3 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
Convex Optimization-Based Structure-Preserving Filter For Multidimensional Finite Element Simulations
Vidhi Zala, Akil Narayan, Robert M Kirby
In simulation sciences, it is desirable to capture the real-world problem features as accurately as possible. Methods popular for scientific simulations such as the finite element…
Structure-preserving Nonlinear Filtering for Continuous and Discontinuous Galerkin Spectral/hp Element Methods
Vidhi Zala, Robert M. Kirby, Akil Narayan
Finite element simulations have been used to solve various partial differential equations (PDEs) that model physical, chemical, and biological phenomena. The resulting discretized…
Fast Barycentric-Based Evaluation Over Spectral/hp Elements
Edward Laughton, Vidhi Zala, Akil Narayan +2
As the use of spectral/ element methods, and high-order finite element methods in general, continues to spread, community efforts to create efficient, optimized algorithms asso…
Structure-preserving function approximation via convex optimization
Vidhi Zala, Robert M. Kirby, Akil Narayan
Approximations of functions with finite data often do not respect certain "structural" properties of the functions. For example, if a given function is non-negative, a polynomial a…
Curvilinear Mesh Adaptation using Radial Basis Function Interpolation and Smoothing
Vidhi Zala, Varun Shankar, Shankar P. Sastry +1
We present a new iterative technique based on radial basis function (RBF) interpolation and smoothing for the generation and smoothing of curvilinear meshes from straight-sided or…