The equivalence of Euclidean norm and finite element norm in 3D for non-uniform meshes
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I am interested in equivalence between Euclidean norm and finite element norm:
$$ C_0left| mathbf{v}^h right|_2 leq left| P^hmathbf{v}^h right|_{L^2(Omega)} leq C_1left| mathbf{v}^h right|_2 $$
My question is related to previously posted question:
The equivalence of Euclidean norm and finite element norm
The equivalence of Euclidean norm and finite element norm
I am mostly interested in knowing what needs to be adjusted, such that proof holds also in 3D and for non-uniform finite elements(still P1, Lagrange).
functional-analysis analysis numerical-linear-algebra
asked Nov 18 at 14:23
macbook_pro
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up vote
2
down vote
favorite
I am interested in equivalence between Euclidean norm and finite element norm:
$$ C_0left| mathbf{v}^h right|_2 leq left| P^hmathbf{v}^h right|_{L^2(Omega)} leq C_1left| mathbf{v}^h right|_2 $$
My question is related to previously posted question:
The equivalence of Euclidean norm and finite element norm
The equivalence of Euclidean norm and finite element norm
I am mostly interested in knowing what needs to be adjusted, such that proof holds also in 3D and for non-uniform finite elements(still P1, Lagrange).
functional-analysis analysis numerical-linear-algebra
asked Nov 18 at 14:23
macbook_pro
111
add a comment |
up vote
2
down vote
favorite
up vote
2
down vote
favorite
I am interested in equivalence between Euclidean norm and finite element norm:
$$ C_0left| mathbf{v}^h right|_2 leq left| P^hmathbf{v}^h right|_{L^2(Omega)} leq C_1left| mathbf{v}^h right|_2 $$
My question is related to previously posted question:
The equivalence of Euclidean norm and finite element norm
The equivalence of Euclidean norm and finite element norm
I am mostly interested in knowing what needs to be adjusted, such that proof holds also in 3D and for non-uniform finite elements(still P1, Lagrange).
functional-analysis analysis numerical-linear-algebra
asked Nov 18 at 14:23
macbook_pro
111
I am interested in equivalence between Euclidean norm and finite element norm:
$$ C_0left| mathbf{v}^h right|_2 leq left| P^hmathbf{v}^h right|_{L^2(Omega)} leq C_1left| mathbf{v}^h right|_2 $$
My question is related to previously posted question:
The equivalence of Euclidean norm and finite element norm
The equivalence of Euclidean norm and finite element norm
I am mostly interested in knowing what needs to be adjusted, such that proof holds also in 3D and for non-uniform finite elements(still P1, Lagrange).
functional-analysis analysis numerical-linear-algebra
functional-analysis analysis numerical-linear-algebra
asked Nov 18 at 14:23
macbook_pro
111
asked Nov 18 at 14:23
macbook_pro
111
asked Nov 18 at 14:23
macbook_pro
111
asked Nov 18 at 14:23
macbook_pro
111
asked Nov 18 at 14:23
macbook_pro
111
111
add a comment |
add a comment |
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