Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0888.65117
Zhang, Tie
The stability and approximation properties of Ritz-Volterra projection and application. I. (English)
[J] Numer. Math., J. Chin. Univ. 6, No.1, 57-76 (1997). ISSN 1004-8979

By adding an integral term to the usual bilinear form on $H^1_0\times H^1_0$ which defines the Ritz projection, the author studies a non-classical $H^1$-projection named here a Ritz-Volterra projection. The main result claims that stability and approximation properties which are valid for the Ritz projection in $W^1_p$ and $L_p$ for $2\le p\le\infty$ also hold for the Ritz-Volterra projection. The proof is based on the Green function technique and on some related estimates.
[O.Titow (Berlin)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N12 Stability and convergence of numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems

Keywords: Ritz projection; Ritz-Volterra projection; stability; Green function technique

Cited in: Zbl 0982.65144

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

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

Advanced Search

Zentralblatt MATH Berlin [Germany]