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20192026
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math.NA2026

A correction adaptive two-grid finite element method for nonselfadjoint or indefinite elliptic problems

Fei Li, Qingguo Hong, Ming Tang +1

We propose, analyze, and numerically validate a correction adaptive two-grid finite element method (CAT-GFEM) for nonselfadjoint or indefinite elliptic problems. In contrast to the…

math.NA2025

A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems

Jie Peng, Shi Shu, Junxian Wang +1

The solution of nonsymmetric but positive definite (NSPD) systems arising from advection-diffusion problems is an important research topic in science and engineering. Balancing dom…

math.NA2023

A Posteriori Error Estimates for A Modified Weak Galerkin Finite Element Method Solving Linear Elasticity Problems

Liu Chunmei, Zhong Liuqiang, Xie Yingying Xie +1

In this paper, a residual-type a posteriori error estimator is proposed and analyzed for a modified weak Galerkin finite element method solving linear elasticity problems. The esti…

math.NA2023

A Posterior Error Estimator for Mixed Interior Penalty Discontinuous Galerkin Finite Element Method for the H(curl)-Elliptic Problems

Ming Tang, Xiaoqing Xing, Liuqiang Zhong

In this paper, we design the first residual type a posteriori error estimator for mixed interior penalty discontinuous Galerkin method for the H(curl)-elliptic problems. Then we pr…

math.NA2023

Iterative two-level algorithm for nonsymmetric or indefinite elliptic problems

Ming Tang, Xiaoqing Xing, Ying Yang +1

In this paper, a new iterative two-level algorithm is presented for solving the finite element discretization for nonsymmetric or indefinite elliptic problems. The iterative two-le…

math.NA2023

An iterative two-grid method for strongly nonlinear elliptic boundary value problems

Jiajun Zhan, Lei Yang, Xiaoqing Xing +1

We design and analyze an iterative two-grid algorithm for the finite element discretizations of strongly nonlinear elliptic boundary value problems in this paper. We propose an ite…