# Tag Info

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### Under what circumstances is parallel scaling of the finite element method not "solved"?

There are multiple questions in the post, so let me address these separately: Scaling: Every parallel program is composed of sequential and parallel tasks, and Amdahl's law then guarantees that there ...
• 56.1k
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### FEM for vector valued problems: reference request

Short answer: Just replicate the vector of interpolation functions into a block-diagonal matrix, as showed e.g. on page 5 in this lecture note. Detailed answer: Mathematically oriented texts typically ...
• 832

### Spectral Element vs Finite Element

The SEM is a FEM! It's almost like all these different names are designed to confuse the newcomer. I will speak primarily about the most popular form which uses a tensor product Lagrange basis with ...
• 188
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### Spectral Element vs Finite Element

The main advantage is that it reduces the Runge phenomenon and leads to faster convergence rates. It also presents less numerical dispersion and need less nodes per wavelength (see 1 and 2). So, I ...
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### Nitsche's method for imposition of Dirichlet boundary conditions: implementation standpoint

If I understand your question right then yes, you're correct. The most common approach to enforcing Dirichlet boundary conditions with the finite element method is to modify the linear system of ...
• 10.4k

### Developing a C++ solid mechanics program

Specific answers to this question are probably time-limited. However, the following general approach (from the great Eric S. Raymond) works very well: Rule of Modularity: Write simple parts ...
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### Step3 in deal.II - Convergence of the mean

$h$ is a measure of the mesh size. In the example, they are using rectangular elements. For which a commonly used measure of the mesh size is the length of the largest diagonal. Looking at the table ...
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