1992•SIAM Journal on Scientific and Statistical ComputingRequires access

Multilevel Filtering Preconditioners: Extensions to More General Elliptic Problems

Charles H. Tong, Tony Fan-Cheong Chan, C.‐C. Jay Kuo

Abstract

The concept of multilevel filtering (MF) preconditioning applied to second-order selfadjoint elliptic problems is briefly reviewed. It is then shown how to effectively apply this concept to other elliptic problems such as the second-order anisotropic problem, biharmonic equation, equations on locally refined grids and interface operators arising from domain decomposition methods. Numerical results are given to show the effectiveness of the MF preconditioners on these problems.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Biharmonic equation, Mathematics, Domain decomposition methods, Elliptic operator, Applied mathematics, Elliptic curve, Elliptic partial differential equation, Domain (mathematical analysis)