Elliptic Problem Solvers. Volume II

✍ Scribed by Arthur Schoenstadt, Garrett Birkhoff

• Publisher: Elsevier Inc, Academic Press
• Year: 1984
• Tongue: English
• Leaves: 553
• Edition: 1st
• Category: Library

✦ Table of Contents

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages ix-xi
Preface, Page xiii
BUILDING ELLIPTIC PROBLEM SOLVERS WITH ELLPACK, Pages 3-22, John R. Rice
PRESENTATION AND EVOLUTION OF THE CLUB MODULEF: A LIBRARY OF COMPUTER PROCEDURES FOR FINITE ELEMENT ANALYSIS, Pages 23-33, D. Bégis, F. Hecht, M. Vidrascu
A FOURTH ORDER ACCURATE FAST DIRECT METHOD FOR THE HELMHOLTZ EQUATION, Pages 35-44, Ronald F. Boisvert
The (New) Yale Sparse Matrix Package, Pages 45-52, Stanley C. Eisenstat, Howard C. Elman, Martin H. Schultz, Andrew H. Sherman
THE ITPACK PROJECT: PAST, PRESENT, AND FUTURE, Pages 53-63, David R. Kincaid, David M. Young
CMMPAK - THE CAPACITANCE MATRIX SOFTWARE PACKAGE, Pages 65-74, Wlodzimierz Proskurowski
SOLVING ELLIPTIC PROBLEMS ON AN ARRAY PROCESSOR SYSTEM, Pages 77-92, Martin H. Schultz
Parallel Architectures for Iterative Methods on Adaptive, Block Structured Grids, Pages 93-104, Dennis Gannon, John Van Rosendale
HIGHLY CONCURRENT ALGORITHMS FOR SOLVING LINEAR SYSTEMS OF EQUATIONS, Pages 105-126, Lennart Johnsson
CONJUGATE GRADIENT PRECONDITIONERS FOR VECTOR AND PARALLEL PROCESSORS, Pages 127-139, Thomas L. Jordan
AN ALGEBRA FOR SYSTOLIC COMPUTATION, Pages 141-160, H.T. Kung, W.T. Lin
AN INCOMPLETE-CHOLESKY FACTORIZATION BY A MATRIX PARTITION ALGORITHM, Pages 161-173, Edna Reiter, Garry Rodrigue
A FAST POISSON SOLVER FOR MULTIPROCESSORS, Pages 175-186, A.H. Sameh
SYSTOLIC ARRAYS: HIGH PERFORMANCE PARALLEL MACHINES FOR MATRIX COMPUTATION, Pages 187-194, Robert Schreiber
A SURVEY OF RECENT RESULTS ON ITERATIVE METHODS FOR SOLVING LARGE SPARSE LINEAR SYSTEMS, Pages 197-217, Richard S. Varga
NUMERICAL ALGORITHMS FOR INDEFINITE PROBLEMS, Pages 219-232, O. Axelsson
PRECONDITIONED CONJUGATE GRADIENT METHODS FOR THE HELMHOLTZ EQUATION, Pages 233-243, Alvin Bayliss, Charles I. Goldstein, Eli Turkel
SOLVING ELLIPTIC PROBLEMS ON REGIONS PARTITIONED INTO SUBSTRUCTURES, Pages 245-255, Petter E. Bjørstad, Olof B. Widlund
THE AD-HOC SOR METHOD: A LOCAL RELAXATION SCHEME, Pages 257-269, L.W. Ehrlich
ITERATIVE METHODS FOR NON-SELF-ADJOINT ELLIPTIC PROBLEMS, Pages 271-283, Howard C. Elman
IMPLICIT BLOCK EXPLICIT OVERRELAXATION SCHEMES, Pages 285-300, David J. Evans
DYNAMIC ACCELERATION OF NONLINEAR ITERATIONS, Pages 301-313, James M. Hyman, Thomas A. Manteuffel
NAVIER-STOKES PRESSURE EQUATION ITERATION, Pages 315-322, Eugene L. Wachspress
ACCELERATING NONSYMMETRIZABLE ITERATIVE METHODS, Pages 323-342, David M. Young, Kang C. Jea, David R. Kincaid
ADAPTIVE FINITE ELEMENT PROCESSES IN STRUCTURAL MECHANICS, Pages 345-377, Ivo Babuška, Werner C. Rheinboldt
FINITE ELEMENT APPROXIMATIONS TO COMPRESSIBLE FLOW PROBLEMS, Pages 379-393, George J. Fix
SOLVING ELLIPTIC PROBLEMS BY DOMAIN DECOMPOSITION METHODS WTIH APPLICATIONS, Pages 395-426, Q.V. Dihn, R. Glowinski, J. Périaux
COMPUTING ADDED MASS COEFFICIENTS, Pages 427-437, G. Birkhoff, John F. Brophy, R.E. Lynch
A PRIORI LOCAL GRID REFINEMENT IN THE MULTIGRID METHOD, Pages 439-451, Joel E. Dendy Jr.
ABSTRACT MULTI-GRID WITH APPLICATIONS TO ELLIPTIC BOUNDARY-VALUE PROBLEMS, Pages 453-466, Craig C. Douglas
A NEW ORDERING SCHEME FOR THE HERMITE BICUBIC COLLOCATION EQUATIONS, Pages 467-480, Wayne R. Dyksen, John R. Rice
SOLUTION METHODS FOR THE FINITE ELEMENT EQUATIONS IN NONLINEAR SHELL ANALYSIS, Pages 481-490, Kelton Flinn, Lois Mansfield
DISCRETIZATION AND MULTILEVEL SOLUTION TECHNIQUES FOR NONLINEAR ELLIPTIC SYSTEMS, Pages 493-505, Randolph E. Bank, Donald J. Rose
ANALYSIS OF NONLINEAR ELLIPTIC SYSTEMS ARISING IN REACTION/DIFFUSION MODELING, Pages 507-520, Joseph W. Jerome
NUMERICAL METHODS FOR SOLVING COUPLED SEMICONDUCTOR EQUATIONS ON A MINICOMPUTER, Pages 521-530, James L. Blue, Charles L. Wilson
Numerical Solution of a Model Equation Near the Onset of the Rayleigh-Bénard Instability, Pages 531-543, P.E. Bjørstad, W.M. Coughran Jr., H.S. Greenside, D.J. Rose, N.L. Schryer
APPROXIMATION OF A NONSYMMETRIC, SINGULARLY PERTURBED PROBLEM, Pages 545-555, E.C. Gartland Jr.
NUMERICAL SOLUTION OF A CONFINED LAMINAR DIFFUSION FLAME, Pages 557-568, Mitchell D. Smooke, Reginald E. Mitchell, Joseph F. Grcar
Index, Pages 569-573