Polyharmonic Multiquadric Particular Solutions for Reissner/Mindlin Plate
نویسندگان
چکیده
منابع مشابه
Groupwise Non-rigid Registration Using Polyharmonic Clamped-Plate Splines
This paper introduces a novel groupwise data-driven algorithm for non-rigid registration. The motivation behind the algorithm is to enable the analysis of groups of registered images; to this end, the algorithm automatically constructs a low-dimensional, common representation of the warp fields. We demonstrate the algorithm on an example set of 2D medical images, and show that we can obtain goo...
متن کاملLarge Radial Solutions of a Polyharmonic Equation with Superlinear Growth
This paper concerns the equation ∆mu = |u|p, where m ∈ N, p ∈ (1,∞), and ∆ denotes the Laplace operator in RN, for some N ∈ N. Specifically, we are interested in the structure of the set L of all large radial solutions on the open unit ball B in RN . In the well-understood second-order case, the set L consists of exactly two solutions if the equation is subcritical, of exactly one solution if i...
متن کاملStatic and Dynamic analysis of rectangular isotropic plate using multiquadric radial basis function
This paper presents a methodology based on the collocation multiquadric radial basis functions to analyze the static and dynamic behavior of isotropic rectangular plates. The inertia and dissipative terms are evaluated by employing Newmark implicit time marching scheme. The spatial discretization of the differential equations generates greater number of algebraic equations than the unknown coef...
متن کاملReviving the Method of Particular Solutions
Fox, Henrici, and Moler made famous a “Method of Particular Solutions” for computing eigenvalues and eigenmodes of the Laplacian in planar regions such as polygons. We explain why their formulation of this method breaks down when applied to regions that are insufficiently simple and propose a modification that avoids these difficulties. The crucial changes are to introduce points in the interio...
متن کاملA localized approach for the method of approximate particular solutions
The method of approximate particular solutions (MAPS) has been recently developed to solve various types of partial differential equations. In the MAPS, radial basis functions play an important role in approximating the forcing term. Coupled with the concept of particular solutions and radial basis functions, a simple and effective numerical method for solving a large class of partial different...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2015
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2015/246159