A priori estimates for two multiscale finite element methods using multiple global fields to wave equations Academic Article

abstract

• We consider a scalar wave equation with nonseparable spatial scales. If the solution of the wave equation smoothly depends on some global fields, then we can utilize the global fields to construct multiscale finite element basis functions. We present two finite element approaches using the global fields: partition of unity method and mixed multiscale finite element method. We derive a priori error estimates for the two approaches and theoretically investigate the relation between the smoothness of the global fields and convergence rates of the approximations for the wave equation. 2011 Wiley Periodicals, Inc.

authors

• Efendiev, Yalchin

published proceedings

• NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

author list (cited authors)

• Jiang, L., & Efendiev, Y.

citation count

• 12

complete list of authors

• Jiang, Lijian||Efendiev, Yalchin

publication date

• November 2012

publisher

• Wiley  Publisher

published in

• Numerical Methods for Partial Differential Equations  Journal

keywords

• A Priori Error Estimates
• Mixed Multiscale Finite Element Method
• Partition Of Unity Method
• Wave Equations

Digital Object Identifier (DOI)

• 10.1002/num.20706

start page

• 1869

end page

• 1892

volume

• 28

issue

• 6

URL

• http://dx.doi.org/10.1002/num.20706