An Aditive Schwarz Method for the P Version Finite Element Method
An Aditive Schwarz Method for the P Version Finite Element Method
The book An Aditive Schwarz Method for the P Version Finite Element Method was written by author Here you can read free online of An Aditive Schwarz Method for the P Version Finite Element Method book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is An Aditive Schwarz Method for the P Version Finite Element Method a good or bad book?
Where can I read An Aditive Schwarz Method for the P Version Finite Element Method for free?
In our eReader you can find the full English version of the book. Read An Aditive Schwarz Method for the P Version Finite Element Method Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book An Aditive Schwarz Method for the P Version Finite Element Method
In our eReader you can find the full English version of the book. Read An Aditive Schwarz Method for the P Version Finite Element Method Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book An Aditive Schwarz Method for the P Version Finite Element Method
What reading level is An Aditive Schwarz Method for the P Version Finite Element Method book?
To quickly assess the difficulty of the text, read a short excerpt:
We show that the condition number of the ASM iteration operator is bounded by a constant independent of p. The proof is similar to the one in Dryja and Widlund [4] and is based on Lions' partitioning lemma.
This paper is organized as follows. In Section 2, we define a model problem and introduce its discretization with the p-version finite element method. In Section 3, we review the basic framework of the ASM and apply it to our model problem with square elements in two dimensions. An ASM using... brick-shaped elements in three dimensions is considered in Section 4. For an example of a method similar to ours, but using the h-version finite element method, see Bramble et al. , [2].
2 The Model Problem.
We consider a model problem for linear, self adjoint, second order elliptic problems, on a bounded Lipschitz region Q. The discrete problem is given by the p-version finite element method. For simplicity, we first consider the following problem in R^: -Au = f in fi, u = on dCt .
The standard variational formulation of this problem is : Find u e V = H^iQ) such that a(u, v) = f{v), V uG F, where the bilinear form a(u, v) = / Vu • Vv dx Jn defines a semi-norm |w|//i(fi) = (a{u, u))^/'^ in H\Q), and a norm in V = H^{il).
What to read after An Aditive Schwarz Method for the P Version Finite Element Method?
You can find similar books in the "Read Also" column, or choose other free books by Luca F Pavarino to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
We show that the condition number of the ASM iteration operator is bounded by a constant independent of p. The proof is similar to the one in Dryja and Widlund [4] and is based on Lions' partitioning lemma.
This paper is organized as follows. In Section 2, we define a model problem and introduce its discretization with the p-version finite element method. In Section 3, we review the basic framework of the ASM and apply it to our model problem with square elements in two dimensions. An ASM using... brick-shaped elements in three dimensions is considered in Section 4. For an example of a method similar to ours, but using the h-version finite element method, see Bramble et al. , [2].
2 The Model Problem.
We consider a model problem for linear, self adjoint, second order elliptic problems, on a bounded Lipschitz region Q. The discrete problem is given by the p-version finite element method. For simplicity, we first consider the following problem in R^: -Au = f in fi, u = on dCt .
The standard variational formulation of this problem is : Find u e V = H^iQ) such that a(u, v) = f{v), V uG F, where the bilinear form a(u, v) = / Vu • Vv dx Jn defines a semi-norm |w|//i(fi) = (a{u, u))^/'^ in H\Q), and a norm in V = H^{il).
What to read after An Aditive Schwarz Method for the P Version Finite Element Method?
You can find similar books in the "Read Also" column, or choose other free books by Luca F Pavarino to read onlineMoreLess
Read book An Aditive Schwarz Method for the P Version Finite Element Method for free
Write Review:
Guest
Read Also
9 / 10
User Reviews: