Method of polynomial to solve bi harmonic equation
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➡️Applying a finite difference approximation to a biharmonic equation results in a very ill-conditioned system of equations. This paper examines the conjugate gradient method , used in con junction with the generalized and approximate polynomial preconditionings for solving such linear systems. An approximate polynomial preconditioning is introduced, and is shown to be more efficient than the generalized polynomial preconditionings. This new technique provides a simple but effective
preconditioning polynomial, which is based
on another coefficient matrix rather than the original matrix operator as commonly used.
✌️ I THINK IT HELPED YOU ✌️
➡️Applying a finite difference approximation to a biharmonic equation results in a very ill-conditioned system of equations. This paper examines the conjugate gradient method , used in con junction with the generalized and approximate polynomial preconditionings for solving such linear systems. An approximate polynomial preconditioning is introduced, and is shown to be more efficient than the generalized polynomial preconditionings. This new technique provides a simple but effective
preconditioning polynomial, which is based
on another coefficient matrix rather than the original matrix operator as commonly used.
✌️ I THINK IT HELPED YOU ✌️
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