High-efficiency improved symmetric successive over-relaxation preconditioned conjugate gradient method for solving large-scale finite element linear equations
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Summary
This paper presents a high-efficiency improved symmetric successive over-relaxation (ISSOR) preconditioned conjugate gradient (PCG) method, which maintains the convergence and inherent parallelism consistent with the original form.
- Type
- article
- Published
- 2013-09-18
- Cited by
- 10
- References
- 25
- OpenAlex
- https://openalex.org/W47490452
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:116335232
Keywords
Conjugate gradient method, Finite element method, Relaxation (psychology), Conjugate residual method, Computation
References
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- Efficient iterative solvers for structural dynamics problems
- Iterative solution of linear systems in the 20th century
- Basic Linear Algebra Subprograms for Fortran Usage
- An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix
- An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum
- Parallel SSOR preconditioning implemented on dynamic SMP clusters with communication on the fly
- Row Projection Methods for Large Nonsymmetric Linear Systems
- Sparse matrix computations
- Sparse Matrix Computations
- A generalized SSOR method
- Some numerical experiences on convergence criteria for iterative finite element solvers
- Algorithms for quad-double precision floating point arithmetic
- The finite element method
- Methods of conjugate gradients for solving linear systems
- Mathematics of Computation
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- Development of a parallel FE simulator for modeling the whole trans-scale failure process of rock from meso- to engineering-scale
- Technical note: A successive over-relaxation preconditioner to solve mixed model equations for genetic evaluation.
- The Reconstruction Analysis Based on Minimum Total Variation & Bregman Algorithm
- The Analysis of Compressed Sensing for Total Variation Minimization and Bregman
- Generalized Multi-Symplectic Numerical Implementation of Dynamic Responses for Saturated Poroelastic Timoshenko Beam
- Three-dimensional magnetotelluric modeling in general anisotropic media using nodal-based unstructured finite element method
- 3-D Marine CSEM Modeling in General Anisotropic Media by Using an Adaptive Finite Element Approach Based on the Vector-Scalar Potential
- Low-Complexity Channel Estimation Method Based on ISSOR-PCG for Massive MIMO Systems
- Magnetic emulsions in shear flow under external magnetic fields
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