32 citations · 50 across the 6 of their papers we have counts for
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Stability estimates for radial basis function methods applied to linear scalar conservation laws
Igor Tominec, Murtazo Nazarov, Elisabeth Larsson
We derive stability estimates for three commonly used radial basis function (RBF) methods to solve hyperbolic time-dependent PDEs: the RBF generated finite difference (RBF-FD) meth…
Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws
Igor Tominec, Murtazo Nazarov
In this paper, we solve nonlinear conservation laws using the radial basis function generated finite difference (RBF-FD) method. Nonlinear conservation laws have solutions that ent…
An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations
Igor Tominec, Pierre-Frederic Villard, Elisabeth Larsson +2
The thoracic diaphragm is the muscle that drives the respiratory cycle of a human being. Using a system of partial differential equations (PDEs) that models linear elasticity we co…