Investigating the Use of pMatlab to Solve the Poisson Equation on the Cluster maya

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pMatlab_HPCF2014.pdf (196.95 KB)

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https://userpages.umbc.edu/~gobbert/papers/pMatlab_HPCF2014.pdf

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http://hdl.handle.net/11603/11408

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UMBC Mathematics and Statistics Department
UMBC Faculty Collection

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Date

2014

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technical report
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Subjects

Parallel Computing
pMatlab
Finite Difference Method
Conjugate Gradient Method
Poisson Equation
UMBC High Performance Computing Facility (HPCF)

Abstract

Many physical phenomena can be described by partial differential equations which can be discretized to form systems of linear equations. We apply the finite difference method to the Poisson equation with homogeneous Dirichlet boundary conditions, which yields a system of linear equations with a large sparse system matrix. We implement pMatlab code which utilizes the conjugate gradient method to solve this system. We do not recommend the use of pMatlab at this time as we find that it is very limited, its implementation is highly complex and the results are inconsistent.