What is P version of FEM?

p-FEM or the p-version of the finite element method is a numerical method for solving partial differential equations. It is a discretization strategy in which the finite element mesh is fixed and the polynomial degrees of elements are increased such that the lowest polynomial degree, denoted by , approaches infinity.

What is P version?

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What is the H version of finite element analysis?

hp-FEM is a general version of the finite element method (FEM), a numerical method for solving partial differential equations based on piecewise-polynomial approximations that employs elements of variable size (h) and polynomial degree (p).

What is the difference between H-method and P methods?

The difference between the two methods lies in how these elements are treated. The h-method uses many simple elements, whereas the p-method uses few complex elements. More accurate information is obtained by increasing the number of elements. The name for the h-method is borrowed from mathematics.

What is H version and P in FEM?

There are three versions of the finite element method. The classical h version, which achieves the accuracy by refining the mesh while using low degrees p of the elements, usually p = 1, 2. The p version keeps the mesh fixed, and the accuracy is achieved by increasing the degree p.

What are H and P versions of FEM?

What is the difference between P-refinement and H-refinement?

The h-refinement of the finite element method discretizes the problem domain into multiple elements to achieve higher accuracy. The p-refinement increases accuracy by using higher-degree shape functions. Compared to the h-refinement, the p-refinement can provide the advantages of high rates of convergence and accuracy.

What are H and P versions of finite element method?

Why variational formulation is called as weak formulation?

The variational formulation also known as weak formulation allows to find in a fast and simple way the solution to phenomena or problems modeled through PDEs, these when analyzed with the techniques or classical theory of PDE, it is very complex to find a solution that satisfies said equations.