Two‐level domain decomposition preconditioning for the  p ‐version finite element method in three dimensions | Zendy

Mandel Jan | Zendy

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Two‐level domain decomposition preconditioning for the p ‐version finite element method in three dimensions

Author(s) -

Mandel Jan

Publication year - 1990

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620290513

Subject(s) - preconditioner , domain decomposition methods , parallelizable manifold , finite element method , convergence (economics) , mathematics , bounded function , stiffness matrix , mixed finite element method , computation , stiffness , mortar methods , extended finite element method , mathematical optimization , mathematical analysis , algorithm , iterative method , structural engineering , engineering , economics , economic growth

This paper presents a flexible approach to domain decomposition preconditioning for problems expressed in terms of local stiffness matrices of subdomains. Evaluation of the preconditioner requires fully parallelizable local computations and the solution of a global auxiliary problem with few variables per subdomain. Convergence factors can be bounded using properties of the local stiffness matrices only. The method is applied to the p ‐version finite element method for three‐dimensional elasticity. We treat each element as a subdomain and compute explicit convergence bounds.

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