259 citations · 293 across the 9 of their papers we have counts for
9 papers
Solving Two Dimensional H(curl)-elliptic Interface Systems with Optimal Convergence On Unfitted Meshes
Ruchi Guo, Yanping Lin, Jun Zou
In this article, we develop and analyze a finite element method with the first family Nédélec elements of the lowest degree for solving a Maxwell interface problem modeled by a $\m…
A mixed finite element method on polytopal mesh
Yanping Lin, Xiu Ye, Shangyou Zhang
In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second order elliptic problem. We establish optimal order error estimates fo…
Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems
Ruchi Guo, Tao Lin, Yanping Lin +1
This article presents an error analysis of the symmetric linear/bilinear partially penalized immersed finite element (PPIFE) methods for interface problems of Helmholtz equations.…
A Fixed Mesh Method With Immersed Finite Elements for Solving Interface Inverse Problems
Ruchi Guo, Tao Lin, Yanping Lin
We present a new fixed mesh algorithm for solving a class of interface inverse problems for the typical elliptic interface problems. These interface inverse problems are formulated…
Approximation Capabilities of Immersed Finite Element Spaces for Elasticity Interface Problems
Ruchi Guo, Tao Lin, Yanping Lin
We construct and analyze a group of immersed finite element (IFE) spaces formed by linear, bilinear and rotated Q1 polynomials for solving planar elasticity equation involving inte…
The Solvability Of Magneto-heating Coupling Model With Turbulent Convection Zone And The Flow Fields
Changhui Yao, Yanping Lin, Lixiu Wang +1
In this paper, the magneto-heating coupling model is studied in details, with turbulent convection zone and the flow field involved. Our main work is to analyze the well-posed prop…
Error estimates of the Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrödinger equations under the Lorentz gauge
Chupeng Ma, Liqun Cao, Yanping Lin
In this paper we study the numerical method and the convergence for solving the time-dependent Maxwell-Schrödinger equations under the Lorentz gauge. An alternating Crank-Nicolson…
Mathematical and numerical analysis of the time-dependent Maxwell--Schrödinger Equations in the Coulomb gauge
Chupeng Ma, Liqun Cao, Jizu Huang +1
In this paper, we consider the initial-boundary value problem for the time-dependent Maxwell--Schrödinger equations in the Coulomb gauge. We first prove the global existence of wea…
Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems
Tao Lin, Yanping Lin, Xu Zhang
This article presents new immersed finite element (IFE) methods for solving the popular second order elliptic interface problems on structured Cartesian meshes even if the involved…