Sentence examples for boundary operator from inspiring English sources
The new boundary operator is compared with the second-order Engquist and Majda boundary operator and with several fluid/structure decoupling approximation techniques in the determination of scattering amplitudes.
The boundary operator approach introduced in this chapter overcomes this difficulty with the price paid for the more challenging block tracing algorithms, which, however, is paid once and for all at the pre-processing stage of the problem solution.
Expressing the eigenfunctions by means of an ansatz based on the single layer boundary operator, the Zaremba eigenproblem is transformed into a nonlinear equation for the eigenvalue μ.
This system can be solved recursively in an almost linear time (O(Nlog2N)), but requires the construction of O(N) dense spatial discretizations of the single layer boundary operator for the Helmholtz equation.
We solve the Neumann, Dirichlet and regularity problems through a new boundary operator method which makes use of operators in the functional calculus of an underlaying first order Dirac type operator.
Fundamental is the underlying structure of oriented geometric objects, the relation between these objects through the boundary operator and how this defines the exterior derivative, representing the grad, curl and div, through the generalized Stokes theorem.
Boundary operators are then developed for two-dimensional electromagnetic propagation in the xy-plane.
We give boundary operators which are stable for the linear advection equation.
The Leray transform and related boundary operators are studied for a class of convex Reinhardt domains in C2.
The problem with outflow boundary operators of extrapolation type at artificial boundaries with errors in the boundary data of order one will be investigated.
The defect of the boundary operators in the inconsistently defined discrete-adjoint problem leads to oscillations and becomes evident with the additional insight of the continuous-adjoint approach.
