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A Domain Decomposition Algorithm Using a Hierarchical Basis

Data up to Jan 2025

Published1990
Citations41
References27

Total Citations Per Year

Abstract

References (27)

Matrix Iterative Analysis

1963 • 4,155 citations

Mixed finite elements in ?3

1980 • 3,107 citations

On the multi-level splitting of finite element spaces

1986 • 641 citations

A Computer and Communication Network Performance Analysis Primer (Prentice Hall, Englewood Cliffs, NJ, 1985; revised, 1987).

1987 • 582 citations

The Construction of Preconditioners for Elliptic Problems by Substructuring. I

1986 • 545 citations

Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures

1986 • 399 citations

The construction of preconditioners for elliptic problems by substructuring. I

1986 • 377 citations

The hierarchical basis multigrid method

1988 • 337 citations

Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions

1991 • 205 citations

First International Symposium on Domain Decomposition Methods for Partial Differential Equations.

1989 • 190 citations

Towards a unified theory of domain decomposition algorithms for elliptic problems

2011 • 182 citations

Some Domain Decomposition Algorithms for Elliptic Problems

1990 • 174 citations

An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures

1986 • 150 citations

An iterative method for elliptic problems on regions partitioned into substructures

1986 • 143 citations

The problem of selecting the shape functions for a p‐type finite element

1989 • 122 citations

A capacitance matrix method for Dirichlet problem on polygon region

1982 • 110 citations

Iterative Substructuring Methods: Algorithms and Theory for Elliptic Problems in the Plane

2018 • 81 citations

Iterative solvers by substructuring for the p-version finite element method

1990 • 77 citations

Two‐level domain decomposition preconditioning for the p‐version finite element method in three dimensions

1990 • 72 citations

SOLVING ELLIPTIC PROBLEMS ON REGIONS PARTITIONED INTO SUBSTRUCTURES

1984 • 63 citations

Multilevel Additive Methods for Elliptic Finite Element Problems

2018 • 61 citations

On block diagonal and Schur complement preconditioning

1990 • 51 citations

Domain decomposition algorithms for the partial differential equations of linear elasticity

1990 • 49 citations

Hierarchical bases give conjugate gradient type methods a multigrid speed of convergence

1986 • 41 citations

Parallelizing preconditioned conjugate gradient algorithms

1989 • 30 citations

SOLVING ELLIPTIC PROBLEMS BY DOMAIN DECOMPOSITION METHODS WTIH APPLICATIONS

1984 • 22 citations

Deleted Work

1955 • 0 citations

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