At present, the main numerical modelling techniques for acoustic and (coupled) vibro-acoustic analysis are based on element based techniques, such as the finite element and boundary element method. Due to the huge computational efforts, the use of these deterministic techniques is practically restricted to lowfrequency applications. For high-frequency modelling, some alternative, probabilistic ...

The main aim of this work was to provide heat transfer calculations flow boiling in mini-channels with an application for the Trefftz functions. test section comprised five parallel a depth 1 mm, common heated wall. For estimation temperature uncertainty, during experiment measurement performed use K-type thermoelements and infrared camera two simultaneously. According Guide Expression Uncertai...

We derive and analyze new boundary element (BE) based finite element discretizations of potential-type, Helmholtz and Maxwell equations on arbitrary polygonal and polyhedral meshes. The starting point of this discretization technique is the symmetric BE Domain Decomposition Method (DDM), where the subdomains are the finite elements. This can be interpreted as a local Trefftz method that uses PD...

A space-time Trefftz discontinuous Galerkin method for the Schr\"odinger equation with piecewise-constant potential is proposed and analyzed. Following spirit of methods, trial test spaces are spanned by non-polynomial complex wave functions that satisfy Schro\"odinger locally on each element mesh. This allows a significant reduction in number degrees freedom comparison full polynomial spaces. ...

The present paper proposes a new regularised Trefftz method to recover the boundary value on non-accessible of an annulus from overdetermined data accessible that annulus. Considering available have Fourier expansion, we consider Tikhonov damping factor in constructing our regularized scheme, which satisfies problem. At same time, convergence estimates for solution will be established under ass...