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Article information
2005 , Volume 10, ¹ 2, p.106-113
Petrovskaya N.B.
Implementation of Newton's method in high order schemes for steady state problems
High order discontinuous Galerkin discretization schemes are considered for steady state problems. We discuss the issue of oscillations arising when Newton's method is applied to obtain a steady state solution. It is shown that flux approximation near flux extrema may produce spurious oscillations propagating over the computational domain. The control over the numerical flux in the problem allows us to obtain non-oscillating convergent solutions.
[full text]
Keywords: Newton method, high order schemes, flux approximation
Author(s):
Petrovskaya Natalia Borisovna
PhD.
Position: Research Scientist
Office: Keldysh Institute for Applied Mathematics RAS
Address: Russia, Moscow
Phone Office: (095) 363 64 53
E-mail: PetrovskayaN@yandex.ru
Bibliography link:
Petrovskaya N.B. Implementation of Newton's method in high order schemes for steady state problems // Computational technologies. 2005. V. 10. ¹ 2. P. 106-113
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