Imaging the earth's interior
A priori estimates for mixed finite element methods for the wave equation
Computer Methods in Applied Mechanics and Engineering
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A multiscale finite element method for elliptic problems in composite materials and porous media
Journal of Computational Physics
A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation
SIAM Journal on Numerical Analysis
Finite Element Methods with B-Splines
Finite Element Methods with B-Splines
A mixed multiscale finite element method for elliptic problems with oscillating coefficients
Mathematics of Computation
A Matrix Analysis of Operator-Based Upscaling for the Wave Equation
SIAM Journal on Numerical Analysis
Accurate multiscale finite element methods for two-phase flow simulations
Journal of Computational Physics
Numerical Approximation of Partial Differential Equations
Numerical Approximation of Partial Differential Equations
Hi-index | 0.00 |
In this paper, we discuss a numerical multiscale approach for solving wave equations with heterogeneous coefficients. Our interest comes from geophysics applications and we assume that there is no scale separation with respect to spatial variables. To obtain the solution of these multiscale problems on a coarse grid, we compute global fields such that the solution smoothly depends on these fields. We present a Galerkin multiscale finite element method using the global information and provide a convergence analysis when applied to solve the wave equations. We investigate the relation between the smoothness of the global fields and convergence rates of the global Galerkin multiscale finite element method for the wave equations. Numerical examples demonstrate that the use of global information renders better accuracy for wave equations with heterogeneous coefficients than the local multiscale finite element method.