hp-Cloud approximation of the Dirac eigenvalue problem: The way of stability
Artikel i vetenskaplig tidskrift, 2014

We apply hp-cloud method to the radial Dirac eigenvalue problem. The difficulty of occurrence of spurious eigenvalues among the genuine ones in the computation is resolved. The method of treatment is based on assuming hp-cloud Petrov-Galerkin scheme to construct the weak formulation of the problem which adds a consistent diffusivity to the variational formulation. The size of the artificially added diffusion term is controlled by a stability parameter (tau). The derivation of tau assumes the limit behavior of the eigenvalues at infinity. The parameter tau is applicable for generic basis functions. This is combined with the choice of appropriate intrinsic enrichments in the construction of the cloud shape functions. (C) 2014 Elsevier Inc. All rights reserved.

Mathematical

COMPUTER SCIENCE

FREE GALERKIN METHOD

MATHEMATICAL

MESHLESS METHODS

Computer Science

Intrinsic

INTERDISCIPLINARY APPLICATIONS

Moving least-squares

MLPG METHOD

INTEGRATION

Physics

Dirac operator

EQUATION

PHYSICS

ESSENTIAL BOUNDARY-CONDITIONS

SPURIOUS SOLUTIONS

Meshfree method

Spurious eigenvalues

FINITE-ELEMENT

Interdisciplinary Applications

IMPLEMENTATION

Clouds

Författare

Hasan Almanasreh

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Journal of Computational Physics

0021-9991 (ISSN) 1090-2716 (eISSN)

Vol. 272 487-506

Ämneskategorier

Matematik

DOI

10.1016/j.jcp.2014.03.046