On boundary element methods for solving elliptic boundary value problems
On some nonlinear potential problems.
High regularity of the solution of a nonlinear parabolic boundary-value problem.
Pointwise convergence of some boundary element methods. Part II
Some examples concerning applicability of the Fredholm-Radon method in potential theory
Simple examples of bounded domains are considered for which the presence of peculiar corners and edges in the boundary causes that the double layer potential operator acting on the space of all continuous functions on can for no value of the parameter be approximated (in the sub-norm) by means of operators of the form (where is the identity operator and is a compact linear operator) with a deviation less then ; on the other hand, such approximability turns out to be possible for...
On boundary integral equations of the first kind for the bi-laplacian in a polygonal plane domain
The far-field modelling of transonic compressible flows
We present a method for the construction of artificial far-field boundary conditions for two- and three-dimensional exterior compressible viscous flows in aerodynamics. Since at some distance to the surrounded body (e.g. aeroplane, wing section, etc.) the convective forces are strongly dominant over the viscous ones, the viscosity effects are neglected there and the flow is assumed to be inviscid. Accordingly, we consider two different model zones leading to a decomposition of the original flow...
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