Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems
Let Ω⊂R2 be a polygonal domain, and let Li, i=1,2, be two elliptic operators of the form Liu(x):=−div(Aix∇u(x))+cixu(x)−fix.Motivated by the results in Blanc et al. (2016), we propose a numerical iterative method to compute the numerical approximation to the solution of the minimal problem minL1u,L2...
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| Autores principales: | , , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03770427_v342_n_p133_Agnelli |
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| Sumario: | Let Ω⊂R2 be a polygonal domain, and let Li, i=1,2, be two elliptic operators of the form Liu(x):=−div(Aix∇u(x))+cixu(x)−fix.Motivated by the results in Blanc et al. (2016), we propose a numerical iterative method to compute the numerical approximation to the solution of the minimal problem minL1u,L2u=0in Ω,u=0on ∂Ω.The convergence of the method is proved, and numerical examples illustrating our results are included. © 2018 Elsevier B.V. |
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