Changing the domain of a boundary value problem
Ta Van Dinh
Abstract
Open-access reader
Ta Van Dinh
Abstract
Open-access reader
We try to replace a given boundary value problem on a multidimensional domain with nonsmooth boundary by another one on an approximative domain with smooth enough boundary. The convergence of the solution of the approximative problem to that of the given problem is proved.
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We try to replace a given boundary value problem on a multidimensional domain with nonsmooth boundary by another one on an approximative domain with smooth enough boundary. The convergence of the solution of the approximative problem to that of the given problem is proved.
Key concepts: Domain (mathematical analysis), Boundary value problem, Boundary (topology), Convergence (economics), Mathematics, Applied mathematics, Mathematical analysis, Mathematical optimization