2 citations · 2 across the 4 of their papers we have counts for
8 papers
The Least Squares Finite Element Method for Elasticity Interface Problem on Unfitted Mesh
Fanyi Yang
In this paper, we propose and analyze the least squares finite element methods for the linear elasticity interface problem in the stress-displacement system on unfitted meshes. We…
A discontinuous least squares finite element method for Helmholtz equations
Ruo Li, Qicheng Liu, Fanyi Yang
We propose a discontinuous least squares finite element method for solving the Helmholtz equation. The method is based on the L2 norm least squares functional with the weak imposit…
A discontinuous least squares finite element method for time-harmonic Maxwell equations
Ruo Li, Qicheng Liu, Fanyi Yang
We propose and analyze a discontinuous least squares finite element method for solving the indefinite time-harmonic Maxwell equations. The scheme is based on the norm least s…
Reconstructed Discontinuous Approximation to Stokes Equation in A Sequential Least Squares Formulation
Ruo Li, Fanyi Yang
We propose a new least squares finite element method to solve the Stokes problem with two sequential steps. The approximation spaces are constructed by patch reconstruction with on…
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 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…