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    A Rectangular higher order edge element (finite element method)

    I have solved many finite element problems using nodal based (rectangular element) for higher order. now i am trying to solve electromagnetic problem using vector element (Nedelec or Whitney). I know only triangular edge based element with first order only and not higher order. i am searching...
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    Gauss' law in line integral, Q=##ϵ_0 ∮E.n dl=-ϵ_0 ∮∂ϕ/∂n dl##

    yes, this is the 2D problem. i am trying to calculate the total charge on conductor, shown by bold lines in 2D domain. i have calculated potential distribution at each point using Laplace equation in finite element method, now i want to calculate total charge Q on this conductor, from this...
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    Gauss' law in line integral, Q=##ϵ_0 ∮E.n dl=-ϵ_0 ∮∂ϕ/∂n dl##

    I know the Gauss law for surface integral to calculate total charge by integrating the normal components of electric field around whole surface . but in above expression charge is calculated using line integration of normal components of electric field along line. i don't understand this...
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    How to apply divergence free (∇.v=0) in nodal finite element method?

    Would you give me the example of NS equation using stream function in fem?
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    How to apply divergence free (∇.v=0) in nodal finite element method?

    Can I use such potential formulation for curl, curl equation of Maxwell or Navier- Stokes equation in fluid flow?
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    How to apply divergence free (∇.v=0) in nodal finite element method?

    I know how to apply boundary condition like Dirichlet, Neumann and Robin but i have been struggling to apply divergence free condition for Maxwells or Stokes equations in nodal finite element method. to overcome this difficulties a special element was developed called as edge element but i don't...
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    A When should you use more mesh elements in the finite element method?

    thanks for sharing "Sherwin and Karniadakis, hp/spectral element book". i was completely unaware of this element. the co-incident is that, i made complete solver without any mesh software in python which is resemble this concept. of course, "statue of liberty" is also possible! but i have to...
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    A When should you use more mesh elements in the finite element method?

    the middle is a second order rectangular element (blue dots, 9 nodes) , just displacing nodes in the direction of arrow we can generated circle of any radius. for making star, four elements of order 1 are used (4 nodes for each element). we can make any angle no matter because it is made by...
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    A When should you use more mesh elements in the finite element method?

    suppose i have star domain as show in figure, will it required mesh generation software like gmsh etc? i will say no, this star shape can be covered (100% without discretization error) using single isoparametric rectangular element of order 2 just by displacing boundary nodes inside.
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    A When should you use more mesh elements in the finite element method?

    OfCourse this is correct. wouldn't it is possible to increase the accuracy of solution by increasing order of element (order will increase number of nodes inside the element) instead of repeating elements? i observed that 5 to 6 nodes are sufficient to gives accurate solution even for...
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    A When should you use more mesh elements in the finite element method?

    the simple rectangular isoparametric element (curved edges element) can be used to generate many complex shapes like.. square to circle square to triangle two square elements to annular. and the results i calculated in python code (2D case) are very accurate, then i confused why to use complex...
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    Maxwell fourth equation incorrect?

    div of J is zero or not in case of capacitor? if yes then problem in fourth equation and if no can you prove?
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    Maxwell fourth equation incorrect?

    Hi all this question seems to be silly but i want to where i am wrong. Maxwell was made modification in Amperes law curl H=J and he added new quantity displacement current Jd, reason was that Div.J=0 (true in DC current but not in AC charging capacitor). but if i say Div J=0 in capacitor...
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    Puzzle of negative result of Michelson Morley experiment

    thanks the answer would have been " no ether" that's sufficient. would you give me one practical example where Galilean transformation is ineffective?
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    Puzzle of negative result of Michelson Morley experiment

    HI all How can Michelson itself predicted contraction of length and Einstein about constancy of light from negative result of MM experiment. forget about existence of ether, light speed always same in moving frame of reference and importantly in any direction so how can one except shift in...
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