3 papers
math.NA2026
Convergence analysis of two-grid methods for nonsymmetric positive definite systems
Xuefeng Xu
The convergence theory of multigrid methods for symmetric positive definite systems is well established. For nonsymmetric systems, however, the corresponding theory remains far fro…
math.NA2026
Convergence analysis of two-grid methods for symmetric positive semidefinite systems
Xuefeng Xu
Two-grid theory plays a fundamental role in the design and analysis of multigrid methods. This paper is devoted to a new convergence analysis of two-grid methods for singular and s…
math.NA2025
A new characterization of the convergence factor of two-level methods
Xuefeng Xu
Multilevel methods are among the most efficient numerical methods for solving large-scale systems of equations that arise from discretized partial differential equations. Two-level…