GALERKIN BOUNDARY INTEGRAL ANALYSIS OF THE GRAD-SHAFRANOV EQUATION - Suarez, Pablo
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Galerkin Boundary Element Method(GBEM) is a powerful technique to solve partial differential equations. In this work the method is presented by solving the axisymmetric Laplace's equation. Later the Grad-Shafranov Equation(GSE) is solved by means of this powerful technique. The GSE is a simplification of ideal MHD in two dimensions. The resulting equation is a nonlinear, elliptic partial differential equation. The GBEM is well suited for solving this type of equations in 'irregular domains' such as unbounded and irregular shape domains.

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Produktbeschreibung
Galerkin Boundary Element Method(GBEM) is a powerful technique to solve partial differential equations. In this work the method is presented by solving the axisymmetric Laplace's equation. Later the Grad-Shafranov Equation(GSE) is solved by means of this powerful technique. The GSE is a simplification of ideal MHD in two dimensions. The resulting equation is a nonlinear, elliptic partial differential equation. The GBEM is well suited for solving this type of equations in 'irregular domains' such as unbounded and irregular shape domains.
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Autorenporträt
Dr. Pablo Ulises Suárez is a member of the Department of Mathematical Sciences at Delaware State Univeristy. Dr. Suárez completed his undergraduate studies at Louisiana State University, Baton Rouge, LA, and completed his Ph.D. in Mathematics at Rensselaer Polytechnic Institute, Troy, NY.