This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory. The governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. The Trefftz method employs the complete set of solu...

where η is a N(0, 1) random variable independent of B and L denotes the convergence in law. This result has been first proved in [3] by using the method of moments. In [4] we gave a simple proof based on Clark-Ocone formula and an asymptotic version of Knight’s theorem (see Revuz and Yor [9], Theorem (2.3), page 524). Another simple proof of this result with the techniques of stochastic analysi...

We study convergence of a boundary integral method for 3D interfacial flow with surface tension when the fluid velocity is given by Darcy’s Law. The method is closely related to a previous method developed and implemented by Ambrose, Siegel, and Tlupova, in which one of the main ideas is the use of an isothermal parameterization of the free surface. We prove convergence by proving consistency a...