Elliptic Problem Solvers
Volume II
- 1st Edition - January 28, 1984
- Imprint: Academic Press
- Editors: Garrett Birkhoff, Arthur Schoenstadt
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 3 6 2 1 - 6
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 3 3 9 - 7
Elliptic Problem Solvers, II covers the proceedings of the Elliptic Problem Solvers Conference, held at the Naval Postgraduate School in Monterey, California from January 10 to 12,… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteElliptic Problem Solvers, II covers the proceedings of the Elliptic Problem Solvers Conference, held at the Naval Postgraduate School in Monterey, California from January 10 to 12, 1983. The book focuses on various aspects of the numerical solution of elliptic boundary value problems. The selection first offers information on building elliptic problem solvers with ELLPACK; presentation and evolution of the club module; and a fourth order accurate fast direct method for the Helmholtz equation. The text then examines the ITPACK project, CMMPAK, solving elliptic problems on an array processor system, and parallel architectures for iterative methods on adaptive, block structured grids. Topics include adaptive solution algorithm, data structure, elliptic problem solvers, input data, and vector ITPACK. The publication ponders on conjugate gradient preconditioners for vector and parallel processors; an algebra for systolic computation; and an incomplete-Cholesky factorization by a matrix partition algorithm. The book also tackles the numerical solution of a model equation near the onset of the Rayleigh-Benard instability; numerical methods for solving coupled semiconductor equations on a minicomputer; and analysis of nonlinear elliptic systems arising in reaction/diffusion modeling. The selection is highly recommended for researchers interested in 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
- Edition: 1
- Published: January 28, 1984
- No. of pages (eBook): 588
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483236216
- eBook ISBN: 9781483263397
Read Elliptic Problem Solvers on ScienceDirect