Error analysis for Galerkin POD approximation of the nonstationary Boussinesq equations | Zendy

Ravindran S.S. | Zendy

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Error analysis for Galerkin POD approximation of the nonstationary Boussinesq equations

Author(s) -

Ravindran S.S.

Publication year - 2011

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20602

Subject(s) - mathematics , galerkin method , discretization , error analysis , partial differential equation , point of delivery , bounded function , euler's formula , backward euler method , domain (mathematical analysis) , mathematical analysis , scheme (mathematics) , euler equations , finite element method , physics , biology , agronomy , thermodynamics

In this article, we study error estimates for approximate solutions of POD Galerkin type for the equations for the motion of a nonstationary viscous thermally conducting fluid in a bounded domain. Time discretization is based on backward Euler scheme. We study both the fully implicit and semi‐implicit versions of this scheme. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1639‐1665, 2011

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