\(hp\)-cloud approximation of the Dirac eigenvalue problem: the way of stability
DOI10.1016/j.jcp.2014.03.046zbMath1349.65601arXiv1205.3808OpenAlexW2163054542MaRDI QIDQ349362
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.3808
Dirac operatorcloudsspurious eigenvaluesmeshfree methodPetrov-Galerkinintrinsic enrichmentmoving least-squaresstability parameter
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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- Meshless methods: a review and computer implementation aspects
- Orbital HP-clouds for solving Schrödinger equation in quantum mechanics
- On the spurious solutions in the high-order finite difference methods for eigenvalue problems
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Accumulation of discrete eigenvalues of the radial Dirac operator
- Numerical integration of the Galerkin weak form in meshfree methods
- A stable Petrov-Galerkin method for convection-dominated problems
- Meshless methods: An overview and recent developments
- An \(h\)-\(p\) adaptive method using clouds
- A Petrov-Galerkin formulation for advection-reaction-diffusion problems
- Enforcement of essential boundary conditions in meshless approximations using finite elements
- Filters, reproducing kernel, and adaptive meshfree method
- Investigations on the \(hp\)-cloud method by solving Timoshenko beam problems
- A coupled finite element -- element-free Galerkin method
- A new implementation of the element free Galerkin method
- Stabilized finite element method for the radial Dirac equation
- Imposition of essential boundary conditions by displacement constraint equations in meshless methods
- A Petrov-Galerkin/modified operator formulation for convection-diffusion problems
- hp-Clouds in Mindlin's thick plate model
- Numerical solution of the Dirac equation by a mapped Fourier grid method
- Spurious Roots in the Algebraic Dirac Equation
- Element free analyses of shell and spatial structures
- Modified Taylor reproducing formulas and \emph{h-p} clouds
- Two-time Green's function method in quantum electrodynamics of high-\(Z\) few-electron atoms
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