation of the method is straightforward, and the method can achieve much better efficiency than the FEM using the same set of triangular meshes.
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STADLER, DOMEN, DAMJAN ČELIČ, ANDREJ LIPEJ, and FRANC KOSEL. "MODIFIED CHOLESKY DECOMPOSITION FOR SOLVING THE MOMENT MATRIX IN THE RADIAL POINT INTERPOLATION METHOD." International Journal of Computational Methods 11, no. 06 (December 2014): 1350088. http://dx.doi.org/10.1142/s0219876213500886.

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The radial point interpolation method is frequently employed in numerical computations. It can be used to interpolate scattered data, as shape functions in meshless methods and mesh deformation scheme, etc. The main problem in calculating the radial point interpolation is solving the moment matrix of the interpolation scheme, which is usually done with LU decomposition. A new decomposition technique based on the Cholesky decomposition is introduced in this paper. A comparison of the error, the consumed time and the results between the new decomposition technique and the LU method is presented for two different numerical methods.
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Zhou, Liming, Bin Nie, Chuanxin Ren, Shuhui Ren, and Guangwei Meng. "Dynamic analysis of magneto-electro-elastic nanostructures using node-based smoothed radial point interpolation method combined with micromechanics-based asymptotic homogenization technique." Journal of Intelligent Material Systems and Structures 31, no. 20 (August 10, 2020): 2342–61. http://dx.doi.org/10.1177/1045389x20935572.

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The node-based smoothed radial point interpolation method combined with the asymptotic homogenization method was proposed, as an addition to the finite element method, to address the static and dynamic reactions of magneto-electro-elastic coupling micromechanical problems. First, several basic equations for relevant problems were derived. Second, asymptotic homogenization method was utilized to determine the material properties of magneto-electro-elastic nanomaterials. Third, node-based smoothed radial point interpolation method was applied to obtain the discrete equations of magneto-electro-elastic nanostructures. Then, the Newmark method was introduced to solve the response of microcosmic problems. Finally, several numerical examples were calculated to prove the accuracy, convergence, and reliability of node-based smoothed radial point interpolation method by comparing the results of node-based smoothed radial point interpolation method with those of finite element method.
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Dissertations / Theses on the topic "Radical point interpolation method"

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Yildirim, Okan. "Radial Point Interpolation Method For Plane Elasticity Problems." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612537/index.pdf.

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Meshfree methods have become strong alternatives to conventional numerical methods used in solid mechanics after significant progress in recent years. Radial point interpolation method (RPIM) is a meshfree method based on Galerkin formulation and constructs shape functions which enable easy imposition of essential boundary conditions. This thesis analyses plane elasticity problems using RPIM. A computer code implementing RPIM for the solution of plane elasticity problems is developed. Selected problems are solved and the effect of shape parameters on the accuracy of RPIM with and without polynomial terms added in the interpolation is studied. The optimal shape parameters are determined for plane elasticity problems.
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Charlton, Timothy James. "An implicit Generalised Interpolation Material Point Method for large deformation and gradient elasto-plasticity." Thesis, Durham University, 2018. http://etheses.dur.ac.uk/12824/.

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The ability to correctly capture large deformation behaviour in solids is important in many problems in geotechnical engineering such as slope failure or installation of foundations. The Material Point Method (MPM) is a computational method with particular suitability for modelling problems involving large deformations. In the MPM, a domain is modelled using a set of material points at which state variables are stored and tracked. These material points move through a fixed background grid upon which calculations take place with variables being mapped between the material points and the grid. This thesis sets out to develop the MPM as a method with potential for use in geotechnical problems. Problems are encountered with the original MPM when material points cross between grid cells, and one solution to this is the Generalised Interpolation Material Point (GIMP) method, where material points are able to influence nodes beyond the currently occupied grid cell. Most development of the GIMP method has used an explicit approach, however there are a number of advantages of an implicit approach including larger load steps and improved error control. This thesis focuses on the development of a large deformation elasto-plastic implicit GIMP method. A way of calculating the deformation gradient consistent with the MPM is introduced and convergence is demonstrated using this method which has previously been frequently omitted from MPM research. An alternative way of updating material point domains using the stretch tensor is also proposed. The MPM has a number of similarities to the FEM, and it is often suggested that FEM technologies are trivial to use with the MPM. The MPM can encounter localisations caused by shear banding and, to overcome this, a gradient plasticity approach previously implemented for the FEM is investigated with the GIMP method for the first time. The addition of gradient plasticity to the GIMP method introduces a length scale parameter which governs the width of these shear bands and removes the mesh dependency which is encountered with conventional approaches. It is shown that implementation is possible however, there are a number of problems that are present in the combination of the two methods which should not be overlooked in the future.
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Kang, Jinghong. "The Computational Kleinman-Newton Method in Solving Nonlinear Nonquadratic Control Problems." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30435.

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This thesis deals with non-linear non-quadratic optimal control problems in an autonomous system and a related iterative numerical method, the Kleinman-Newton method, for solving the problem. The thesis proves the local convergence of Kleinman-Newton method using the contraction mapping theorem and then describes how this Kleinman-Newton method may be used to numerically solve for the optimal control and the corresponding solution. In order to show the proof and the related numerical work, it is necessary to review some of earlier work in the beginning of Chapter 1 [Zhang], and to introduce the Kleinman-Newton method at the end of the chapter. In Chapter 2 we will demonstrate the proof. In Chapter 3 we will show the related numerical work and results.
Ph. D.
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Leitão, Franklin Delano Cavalcanti. "Métodos sem malha: aplicações do Método de Galerkin sem elementos e do Método de Interpolação de Ponto em casos estruturais." Universidade do Estado do Rio de Janeiro, 2010. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=8611.

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Apesar de serem intensamente estudados em muitos países que caminham na vanguarda do conhecimento, os métodos sem malha ainda são pouco explorados pelas universidades brasileiras. De modo a gerar uma maior difusão ou, para a maioria, fazer sua introdução, esta dissertação objetiva efetuar o entendimento dos métodos sem malha baseando-se em aplicações atinentes à mecânica dos sólidos. Para tanto, são apresentados os conceitos primários dos métodos sem malha e o seu desenvolvimento histórico desde sua origem no método smooth particle hydrodynamic até o método da partição da unidade, sua forma mais abrangente. Dentro deste contexto, foi investigada detalhadamente a forma mais tradicional dos métodos sem malha: o método de Galerkin sem elementos, e também um método diferenciado: o método de interpolação de ponto. Assim, por meio de aplicações em análises de barras e chapas em estado plano de tensão, são apresentadas as características, virtudes e deficiências desses métodos em comparação aos métodos tradicionais, como o método dos elementos finitos. É realizado ainda um estudo em uma importante área de aplicação dos métodos sem malha, a mecânica da fratura, buscando compreender como é efetuada a representação computacional da trinca, com especialidade, por meio dos critérios de visibilidade e de difração. Utilizando-se esses critérios e os conceitos da mecânica da fratura, é calculado o fator de intensidade de tensão através do conceito da integral J.
Meshless are certainly very researched in many countries that are in state of art of scientific knowledge. However these methods are still unknown by many brazilian universities. To create more diffusion or, for many people, to introduce them, this work tries to understand the meshless based on solid mechanic applications. So basic concepts of meshless and its historic development are introduced since its origin, with smooth particle hydrodynamic until partition of unity, its more general form. In this context, most traditional form of meshless was investigated deeply: element free Galerkin method and also another different method: point interpolation method. This way characteristics, advantages and disadvantages, comparing to finite elements methods, are introduced by applications in analyses in bars and plates in state of plane stress. This work still researched an important area of meshless application, fracture mechanical, to understand how a crack is computationally represented, particularly, with visibility and diffraction criterions. By these criterions and using fracture mechanical concepts, stress intensity factor is calculated by J-integral concept.
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Sendrowski, Janek. "Feigenbaum Scaling." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635.

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In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. A more intricate approach drawing from renormalization theory as well as a short consideration of some of the topological properties will also be presented. I was furthermore trying to put great emphasis on diagrams throughout the text to make the contents more comprehensible and intuitive.
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Shaterian, Zahra. "Staggered and non-staggered time-domain meshless radial point interpolation method in electromagnetics." Thesis, 2015. http://hdl.handle.net/2440/95232.

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Meshless methods have gained attention recently as a new class of numerical methods for the solution of partial differential equations in various disciplines of computational engineering. This class of methods offers several promising features compared to mesh-based approaches. The principle of domain discretization with arbitrary node distributions allows accurate modeling of complex geometries with fine details. Moreover, an elaborate and time-consuming re-meshing in the grid-based methods can be replaced in meshless counterparts by an adaptive node refinement during the simulation. This can be exploited to enhance solution accuracy or in optimization procedures. In this thesis, the meshless Radial Point Interpolation Method (RPIM) is investigated for application in time-domain computational electromagnetics. The numerical algorithm is based on a combination of locally defined radial and polynomial basis functions and yields a highly accurate local interpolation of field values and associated derivatives based on the values at close neighboring positions. These interpolated partial derivatives are used to solve the partial differential equations. The thesis is firstly focused on the staggered meshless RPIM. The classical implementation of the staggered meshless RPIM in electromagnetics using the first-order Maxwell’s curl equations is described and the update equations for the staggered electric and magnetic fields are shown. To enhance the capability of the algorithm, a novel implementation of the Uniaxial Perfectly Matched Layer (UPML) is introduced. It is shown however that UPML has intrinsically a long-time instability. Therefore, to avoid this instability two loss terms are introduced, which are added to the update equations in the UPML region after almost all the energy from the computational domain is absorbed. Various capabilities of the meshless method are then validated through different numerical examples using staggered node arrangements in the staggered meshless RPIM. However, the generation of a dual node distribution can be computationally costly and restricts the freedom of node positions, which might reduce the potential advantages of the scheme. To overcome this challenge, the thesis next proposes a novel non-staggered algorithm for the meshless RPIM based on a magnetic vector potential technique. In this method instead of solving Maxwell’s curl equations for the electric and magnetic fields, the wave equation for the magnetic vector potential is solved. Therefore, a single set of nodes can be used to discretize the computational domain. Importantly in the proposed implementation, solving the second-order vector potential wave equation intrinsically enforces the divergence-free property of the electric and magnetic fields and the computational effort associated with the generation of a dual node distribution is avoided. In this part of the thesis, a hybrid algorithm is further proposed to implement staggered perfectly matched layers in the non-staggered RPIM framework. The properties of the proposed non-staggered RPIM are evaluated through several numerical examples both in 2D and 3D implementations. In the last part of the thesis, the staggered and non-staggered implementations of meshless RPIM are directly compared in terms of efficiency and accuracy. It is shown that the non-staggered meshless RPIM not only bypasses the requirement of the dual node distribution, but also suppresses the spurious solutions observed in the staggered implementation. The results of this research show the capability of meshless RPIM for being used efficiently in time-domain computational electromagnetics.
Thesis (Ph.D.) -- University of Adelaide, School of Electrical and Electronic Engineering, 2015
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Azevedo, José Manuel Cruz. "Fracture mechanics using the natural neighbour radial point interpolation method." Dissertação de mestrado, 2013. http://hdl.handle.net/10216/72564.

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Moreira, Susana Fernandes. "Elastoplastic analysis using the Natural Neighbour Radial Point Interpolation Method." Master's thesis, 2013. https://repositorio-aberto.up.pt/handle/10216/100302.

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Azevedo, José Manuel Cruz. "Fracture mechanics using the Natural Neighbour Radial Point Interpolation Method." Master's thesis, 2013. https://hdl.handle.net/10216/96261.

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Moreira, Susana Fernandes. "Elastoplastic analysis using the Natural Neighbour Radial Point Interpolation Method." Dissertação, 2013. https://repositorio-aberto.up.pt/handle/10216/100302.

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Books on the topic "Radical point interpolation method"

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Dienstag, Joshua Foa. Postmodern Approaches to the History of Political Thought. Edited by George Klosko. Oxford University Press, 2011. http://dx.doi.org/10.1093/oxfordhb/9780199238804.003.0003.

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This article describes the postmodern approach to the history of political thought that has evolved through the practices of a variety of theorists in both Europe and the United States since the 1950s. It maintains that Friedrich Nietzsche's philosophy is the originating point of this movement, although neither he nor any of the other theorists it mentions left any canonical statements of methods to compare with the works of Quentin Skinner or Leo Strauss. Terms such as “deconstruction,” “genealogy,” and “radical hermeneutics” are often used to describe these methods. At the broadest level, the postmodern approach displays an acute sensitivity to the role of language in politics, and in political theory itself, that originates in the work of Nietzsche. While postmodernism is nothing if not a congeries of method, this article argues that these diverse approaches have, if not a unity, than at least common sources and overlapping themes.
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Book chapters on the topic "Radical point interpolation method"

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Weijun, Hu, and Xia Ping. "The Radial Point Interpolation Meshless Method for a Moderately Thick Plate." In Information and Business Intelligence, 628–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29084-8_97.

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Dias, D., and J. Belinha. "The structural analysis of rib bones using a radial point interpolation meshless method." In Advances and Current Trends in Biomechanics, 423–27. London: CRC Press, 2021. http://dx.doi.org/10.1201/9781003217152-93.

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Djeukou, Armel, and Otto von Estorff. "Static and Damage Analyses of Shear Deformable Laminated Composite Plates Using the Radial Point Interpolation Method." In Progress on Meshless Methods, 199–216. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-8821-6_12.

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Rodrigues, D. E. S., J. Belinha, R. M. Natal Jorge, and L. M. J. S. Dinis. "The Natural Neighbour Radial Point Interpolation Method to Predict the Compression and Traction Behavior of Thermoplastics." In Structural Integrity, 393–99. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13980-3_50.

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Mountris, Konstantinos A., and Esther Pueyo. "The Radial Point Interpolation Mixed Collocation (RPIMC) Method for the Solution of the Reaction-Diffusion Equation in Cardiac Electrophysiology." In Computational and Experimental Simulations in Engineering, 39–44. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67090-0_4.

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Coelho, C. C. C., J. Belinha, and R. M. Natal Jorge. "Computational structural analysis of dental implants using radial point interpolation meshless methods." In Biodental Engineering V, 225–30. London, UK; Boca Raton, FL: Taylor & Francis Group, [2019] |: CRC Press, 2019. http://dx.doi.org/10.1201/9780429265297-44.

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Rouillier, Fabrice, Mohab Safey El Din, and Éric Schost. "Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study." In Automated Deduction in Geometry, 26–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45410-1_3.

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Tran, Quoc Anh, Wojciech Solowski, Vikas Thakur, and Minna Karstunen. "Modelling of the Quickness Test of Sensitive Clays Using the Generalized Interpolation Material Point Method." In Landslides in Sensitive Clays, 323–36. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56487-6_29.

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Sakata, Shojiro. "On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 172–81. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45624-4_18.

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Li, Yuanyuan, Sumin Han, and Fuzhong Wang. "An Improved Algorithm for Maximum Power Point Tracking of Photovoltaic Cells Based on Newton Interpolation Method." In Proceedings of 2018 Chinese Intelligent Systems Conference, 585–93. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2288-4_56.

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Conference papers on the topic "Radical point interpolation method"

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Wang, J. G., T. Nogami, and Md Rezaul Karim. "RADIAL POINT INTERPOLATION METHOD FOR INTERFACE PROBLEMS." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0019.

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Wu, Yang, Zhizhang David Chen, and Junfeng Wang. "The radial point interpolation method for plasma modeling." In 2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2017. http://dx.doi.org/10.1109/apusncursinrsm.2017.8072521.

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Zhang, Xiaoyan, Peng Ye, Zhizhang David Chen, and Yiqiang Yu. "Numerical dispersion analysis of radial point interpolation meshless method." In 2017 Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL). IEEE, 2017. http://dx.doi.org/10.1109/piers-fall.2017.8293228.

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Yiqiang Yu and Zhizhang Chen. "Dielectric boundary conditions with the meshless radial point interpolation method." In 2010 14th International Symposium on Antenna Technology and Applied Electromagnetics and the American Electromagnetics Conference (AMEREM/ANTEM 2010). IEEE, 2010. http://dx.doi.org/10.1109/antem.2010.5552474.

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Nakata, Susumu. "Acceleration of Meshfree Radial Point Interpolation Method on Graphics Hardware." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990943.

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Coppoli, Eduardo Henrique da Rocha, Brahim Ramdane, Yves Marechal, and Marcio Matias Afonso. "Meshless Local Radial Point Interpolation Method for Electromagnetic Devices Modeling." In 2019 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF). IEEE, 2019. http://dx.doi.org/10.1109/isef45929.2019.9097001.

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Kaufmann, Thomas, Christophe Fumeaux, and Rudiger Vahldieck. "The meshless radial point interpolation method for time-domain electromagnetics." In 2008 IEEE MTT-S International Microwave Symposium Digest - MTT 2008. IEEE, 2008. http://dx.doi.org/10.1109/mwsym.2008.4633103.

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Liu, Xin, G. R. Liu, Kang Tai, and K. Y. Lam. "RADIAL BASIS POINT INTERPOLATION COLLOCATION METHOD FOR 2-D SOLID PROBLEM." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0008.

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Liu, G. R., K. Y. Dai, Y. T. Gu, and K. M. Lim. "A COMPARISON BETWEEN RADIAL POINT INTERPOLATION METHOD (RPIM) AND KRIGING BASED MESHFREE METHOD." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0007.

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Nakata, Susumu, Yu Takeda, Norihisa Fujita, and Soichiro Ikuno. "Parallel algorithm for meshfree radial point interpolation method on graphics hardware." In 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2010). IEEE, 2010. http://dx.doi.org/10.1109/cefc.2010.5481455.

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