Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach
نویسندگان
چکیده
منابع مشابه
Convolution quadrature for the wave equation with impedance boundary conditions
We consider the numerical solution of the wave equation with impedance boundary conditions and start from a boundary integral formulation for its discretization. We develop the generalized convolution quadrature (gCQ) to solve the arising acoustic retarded potential integral equation for this impedance problem. For the special case of scattering from a spherical object, we derive representation...
متن کاملTransparent Boundary Conditions for Wave Propagation on Unbounded Domains
The numerical solution of the time dependent wave equation in an unbounded domain generally leads to a truncation of this domain, which requires the introduction of an artificial boundary with associated boundary conditions. Such nonreflecting conditions ensure the equivalence between the solution of the original problem in the unbounded region and the solution inside the artificial boundary. W...
متن کاملFast convolution quadrature based impedance boundary conditions
We consider an eddy current problem in time-domain relying on impedance boundary conditions on the surface of the conductor(s). We pursue its full discretization comprising (i) a finite element Galerkin discretization by means of lowest order edge elements in space, and (ii) temporal discretization based on Runge-Kutta convolution quadrature (CQ) for the resulting Volterra integral equation in ...
متن کاملRunge-Kutta convolution quadrature for operators arising in wave propagation
An error analysis of Runge-Kutta convolution quadrature is presented for a class of nonsectorial operators whose Laplace transform satisfies, besides the standard assumptions of analyticity in a half-plane Re s > σ0 and a polynomial bound O(s 1) there, the stronger polynomial bound O(s2) in convex sectors of the form | arg s| ≤ π/2 − θ < π/2 for θ > 0. The order of convergence of the Runge-Kutt...
متن کاملAbsorbing boundary conditions for electromagnetic wave propagation
In this paper, the theoretical perfectly absorbing boundary condition on the boundary of a half{space domain is developed for the Maxwell system by considering the system in whole instead of considering each component of the electromagnetic elds individually. This boundary condition allows any wave motion generated within the domain to pass through the boundary of the domain without generating ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2020
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-020-01145-9