Elliptic Problem Solvers

Contributors

Preface

I Software Packages

Building Elliptic Problem Solvers with ELLPACK*

Presentation and Evolution of the Club Modulef: A Library of Computer Procedures for Finite Element Analysis

A Fourth-Order Accurate Fast Direct Method for the Helmholtz Equation

The (New) Yale Sparse Matrix Package

The ITPACK Project: Past, Present, and Future

CMMPAK—The Capacitance Matrix Software Package

II Vector and Parallel Processing

Solving Elliptic Problems on an Array Processor System*

Parallel Architectures for Iterative Methods on Adaptive, Block Structured Grids

Highly Concurrent Algorithms for Solving Linear Systems of Equations

Conjugate Gradient Preconditioners for Vector and Parallel Processors

An Algebra for Systolic Computation

An Incomplete-Cholesky Factorization by a Matrix Partition Algorithm

A Fast Poisson Solver for Multiprocessors

Systolic Arrays: High Performance Parallel Machines for Matrix Computation

III Iterative Equation Solving

A Survey of Recent Results on Iterative Methods for Solving Large Sparse Linear Systems*

Numerical Algorithms for Indefinite Problems

Preconditioned Conjugate Gradient Methods for the Helmholtz Equation

Solving Elliptic Problems on Regions Partitioned into Substructures

The Ad Hoc SOR Method: A Local Relaxation Scheme

Iterative Methods for Non-Self-Adjoint Elliptic Problems

Implicit Block Explicit Overrelaxation Schemes

Dynamic Acceleration of Nonlinear Iterations

Navier-Stokes Pressure Equation Iteration

Accelerating Nonsymmetrizable Iterative Methods

IV Finite Element and Multigrid Methods

Adaptive Finite Element Processes in Structural Mechanics*

Finite Element Approximations to Compressible Flow Problems*

Solving Elliptic Problems by Domain Decomposition Methods with Applications*

Computing Added Mass Coefficients

A Priori Local Grid Refinement in the Multigrid Method

Abstract Multi-Grid with Applications to Elliptic Boundary Value Problems

A New Ordering Scheme for the Hermite Bicubic Collocation Equations

Solution Methods for the Finite Element Equations in Nonlinear Shell Analysis

V Advances in Modeling and Physical Applications

Discretization and Multilevel Solution Techniques for Nonlinear Elliptic Systems*

Analysis of Nonlinear Elliptic Systems Arising in Reaction/Diffusion Modeling*

Numerical Methods for Solving Coupled Semiconductor Equations on a Minicomputer

Numerical Solution of a Model Equation Near the Onset of the Rayleigh-Bénard Instability

Approximation of a Nonsymmetric, Singularly Perturbed Problem

Numerical Solution of a Confined Laminar Diffusion Flame

Index