In particular, we consider boundary element methods, see, e.g., [4 6], for the solution of electrostatic field problems with floating potentials in a multi-dielectric setting.
(b) Besides boundary element methods, see e.g. [32,33,47,48], there might be other (nonlinear) problems, where an optimal efficiency estimate is unknown or cannot even be expected.
Also, the variational principles provide a theoretical basis for numerical techniques such as finite-element method or boundary element method (see [11 14]).
Possible modes are quasi normal modes of the plasmonic nanoparticles, which have recently received considerable interest, or natural oscillation modes of our boundary element method approach (see Methods).
Although ZZ error estimators are strikingly simple and mathematically well-developed for the finite element method, see e.g., [5,6,11,40], they have not been considered for boundary element methods, yet.
In recent years, the numerical methods for the biharmonic eigenvalue problems adopted mainly the conforming finite element method (see [6 9]), the nonconforming finite element method (see [3, 10 12]), and the mixed finite element method (see [13 16]).
Methods of solution of partial differential equations: Laplace transforms, Fourier transforms, wavelet transforms, Green's functions, and boundary element methods.
It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications.
The standard a posteriori error estimates for boundary element methods are obtained from the classical boundary integral equations.
