
A Shape calculus approach for time harmonic solidfluid interaction problem in stochastic domains
The present paper deals with the interior solidfluid interaction proble...
read it

A higher order perturbation approach for electromagnetic scattering problems on random domains
We consider timeharmonic electromagnetic scattering problems on perfect...
read it

An integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions
While an integration by parts formula for the bilinear form of the hyper...
read it

Approximate solution of the Cauchy problem for a firstorder integrodifferential equation with solution derivative memory
We consider the Cauchy problem for a firstorder evolution equation with...
read it

Helmholtz scattering by random domains: firstorder sparse boundary elements approximation
We consider the numerical solution of timeharmonic acoustic scattering ...
read it

A solution to a linear integral equation with an application to statistics of infinitely divisible moving averages
For given measurable functions g,h:R^d →R and a (weighted) L^2function ...
read it

On moments of exponential functionals of additive processes
Let X = (X t) t>0 be a realvalued additive process, i.e., a process wit...
read it
A parabolic equation on domains with random boundaries
A heat equation with uncertain domains is thoroughly investigated. Statistical moments of the solution is approximated by the counterparts of the shape derivative. A rigorous proof for the existence of the shape derivative is presented. Boundary integral equation methods are used to compute statistical moments of the shape derivative.
READ FULL TEXT
Comments
There are no comments yet.