Sentence examples for reference problem from inspiring English sources
A reference problem of directional solidification of a dilute germanium alloy in a horizontal open-boat configuration is considered.
These methods are then applied for the approximation of the solution of a reference problem well known in the nuclear engineering literature.
As a first reference problem an isotropic circular plate, wetted uniformly at its center, is solved both analytically and numerically for the in-plane stress distribution, the buckling threshold, and the resulting buckling mode.
A careful convergence study with resolutions from 20 to 140 points per wavelength provides accurate extrapolated results for this non-trivial test case, which makes it possible to use as a reference problem for scattering codes that model both electric and magnetic losses.
To solve the lack of reference problem, we choose some video sequences in which the camera has been fixed without any intentional movement.
In the comparison with the literature, mostly focused on convex SDP approximations, the chosen approach guarantees adherence to the reference problem, and it also requires a smaller local computational complexity effort.
The efficiency of the parallel tabu search algorithm is demonstrated by an extensive comparative test including well-known reference problems and loading procedures from other authors.
The analysis method focuses on the FEM stress at the interface end by applying the same mesh pattern to the unknown and reference problems.
After this successful validation, steady-state calculations are performed for a coaxial pipe mixer using two different reference problems available in the literature.
Numerical experiments show the performance of the computational approach on various flow reference problems: dam break, sloshing of a tank filled with water, water water impact and finally a case of Rayleigh Taylor instability.
Additionally, we provide all the derivations of the required sensitivities and the details pertaining to the geometries examined in the benchmarking, to provide helpful reference problems for 3D shape optimization.
