Sentence examples for layer potential and from inspiring English sources

We illustrate this by giving sharp trace ideal estimates for the double layer potential and for the first and higher commutators of multiplication operators and Calderon-Zygmund operators.

For the higher order element discretization method, the special concerns are given to the numerical calculations of the single-layer potential, the double layer potential and the solid angle coefficients.

Computational examples are given for the double layer potential and for the Dirichlet problem.

The classical indirect methods for solving them consist in looking for the solution in the form of a double layer potential and a simple layer potential respectively.

In case of no or small jumps of the permittivity, the indirect approach by the single layer potential and the direct formulation based on the Steklov-Poincaré interface equation give good results.

We apply an indirect approach based on the single layer potential and a domain decomposition method based on symmetric approximations of the local Dirichlet to Neumann maps, the so-called Steklov-Poincaré operators, see e.g. [7 10].

The in situ FTIR studies illustrated that the adsorption of (bi sulfate occurs mainly in the double layer potential region, and reaches a maximum around 0.80 V.

In particular, an indirect single layer potential ansatz and a direct formulation based on the Steklov-Poincaré interface equation are considered.

We remark that, by Theorem 6.2, a solution of the traction problem (50) can be written as a double layer potential if, and only if, conditions (54) are satisfied.

The problem was studied by Fabes et al. [16] in the case of arbitrary Lipschitz domains with the range of q restricted, using the layer potential method and Rellich identities.

It turns out that the solution of this problem does exist in the form of a double layer potential if, and only if, the given forces are balanced on each connected component of the boundary.