i let V-H.) R aluv) = (v) where alu)=SU. V dx and { and (v) sv Show that the finite element solution Un Unique Prove that U-Un ll≤ch llull A²=f and U= Ju =0 on on a with bili near from a (u,v) = SAU. Av dr 32 Prove that aluv) is countinous and V-expitic ii Prove that 2 Mete ||(U-U|| ²== ||||²+|| || ² where -Auf in U=0 on 2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 11AEXP
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i
let V-H.) R aluv) = (v)
where alu)=SU. V dx and
{
and (v) sv
Show that the finite element solution Un
Unique
Prove that U-Un ll≤ch llull
A²=f and U= Ju
=0
on
on a
with bili near from a (u,v) = SAU. Av dr
32
Prove that aluv) is countinous and V-expitic
ii Prove that
2
Mete ||(U-U|| ²== ||||²+|| || ²
where -Auf in U=0 on
2
Transcribed Image Text:i let V-H.) R aluv) = (v) where alu)=SU. V dx and { and (v) sv Show that the finite element solution Un Unique Prove that U-Un ll≤ch llull A²=f and U= Ju =0 on on a with bili near from a (u,v) = SAU. Av dr 32 Prove that aluv) is countinous and V-expitic ii Prove that 2 Mete ||(U-U|| ²== ||||²+|| || ² where -Auf in U=0 on 2
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