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Questions tagged [deal.ii]

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Discontinuous grids in finite element method

I am new to finite element and deal.ii library. I am using the finite element method for my research and going through the tutorials of deal.ii library. A deal.ii example has a grid generated like ...
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0answers
53 views

Radially symmetric system of PDEs in deal.II

I am trying to solve the radially symmetric polar form of the PDE with homogeneous Neumann BC in deal.II on a unit circle: $$ u_t = \Delta u - \nabla \cdot (u \nabla h) $$ $$ h_t = \Delta h $$ I am ...
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computational tool for higher order Lagrangian interpolation for finite element

In finite element, I can calculate the Lagrangian interpolation shape functions for each degree of freedom in an element, from the the number of nodal degrees of freedom and the number of nodes ...
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2answers
787 views

Developing a C++ solid mechanics program

I am a beginner in computational science and programming. I am doing research in non linear solid mechanics analysis and using C++ for coding. I have been exploring various finite element open source ...
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1answer
96 views

Boundary elements method — calculation of solid angle

I am developing a BEM code based on a deal.ii tutorial, see https://www.dealii.org/8.3.0/doxygen/deal.II/step_34.html . Consider the Poisson equation $$ \Delta u=-f\,, $$ and its Green's function $G\...
2
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1answer
122 views

Topics about the deal.II finite element library class “SparsityPattern”

When learning the deal.II FE library, I am a bit confused about the mechanism of its "SparsityPattern" class. Through reading the documentation, I only got to know that it uses the Compressed Row ...
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2answers
269 views

Comparing various implementations/software packages for large-scale finite element simulations

I currently use FEniCS and Deal.II to solve various FEM problems. I am also writing my own implementation of these problems by directly implementing the data structures, routines, and solvers within ...
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208 views

How do hexahedral FEM meshes improve approximation quality per degree of freedom, compared to tetrahredal meshes?

From the deal.II FAQ : ...quadrilaterals and hexahedra typically provide a significantly better approximation quality than triangular meshes with the same number of degrees of freedom; you ...