A non-linear Richardson algorithm for the solution of elliptic PDE's (Articolo in rivista)

Type
Label
  • A non-linear Richardson algorithm for the solution of elliptic PDE's (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bertoluzza S.(1), Mazet S.(2), Verani M.(3) (2003)
    A non-linear Richardson algorithm for the solution of elliptic PDE's
    in Mathematical models and methods in applied sciences
    (literal)
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  • Bertoluzza S.(1), Mazet S.(2), Verani M.(3) (literal)
Pagina inizio
  • 143 (literal)
Pagina fine
  • 158 (literal)
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  • Impact Factor rivista: 1.340 (literal)
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  • 13 (literal)
Rivista
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  • The algorithm studied here is a prototype of a new class of adaptive algorithm for the adaptive solution of partial differential equation that is becoming increasingly popular. The idea is to fix the number $N$ of degrees of freedoms and to find the best possible approximation of the solution $u$ of a PDE in the nonlinear space of all possible approximations (of a give type) with $N$ degrees of freedoms. This is achieved in this paper by writing down a convergent iterative scheme for the continuous problem, and then forcing the iterate to belong to the non linear approximation space by simply projecting it onto such space. (literal)
Note
  • ISI Web of Science (WOS) (literal)
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  • (1) IMATI-CNR; (2) SILVACO Grenoble Research Center, Montbonnot St. Martin. France (3) Politecnico di Milano (literal)
Titolo
  • A non-linear Richardson algorithm for the solution of elliptic PDE's (literal)
Abstract
  • We prove convergence of a computable adaptive wavelet algorithm for the solution of elliptic PDE's, which combines Richardson type iterations with non linear projection steps. (literal)
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