Generalized extended to the limit sparse factorization techniques for solving unsymmetric finite element systems

DOI10.1007/BF02243576zbMath0523.65019OpenAlexW435955013MaRDI QIDQ1056521

Elias A. Lipitakis

Publication date: 1984

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243576

zbMATH Keywords

Chebyshev methodsdiagonally dominantsparse LU factorizationfinite difference systemsfinite element systemgeneralized extended to the limit sparse factorizationsparse unsymmetric matrix

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Numerical solution of three-dimensional boundary-value problems by generalized approximate inverse matrix techniques ⋮ A class of explicit preconditioned conjugate gradient methods for solving large finite element systems ⋮ The use of the generalized extended to the limit sparse factorization techniques for the solution of non-linear elliptic and parabolic difference equations ⋮ On the GPGPU parallelization issues of finite element approximate inverse preconditioning ⋮ Explicit semi-direct methods based on approximate inverse matrix techniques for solving boundary-value problems on parallel processors ⋮ Unnamed Item

Cites Work

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• Normalized factorization procedures for the solution of self-adjoint elliptic partial differential equations in three-space dimensions
• Solving non-linear elliptic difference equations by extendable sparse factorization procedures
• A normalized implicit conjugate gradient method for the solution of large sparse systems of linear equations
• Iterative refinement of the solution of a positive definite system of equations
• Solving Sparse Symmetric Sets of Linear Equations by Preconditioned Conjugate Gradients
• Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
• A frontal solution program for finite element analysis

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