03: Let V = H(n), n≤ R, a(u,v) = (f, v) a(u,v) = Vu. Vv dx, and (f,v) = (a) Show that the finite element solution un unique. (b) Prove that || ≤ch ||||2 الكاملا (c) Given the triangulation of figure, determine the basis function and compute the integrals: So 4 dx, Sox where a (u,v) >, & ill 2 fvdx, v .V, dx. (0,1) V. V dx., SV. Vz dx. (0,0) (1,0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 10E
Question
03: Let V = H(n), n≤ R,
a(u,v) = (f, v)
a(u,v) = Vu. Vv dx, and (f,v) =
(a) Show that the finite element solution un unique.
(b) Prove that || ≤ch ||||2
الكاملا
(c) Given the triangulation of figure, determine
the basis function and compute the integrals:
So 4 dx, Sox
where
a (u,v) >, & ill
2
fvdx, v
.V, dx.
(0,1)
V. V dx., SV. Vz dx.
(0,0)
(1,0)
Transcribed Image Text:03: Let V = H(n), n≤ R, a(u,v) = (f, v) a(u,v) = Vu. Vv dx, and (f,v) = (a) Show that the finite element solution un unique. (b) Prove that || ≤ch ||||2 الكاملا (c) Given the triangulation of figure, determine the basis function and compute the integrals: So 4 dx, Sox where a (u,v) >, & ill 2 fvdx, v .V, dx. (0,1) V. V dx., SV. Vz dx. (0,0) (1,0)
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