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Guidotti, Patrick

A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D. (English) Zbl 1030.65122

J. Comput. Phys. 190, No. 1, 325-345 (2003).
The author develops a new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2 D. A number of theorems and illustrations is presented for the theoretical foundation. Finally, an efficient FFP-based preconditioner is used for decomposition. Its application is also indicated in the area of fluid dynamics.
Reviewer: Prabhat Kumar Mahanti (Saint John, NB)

Cited in 3 Documents

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
65F35 Numerical computation of matrix norms, conditioning, scaling
35J25 Boundary value problems for second-order elliptic equations

Keywords:

boundary integral equation; super-algebraic convergence; first kind boundary integral formulation; preconditioning; Dirichlet-to-Neumann map

Software:

Fasthenry
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Full Text: DOI

References:

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