Tom
  • Member for 9 years, 3 months
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Programming Finite Element Methods in C++
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9 votes

One of the authors of fenics, A. Logg, have written a very good paper on datastructures of storing meshes. The paper is A. Logg (2009). Efficient Representation of Computational Meshes http://arxiv....

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Algorithm for Principal Eigenvector of a Real Symmetric 3x3 Matrix
4 votes

From geometrical tools (www.geometrictools.com) http://www.geometrictools.com/Documentation/EigenSymmetric3x3.pdf I hope this helps

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Time complexity for sparse direct solver for SPD system with respect to number of equations, bandwidth, number of nonzeros?
3 votes

The complexity of direct solver for SPD problems depends essentially of the properties of the underlying graph. If your matrix comes from the discretization of an elliptic equation then it depends ...

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FEM library with support of simplex elements
3 votes

I would suggest getfem http://download.gna.org/getfem/html/homepage/ or dolfin http://fenicsproject.org/documentation/dolfin/dev/cpp/ Kind Regards, Tom

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why overlapping technique can accelerate the additive/multiplictive Schwarz
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1 votes

The problem with elliptic operators is that the solution at any specific point depends on all the domain. The overlap allows to 'mix' the approximate solution between subdomains and therefore ...

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simple MHD simulation code for (self) education and play with
1 votes

Give a try to PLUTO http://plutocode.ph.unito.it/ I hope this helps ! Cheers, Tom

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What is a robust, iterative solver for large 3-d linear-elastic problems?
1 votes

You can easily create a rather good preconditioner for elasticity if your material are not too incompressible (Poisson ration $< 0.4$) by using separate displacement components preconditioner. The ...

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Integrating a harmonic function over a tetrahedron
1 votes

I found something that might be interesting. http://www.math.kth.se/~gbjorn/exact.pdf I hope this helps, Tom

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Finite Difference Error Estimate for an Elliptic PDE with an Oscillatory Coefficient
0 votes

May be a look to the following article of Efendiev and al. may help you (eq 3.8). http://users.cms.caltech.edu/~hou/papers/MsFEM_nonlinear.pdf Cheers, Thomas

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Method to quantify geometric difference of two dissimilar meshes
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I'm not sure it really helps, but you may have a look to temperature distribution on both mesh and compute a similarity measure between the two distributions. This is done in the following paper: http:...

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