# All Questions

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### Deriving the element stiffness matrix for 2D linear elasticity

I'm following the derivation from Finite Element Method using Matlab 2nd Edition, pg 311-315, which derives of the local stiffness matrix for planar isotropic linear elasticity as follows: Force ...
788 views

### Matlab Pde Toolbox: Plot solution on a line or on a submanifold

I'm using the Matlab pde toolbox to solve a certain elliptic equation in 2D. Solution is fine, although I do need to plot it along a given line, i.e. to cut a planar slice from the 3D mesh ...
100 views

### Bounded Variation Spaces

Could someone explain me (roughly) the interest of Bounded Variation (BV) Spaces for PDEs ? Is there any numerical application of those space to real problems or is it just a theoretic way to ...
93 views

### Cholesky Algorithm loop-Carried

I would like to know how to unroll loop-carried dependency inside the cholesky algorithm. What are the techniques that I should know to accomplish this work? I need to know it because I want to ...
273 views

### Are there Improved ways of computing $p \log(p)$?

Most math libraries have a number of versions of logarithm functions. Most of the time we assume them to be perfect, but actually quite a lot of them just offer a certain number of digits of precision....
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141 views

### Effect of boundary condition on the local error

Any error analysis is based on the Taylor expansions. So, if I take a finite difference scheme, I can calculate the value of the function at any point using the known value at another node via Taylor. ...
58 views

### correct complexity notation

I have written an algorithm where the 2 input arguments are a file and a list of values. I would like to say the algorithm complexity is: ...
529 views

### Ill-conditioned Gram Matrix Assembly

I'm trying to find the best approximation to the function $e^x$ in the finite dimensional polynomial space $P_4$ with respect to the standard basis vectors $B=\{1,x,x^2,x^3,x^4\}$ with inner product ...
520 views

### Where to find Leszek Demkowicz's finite element codes or alternatives?

I know that long back Dr. Leszek Demkowicz finite elements codes(1Dhp,2Dhp,3Dhp) were available in his website. I'm finding it difficult to locate it now. Is there any alternatives available to these ...
2k views

### Finite Volume Method vs. Finite Element Method for Eulerian and Lagrangian Reference Frames

As far as I can tell, finite volume methods are primarily for eulerian reference frames (such as in fluid dynamics simulations) while finite element methods are easily ameanable to lagrangian ...
365 views

### Iterative solution to a nonlinear equation

I appologize in advance if this question is silly. I need to compute the root of $$u -f(u) =0$$ Where $u$ is a real vector and $f(u)$ is a real-vector valued function. ...

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