Question

Timoshenko beam coercivity: $A((w,\beta),(v,\eta)):=\int^1_0\beta'\eta'dx+\int^1_0(w'-\beta)(v'-\eta)dx=\int^1_0fvdx \forall(v,\eta)\in H^1_0(0,1)^2$

score 78 · Answer 1 · 2022-06-12 18:15:01

78

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Timoshenko beam coercivity: $A((w,\beta),(v,\eta)):=\int^1_0\beta'\eta'dx+\int^1_0(w'-\beta)(v'-\eta)dx=\int^1_0fvdx \forall(v,\eta)\in H^1_0(0,1)^2$

Published on 12 Jun 2022 - 18:15

score 59 · Answer 2 · 2022-06-30 00:19:29

59

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335

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80

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List Question

Timoshenko beam coercivity: $A((w,\beta),(v,\eta)):=\int^1_0\beta'\eta'dx+\int^1_0(w'-\beta)(v'-\eta)dx=\int^1_0fvdx \forall(v,\eta)\in H^1_0(0,1)^2$

Why is there a $\frac{1}{2}$ term in the equation $B(\delta u, u) = \frac{1}{2} \delta[B(u,u)]$ ? B is bilinear and symmetric

Imposing only normal or tangential direction Dirichlet boundary conditions in the weak form of a Poisson equation

Why are square Intergrable functions bounded? How is it related to L2 functions and Hilbert spaces?

Correct Sobolev Space for a Boundary Value Problem

Convergence rates for finite elements

Appropriate Numerical Method For Solving Natural Gas Pipe Sizes/Flows

FE convergence rate for poisson problem with robin boundary condition

Combining two inequalities

Finite Volume Method Dirichlet conditions on sets of measure zero

How to understand the norm on the sum of two spaces?

What are mixed methods with essential Neumann boundary condition?

Integration by parts with the Green-Gauss divergence theorem on an advective Galerkin FEM term

Given point/value pairs for the vertices of a tetrahedron, how do you get values for other points inside the tetrahedron?

Numerical PDEs: Does the finite element method have a corresponding notion of "Flux" as in finite volume methods?

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