Sentence examples for coefficient problems from inspiring English sources

Three classes of inverse coefficient problems arising in engineering mechanics and computational material science are considered.

We prove that the discrete approximation is stable, conservative and, for constant coefficient problems, maintains the free-stream preservation property.

The results obtained in the paper are interesting and useful, and can be extended to other more general inverse coefficient problems of degenerate PDEs.

We prove that conservative and stable formulations for variable coefficient problems require a boundary and interface conforming grid and exact numerical mimicking of integration-by-parts. Finally, we comment on how the conclusions from the linear analysis carry over to the nonlinear setting.

We find some properties, including inclusion properties, Fekete-Szegö problem and coefficient problems of inverse functions.

In this section, we investigate coefficient problems for functions in the class S.

The present work focuses on the extensions of this approach to the variable coefficient problem.

The estimation of a concentration-dependent diffusion coefficient in a drying process is known as an inverse coefficient problem.

We consider the inverse coefficient problem of locating the interface positions arising in frequency sounding of layered media.

We extend this to other norms on matrices and present an abstract version of the coefficient problem.

We demonstrate the efficiency of our proposed multi-scale methods through several numerical examples including a multi-scale coefficient problem, a high-contrast interface problem, and a convection-dominated diffusion problem.