Substructuring Methods for Parabolic Problems
Substructuring Methods for Parabolic Problems
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In our eReader you can find the full English version of the book. Read Substructuring Methods for Parabolic Problems 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 Substructuring Methods for Parabolic Problems
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We represent w as w = w\ ■]- W2 -\- w:i where w^ is equal to w on side Vij of fi, including one of its end points x, j and zero on 50, \ (r, j U {a^jj})- Below, we construct w^ such that H o (3. 7) b, {wj, Wj) < C{\ ^\og— Ybj{u, u), j =1, 2, 2, where bj{u, u) is defined for the iV-type fij with side T, j, i. E. R, j = fi, fl fi_, . Summing this with respect to j and using (3. 6) we obtain (3. 5). To construct the w. , we first extend the function u, given in the A'^-type substructures Qj, to a function Wj defined in a larger region G containing the Z?-type substructure fl, and tlie iV-type substructure flj, such that w-j = u in 0^, lij £ Hq{G) and II^jIIl2(g) < C||w||L2(nj), \wj\h^g) < C'i"l//'(nj) • The function Wj is not a finite element function in general. Using the extension theorem from [8], we construct a finite element function Wjh such that (3-8) II^j/iIIl^cg) < C'||u||£, 2(f^^), \wjk\HHG) < C\u\fji(Q^) ■ Let ^ij be a harmonic function in Q, defined by its values on c)Q, .
What to read after Substructuring Methods for Parabolic Problems?
You can find similar books in the "Read Also" column, or choose other free books by Maksymilian Dryja to read online
To quickly assess the difficulty of the text, read a short excerpt:
We represent w as w = w\ ■]- W2 -\- w:i where w^ is equal to w on side Vij of fi, including one of its end points x, j and zero on 50, \ (r, j U {a^jj})- Below, we construct w^ such that H o (3. 7) b, {wj, Wj) < C{\ ^\og— Ybj{u, u), j =1, 2, 2, where bj{u, u) is defined for the iV-type fij with side T, j, i. E. R, j = fi, fl fi_, . Summing this with respect to j and using (3. 6) we obtain (3. 5). To construct the w. , we first extend the function u, given in the A'^-type substructures Qj, to a function Wj defined in a larger region G containing the Z?-type substructure fl, and tlie iV-type substructure flj, such that w-j = u in 0^, lij £ Hq{G) and II^jIIl2(g) < C||w||L2(nj), \wj\h^g) < C'i"l//'(nj) • The function Wj is not a finite element function in general. Using the extension theorem from [8], we construct a finite element function Wjh such that (3-8) II^j/iIIl^cg) < C'||u||£, 2(f^^), \wjk\HHG) < C\u\fji(Q^) ■ Let ^ij be a harmonic function in Q, defined by its values on c)Q, .
What to read after Substructuring Methods for Parabolic Problems?
You can find similar books in the "Read Also" column, or choose other free books by Maksymilian Dryja to read online
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