Numerical solutions of the Dirichlet problem via a density theorem | Zendy

Whitley Robert | Zendy; Hromadka T. V. | Zendy

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Numerical solutions of the Dirichlet problem via a density theorem

Author(s) -

Whitley Robert,

Hromadka T. V.

Publication year - 1994

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1690100308

Subject(s) - mathematics , dirichlet distribution , subspace topology , dirichlet boundary condition , dirichlet problem , mathematical analysis , boundary value problem , norm (philosophy) , boundary (topology) , political science , law

Under mild conditions a certain subspace M , consisting of functions which are analytic in a simply connected domain Ω and continuous on the boundary Gamma;, is shown to have real parts which are dense, in the sup norm, in the set of all solutions to the Dirichlet problem for continuous boundary data. Similar results hold for L p boundary data. Numerical solutions of sample Dirichlet problems are computed. © 1994 John Wiley & Sons, Inc.

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