Mortar element methods for parabolic problems | Zendy

Patel Ajit | Zendy; Pani Amiya K. | Zendy; Nataraj Neela | Zendy

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Mortar element methods for parabolic problems

Author(s) -

Patel Ajit,

Pani Amiya K.,

Nataraj Neela

Publication year - 2008

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.20327

Subject(s) - mathematics , mortar methods , lagrange multiplier , finite element method , mortar , discretization , projection (relational algebra) , backward euler method , partial differential equation , scheme (mathematics) , mathematical analysis , boundary value problem , mixed finite element method , mathematical optimization , algorithm , structural engineering , archaeology , engineering , history

In this article a standard mortar finite element method and a mortar element method with Lagrange multiplier are used for spatial discretization of a class of parabolic initial‐boundary value problems. Optimal error estimates in L ∞ ( L 2 ) and L ∞ ( H 1 )‐norms for semidiscrete methods for both the cases are established. The key feature that we have adopted here is to introduce a modified elliptic projection. In the standard mortar element method, a completely discrete scheme using backward Euler scheme is discussed and optimal error estimates are derived. The results of numerical experiments support the theoretical results obtained in this article. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008

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