246 citations · 723 across the 62 of their papers we have counts for
7 papers · 2 filters
A Reconstructed Discontinuous Approximation to Monge-Ampere Equation in Least Square Formation
Ruo Li, Fanyi Yang
We propose a numerical method to solve the Monge-Ampere equation which admits a classical convex solution. The Monge-Ampere equation is reformulated into an equivalent first-order…
A Finite Volume Scheme for Savage-Hutter Equations on Unstructured Grids
Ruo Li, Xiaohua Zhang
A Godunov-type finite volume scheme on unstructured triangular grids is proposed to numerically solve the Savage-Hutter equations in curvilinear coordinate. We show the direct obse…
A sequential least squares method for elliptic equations in non-divergence form
Ruo Li, Fanyi Yang
We develop a new least squares method for solving the second-order elliptic equations in non-divergence form. Two least-squares-type functionals are proposed for solving the equati…
A Least Squares Method for Linear Elasticity using A Patch Reconstructed Space
Ruo Li, Fanyi Yang
We propose a discontinuous least squares finite element method for solving the linear elasticity. The approximation space is obtained by patch reconstruction with only one unknown…
A Robust Riemann Solver for Multiple Hydro-Elastoplastic Solid Mediums
Ruo Li, Yanli Wang, Chengbao Yao
We propose a robust approximate solver for the hydro-elastoplastic solid material, a general constitutive law extensively applied in explosion and high speed impact dynamics, and p…
A Sequential Least Squares Method for Poisson Equation using A Patch Reconstructed Space
Ruo Li, Fanyi Yang
We propose a new least squares finite element method to solve the Poisson equation. By using a piecewisely irrotational space to approximate the flux, we split the classical method…