Boundary integral equations. (Russian) Zbl 0691.45002
The work contains the following chapters: the theory of harmonic potentials, integral equations for Lamé an Stokes systems, other applications of the boundary integral equations method (biharmonic equation and systems of biharmonic equations, heat equation, wave equation, etc.), the integral equations of potential theory in the spaces C and Lp (the Fredholm-Radon theory) and boundary integral equations on piecewise - smooth surfaces.
The work distinguishes itself by a high mathematical level. Moreover, the last chapter treats some questions rarely studied in scientific literature. The!work is an extremely good support for all those interested in boundary element method.
The work distinguishes itself by a high mathematical level. Moreover, the last chapter treats some questions rarely studied in scientific literature. The!work is an extremely good support for all those interested in boundary element method.
Reviewer: C.I.Gheorghiu
MSC:
| 45E10 | Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) |
| 45-02 | Research exposition (monographs, survey articles) pertaining to integral equations |
| 65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
| 65R20 | Numerical methods for integral equations |
| 35J40 | Boundary value problems for higher-order elliptic equations |
| 31A30 | Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions |
| 35C15 | Integral representations of solutions to PDEs |
| 35K05 | Heat equation |
| 35L05 | Wave equation |
