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Meshless local Petrov‐Galerkin (MLPG) methods in quantum mechanics
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2011PurposeThe purpose of this paper is to solve both eigenvalue and boundary value problems coming from the field of quantum mechanics through the application of meshless methods, particularly the one known as meshless local Petrov‐Galerkin (MLPG).Design/methodology/approachRegarding eigenvalue problems, the authors show how to apply MLPG to the time ...
Nicomedes, Williams L. +2 more
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A hybrid meshless local Petrov–Galerkin method for unbounded domains
Computer Methods in Applied Mechanics and Engineering, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deeks, A. J., Augarde, C. E.
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Elastodynamic problems by meshless local integral method: Analytical formulation
Engineering Analysis with Boundary Elements, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen, P. H., Aliabadi, M. H.
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A comparison of numerical integration rules for the meshless local Petrov–Galerkin method
Numerical Algorithms, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MAZZIA, ANNAMARIA +3 more
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Local orthogonal meshless method in electromagnetic numerical calculation
2011 International Conference on Multimedia Technology, 2011Orthogonal meshless method is based on an improved mobile least-squares approximation, IMLS approximate calculation of approximate have higher accuracy and efficiency than MLS, the system equation won't produce pathological; When structural orthogonal basis shape function derivative need to undertake trivial derived. The local orthogonal basis function
Weihe Ren +3 more
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A meshless local Petrov-Galerkin scaled boundary method
Computational Mechanics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deeks, A. J., Augarde, C. E.
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The complex variable meshless local Petrov–Galerkin method for elastodynamic problems
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baodong Dai +3 more
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A model-integrated localized collocation meshless method (MIMS)
2013A model integrated meshless solver (MIMS) tailored to solve practical large-scale industrial problems is based on robust meshless methods strategies that integrate a native model-based point generation procedures. The MIMS approach fully exploits strengths of meshless methods to achieve automation, stability, and accuracy by blending meshless solution ...
Gerace, S. +3 more
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CUDA Approach for Meshless Local Petrov–Galerkin Method
IEEE Transactions on Magnetics, 2015In this paper, a strategy to parallelize the meshless local Petrov–Galerkin (MLPG) method is developed. It is executed in a high parallel architecture, the well known graphics processing unit. The MLPG algorithm has many variations depending on which combination of trial and test functions is used.
Bruno C. Correa +2 more
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A LOCALIZED MESHLESS METHOD FOR TRANSIENT HEAT CONDUCTION WITH APPLICATIONS
Computational Thermal Sciences: An International JournalThe localized radial basis function (RBF) meshless approach is well suited for modeling transient heat conduction. The advantages of meshless methods, such as ease of discretization, are well known. However, there are still few examples of the method extended to three-dimensional (3D) transient heat conduction for geometries of practical engineering ...
Kyle W. Beggs +2 more
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