The Galerkin boundary node method for magneto-hydrodynamic (MHD) equation.
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| Title: | The Galerkin boundary node method for magneto-hydrodynamic (MHD) equation. |
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| Authors: | Tatari, Mehdi1 mtatari@cc.iut.ac.ir, Ghasemi, Fatemeh1 fatemeh.ghasemi@math.iut.ac.ir |
| Source: | Journal of Computational Physics. Feb2014, Vol. 258, p634-649. 16p. |
| Subjects: | Galerkin methods, Boundary element methods, Magnetohydrodynamics, Mathematical reformulation, Problem solving, Approximate solutions (Logic) |
| Abstract: | Abstract: In this research, a variational reformulation for magneto-hydrodynamic (MHD) problem is derived. Existence and uniqueness of the weak solution are discussed. The Galerkin boundary node method is a boundary meshless method which uses MLS basis functions to approximate solution of problems. This paper tries to apply this method for a variational form of the magneto-hydrodynamic (MHD) problem. Numerical experiments reveal that the method is effective and convenient for this problem. [Copyright &y& Elsevier] |
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| Database: | Engineering Source |
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