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Can we use interpolation function of different order to represent different degrees o |
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#1 |
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Mandeep Shetty
Join Date: Apr 2016
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Consider a line element in FEM. Let each node have 3 DOF. They are x and y translation DOF and temperature. Can we use interpolation functions of different orders for the translation DOFs and Temperature, like say, first-order interpolation function for translation DOF and second-order interpolation for temperature?
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#2 |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
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Can someone help me with this, please?
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#3 |
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Filippo Maria Denaro
Join Date: Jul 2010
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Not an expert on FEM but I suppose that you have to consider if the fields are related each others or not. I mean, for example, if you use a second degree shape functions for the temperature, the heat flux should be described by a first degree shape function.
Pressure and velocity is a classical example where the shape function degree has to be congruent. However, let we wait for answers by experts in FEM field. |
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#4 | |
Senior Member
Mandeep Shetty
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Quote:
Can you please tell me why you think the interpolation/shape functions of pressure and velocity be congruent? Also, can you tell me if the order of the interpolation functions for the different components of velocity can be different? |
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#5 |
Super Moderator
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The answer will depend on the PDE you are solving. In some cases there are restrictions on what combination of approximation spaces will lead to a stable scheme.
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finite element method |
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