Multiplier spaces for the mortar finite element method in three dimensions Academic Article

abstract

• We consider the construction of multiplier spaces for use with the mortar finite element method in three spatial dimensions on globally or locally quasi-uniform meshes. A set of abstract conditions is given for the multiplier spaces which are sufficient to guarantee a stable and convergent mortar approximation. Three examples of multipliers satisfying these conditions are presented. The first one is a dual basis example, while the remaining two are based on finite volumes. Finally, the results of computational examples illustrating the theory are reported.

authors

• Lazarov, Raytcho
• Pasciak, Joseph

published proceedings

• SIAM JOURNAL ON NUMERICAL ANALYSIS

author list (cited authors)

• Kim, C., Lazarov, R. D., Pasciak, J. E., & Vassilevski, P. S.

citation count

• 65

complete list of authors

• Kim, C||Lazarov, RD||Pasciak, JE||Vassilevski, PS

publication date

• January 2001

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Numerical Analysis  Journal

keywords

• Domain Decomposition
• Finite Element Method
• Lagrange Multipliers
• Mortar

Digital Object Identifier (DOI)

• 10.1137/S0036142900367065

URI

• https://hdl.handle.net/1969.1/182688

start page

• 519

end page

• 538

volume

• 39

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1137%2Fs0036142900367065