4 papers
Data Interpolation Accuracy Comparison: Gravity Model Versus Radial Basis Function
Amirehsan Ghasemi, Kelvin J Msechu, Arash Ghasemi +3
In this paper, the accuracy of two mesh-free approximation approaches, the Gravity model and Radial Basis Function, are compared. The two schemes' convergence behaviors prove that…
Spectral/hp Hull: A Degree of Freedom Reducing Discontinuous Spectral Element Method for Conservation Laws with Application to Compressible Fluid Flow
A. Ghasemi, L. K. Taylor, J. C. Newman
In conventional spectral/finite element methods, the triangulation/quadrilateralization of the domain produces many interior edges which require additional DOF. What if we could di…
Numerical Stability and Catalan Numbers
Arash Ghasemi, Kidambi Sreenivas, Lafayette K. Taylor
To predict allowable time-step size for the fully discretized nonlinear differential equations, a stability theory is developed using exact determination of an infinite perturbatio…
A Progressive Statistical Method for Preconditioning Matrix-Free Solution of High-Order Discretization of Linear Time-Dependent Problems
A. Ghasemi, L. K. Taylor
Preconditioning of a linear system obtained from spectral discretization of time-dependent PDEs often results in a full matrix which is expensive to compute and store specially whe…