Laplace-Fourier-domain dispersion analysis of an average derivative optimal scheme for scalar-wave equation
نویسندگان
چکیده
منابع مشابه
A numerical scheme for space-time fractional advection-dispersion equation
In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed in...
متن کاملScalar Wave Equation Modeling with Time–Space Domain Dispersion-Relation-Based Staggered-Grid Finite-Difference Schemes
The staggered-grid finite-difference (SFD) method is widely used in numerical modeling of wave equations. Conventional SFD stencils for spatial derivatives are usually designed in the space domain. However, when they are used to solve wave equations, it becomes difficult to satisfy the dispersion relations exactly. Liu and Sen (2009c) proposed anewSFDscheme for one-dimensional (1D) scalarwaveeq...
متن کاملHybrid domain decomposition solvers for scalar and vectorial wave equation
We present hybrid finite element methods, which are equivalent to a discontinuous Galerkin method based on the ultra weak variational formulation (UWVF) by Cessenat and Despres. When solving a scalar or vectorial wave equation with hybrid finite elements, normal and tangential continuity of the flux field, respectively, is broken across element interfaces and reinforced again by introducing hyb...
متن کاملa numerical scheme for space-time fractional advection-dispersion equation
in this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. we utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. by using bernstein polynomial basis, the problem is transformed in...
متن کاملFrequency-Domain Modeling Techniques for the Scalar Wave Equation : An Introduction
Frequency-domain finite-difference (FDFD) modeling offers several advantages over traditional timedomain methods when simulating seismic wave propagation, including a convenient formulation within the context of wavefield inversion and a straight-forward extension for adding complex attenuation mechanisms. In this short paper we introduce the FDFD method, develop a simple solver for the scalar ...
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: Geophysical Journal International
سال: 2014
ISSN: 1365-246X,0956-540X
DOI: 10.1093/gji/ggu066