14 citations · 30 across the 9 of their papers we have counts for
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An unfitted finite element method for elliptic interface problem with low regularity estimates
Fanyi Yang
In this paper, we present and analyze an unfitted finite element method for the elliptic interface problem. We consider the case that the interface is -smooth or polygonal, an…
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…
Solving Eigenvalue Problems in a Discontinuous Approximation Space by Patch Reconstruction
Ruo Li, Zhiyuan Sun, Fanyi Yang
We adapt a symmetric interior penalty discontinuous Galerkin method using a patch reconstructed approximation space to solve elliptic eigenvalue problems, including both second and…
A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh
Ruo Li, Fanyi Yang
We propose a discontinuous Galerkin(DG) method to approximate the elliptic interface problem on unfitted mesh using a new approximation space. The approximation space is constructe…