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The point collocation method with a local maximum entropy approach [PDF]
Computers and Structures, 2018 Abstract Meshless methods have long been a topic of interest in computational modelling in solid mechanics and are broadly divided into weak and strong form-based approaches. The need for numerical integration in the former remains a challenge often met by using a background mesh or complex stabilised nodal approaches.
Lei Fan
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A collocation method for two-point boundary value problems [PDF]
Mathematics of Computation, 1975 This article is concerned with the use of collocation by splines to numerically solve two-point boundary value problems. The problem is analyzed in terms of cubic splines first and then extended to the use of quintic and septic splines. Consideration is given both to convergences as the mesh is refined and to the bandwidth of the matrices involved ...
Ahlberg, J. H., Ito, T.
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One-Point Spectrum Nordsieck Almost Collocation Methods [PDF]
International Journal of Circuits, Systems and Signal Processing, 2020 A family of multivalue collocation methods for the numerical solution of differen- tial problems is proposed. These methods are developed in order to be suitable for the solu- tion of stiff problems, since they are highly stable and do not suffer from order reduction, as they have uniform order of convergence in the whole integration interval.
Conte Dajana +3 more
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Journal of King Saud University: Engineering Sciences, 1998 A one-point collocation scheme is developed for the transient heat conduction problem. The scheme makes use of the asymptotic solution of the problem for short time and the fact that initially the temperature profile can be divided into two zones, a fast
M.A. Soliman, A.A. Ibrahim
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Studies on the Method of Orthogonal Collocation: V. Multiple Steady States in Catalyst Particles
Journal of King Saud University: Engineering Sciences, 2000 Efficient numerical schemes are developed in this paper to solve the boundary value problems of diffusion with chemical reaction in catalyst particles. These schemes are based on the fact the concentration profiles can be divided into reaction and dead ...
K.I Alhumaizi, M.A. Soliman
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Behavior of Electrothermal Actuator Analyzed by Polynomial Point Interpolation Collocation Method [PDF]
MicromachinesThis paper presents a novel implementation of the Polynomial Point Interpolation Collocation Method (PPCM) for analyzing the coupled electrothermal and thermomechanical behavior of V-shaped microactuators.
Yujuan Tang +6 more
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Alexandria Engineering Journal, 2023 The primary goal of this study is to increase and improve the precision and order of convergence of the well-known Haar wavelet collocation method (HWCM) that is named as Higher order Haar wavelet collocation method (HHWCM).
Muhammad Ahsan +7 more
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A point collocation method for geometrically nonlinear membranes
International Journal of Solids and Structures, 2013 AbstractThis paper describes the development of a numerical model for geometrically nonlinear membranes and evaluates its performance for membranes at static equilibrium. The scheme has several features not commonly seen in structural finite element analysis: the point collocation method, group formulation, and a staggered mesh.
Kolsti, Kyle F., Kunz, Donald L.
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Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver [PDF]
Journal of Applied Mathematics, 2012 For solving electroencephalographic forward problem, coupled method of finite element method (FEM) and fast moving least square reproducing kernel method (FMLSRKM) which is a kind of meshfree method is proposed.
Chany Lee +3 more
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A collocation meshless method based on local optimal point interpolation [PDF]
International Journal for Numerical Methods in Engineering, 2003 AbstractThis paper deals with the use of the local optimal point interpolating (LOPI) formula in solving partial differential equations (PDEs) with a collocation method. LOPI is an interpolating formula constructed by localization of optimal point interpolation formulas that reproduces polynomials and verifies the delta Kronecker property.
Zuppa, Carlos, Cardona, Alberto
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