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On Substructuring Algorithms And Solution Techniques For The Numerical Approximation Of Partial Differential Equations by Max D. Gunzburger
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1NASA Technical Reports Server (NTRS) 19860020953: On Substructuring Algorithms And Solution Techniques For The Numerical Approximation Of Partial Differential Equations
By NASA Technical Reports Server (NTRS)
Substructuring methods are in common use in mechanics problems where typically the associated linear systems of algebraic equations are positive definite. Here these methods are extended to problems which lead to nonpositive definite, nonsymmetric matrices. The extension is based on an algorithm which carries out the block Gauss elimination procedure without the need for interchanges even when a pivot matrix is singular. Examples are provided wherein the method is used in connection with finite element solutions of the stationary Stokes equations and the Helmholtz equation, and dual methods for second-order elliptic equations.
“NASA Technical Reports Server (NTRS) 19860020953: On Substructuring Algorithms And Solution Techniques For The Numerical Approximation Of Partial Differential Equations” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19860020953: On Substructuring Algorithms And Solution Techniques For The Numerical Approximation Of Partial Differential Equations
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
“NASA Technical Reports Server (NTRS) 19860020953: On Substructuring Algorithms And Solution Techniques For The Numerical Approximation Of Partial Differential Equations” Subjects and Themes:
- Subjects: ➤ NASA Technical Reports Server (NTRS) - ALGEBRA - LINEAR SYSTEMS - MATRICES (MATHEMATICS) - PARALLEL PROCESSING (COMPUTERS) - SUBSTRUCTURES - SYMMETRY - FINITE ELEMENT METHOD - GAUSSIAN ELIMINATION - HELMHOLTZ VORTICITY EQUATION - PARTIAL DIFFERENTIAL EQUATIONS - STOKES LAW (FLUID MECHANICS) - Gunzburger, M. D. - Nicolaides, R. A.
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19860020953
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