Sentence examples for layer potential from inspiring English sources

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.

Let w ξ be the double layer potential (7) with density u ∈ [W1,p] n.

Next we introduce an abstract analog of the single and double layer potential (cf. [29]).

Let u be the simple layer potential with density φ ∈ [L p ] n.

Let w ∈ D 2 be a double layer potential with density ψ ∈ [W1,2] n.

Let u be the simple layer potential (3) with density φ.

They concern the study of the first derivatives of a double layer potential.

In the fluid mechanics setting, these are typically the Stokeslet (the kernel of the single layer potential) or the Stresslet (the kernel of the double layer potential).

We note that, if any constant vector c can be represented by a simple layer potential, then any sufficiently smooth solution of the system Eu = 0 can be represented by a simple layer potential as well (see Section 5 below).

Differently from the more usual approach, the solutions are sought in the form of a simple layer potential for the Dirichlet problem and a double layer potential for the traction problem.

Meanwhile, the singularity of the double-layer potential is eliminated by recasting the principal-value integral of the double-layer potential when the influence coefficient matrix is calculated.