Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. (English)
[J] RAIRO, Modélisation Math. Anal. Numér. 19, 519-557 (1985). ISSN 0764-583X

The mixed method technique is applied for the approximation of the first boundary value problem for the polyharmonic equation. The problem is reformulated as a lower order system of equations so that a conforming finite element method can be used with only continuous finite elements. The linear system of equations resulting from the Galerkin method applied to the reformulated problem is easily preconditioned and efficiently solved by the conjugate gradient method. \par Appropriate Lagrange multipliers are introduced so that the iteration scheme produced involves only a sequence of second order boundary problems with natural boundary conditions.
[N.F.F.Ebecken]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N15 Error bounds (BVP of PDE)
31A30 Biharmonic (etc.) functions and equations (two-dim.)
35J40 Higher order elliptic equations, boundary value problems

Keywords: mixed methods; error estimates; polyharmonic equation; conforming finite element method; Galerkin method; conjugate gradient method; Lagrange multipliers

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]