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Título:
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A multigrid algorithm for the p-Laplacian
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Autores:
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Infante del Río, Juan Antonio ;
Bermejo, R.
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Tipo de documento:
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texto impreso
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Editorial:
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Society for Industrial and Applied Mathematics, 2000-05
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We introduce a full approximation storage (FAS) multigrid algorithm to find the finite element solution for a class of nonlinear monotone elliptic problems. Since the solution of the problem is equivalent to minimize a strictly convex functional, we use a Polak-Ribiere conjugate gradient method as the nonlinear smoother in our algorithm. The advantage in so doing is that we do not have to calculate derivatives of operators. We prove local convergence of our algorithm and illustrate its performance by solving benchmark problems.
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