Recent content by soks

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    Integration by Parts in 2D: How to Apply the Rule in Polar Coordinates?

    Functions w and v are functions of r and \varphi ( w = w(r, \varphi) and v = v(r, \varphi))
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    Integration by Parts in 2D: How to Apply the Rule in Polar Coordinates?

    The integration by parts rule in two dimensions is \int_{Ω}\frac{\partial w}{\partial x_{i}} v dΩ = \int_{\Gamma} w v \vec{n} d\Gamma - \int_{Ω} w \frac{\partial v}{\partial x_{i}} dΩ I have two examples in polar coordinates In first example I have \vec{n}=\vec{n_{r}} \int_{\Gamma}...
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    How change from one to another coordinate system

    Thanks for answer. Is parameter t in equation x = r cos(t) angle phi in the picture?
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    How change from one to another coordinate system

    Hello! I have a problem. How can I convert a left part from picture which is in coordinate system (r, s) to coordinate system (x, y) and then to coordinate system (ζ, η) (right part). I need Jacobian matrix because of integration some function above this region. Any helpful links or...
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