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| 2. |
- Battini, Jean-Marc, et al.
(författare)
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On the choice of local element frame for corotational triangular shell elements
- 2004
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Ingår i: Communications in Numerical Methods in Engineering. - : Wiley. - 1069-8299 .- 1099-0887. ; 20:10, s. 819-825
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Tidskriftsartikel (refereegranskat)abstract
- In the context of corotational triangular shell elements, the objective of this paper is to show that for certain stability problems it is interesting to choose a local element frame invariant to the element node ordering. Two methods of obtaining such a local frame are presented. These two methods, already proposed by other authors, are reformulated. For the first one, based on the minimisation of local nodal displacements, it is shown that the iterative process can be avoided.
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| 3. |
- Becker, Roland, et al.
(författare)
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A simple pressure stabilization method for the Stokes equation
- 2008
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Ingår i: Communications in Numerical Methods in Engineering. - : Wiley. - 1069-8299 .- 1099-0887. ; 24:11, s. 1421-1430
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, we consider a stabilization method for the Stokes problem, using equal-order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal-order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well-known idea of using mass lumping as a stabilization mechanism.
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| 4. |
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| 5. |
- Edberg, Jonas, et al.
(författare)
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Efficient three-dimensional model of rolling using an explicit finite-element formulation
- 1993
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Ingår i: Communications in Numerical Methods in Engineering. - : Wiley. - 1069-8299 .- 1099-0887. ; 9:7, s. 613-627
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Tidskriftsartikel (refereegranskat)abstract
- Rolling is simulated by a three-dimensional finite-element model with elastoplastic constitutive equations. The use of an explicit finite-element formulation, instead of the more commonly used implicit formulation, has reduced the required computing time. The larger of the models used in one step towards a general and complete computational model of rolling. Results from experiments and from two and three-dimensional calculations are compared.
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| 6. |
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| 7. |
- Hansbo, Peter F G, 1959, et al.
(författare)
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Piecewise divergence free discontinuous Galerkin methods
- 2008
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Ingår i: Communications in Numerical Methods in Engineering. - : Wiley. - 1069-8299 .- 1099-0887. ; 24:5, s. 355-366
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, we consider different possibilities of using divergence-free discontinuous Galerkin methods for the Stokes problem in order to eliminate the pressure from the discrete problem. We focus on three different approaches: one based on a C0 approximation of the stream function in two dimensions (the vector potential in three dimensions), one based on the non-conforming Morley element (which corresponds to a divergence-free non-conforming Crouzeix-Raviart approximation of the velocities), and one fully discontinuous Galerkin method with a stabilization of the pressure that allows the edgewise elimination of the pressure variable before solving the discrete system. We limit the analysis in the stream function case to two spatial dimensions, while the analysis of the fully discontinuous approach is valid also in three dimensions.
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| 8. |
- Hansbo, Peter F G, 1959
(författare)
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Space-time oriented streamline diffusion methods for nonlinear conservation laws in one dimension
- 1994
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Ingår i: Communications in Numerical Methods in Engineering. - : Wiley. ; 10:3, s. 203-215
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Tidskriftsartikel (refereegranskat)abstract
- In this paper we consider an explicit finite element mehtod, with elements adaptively orientet in space-time, for the solution of one-dimensional conservation laws, extending previous work dealing with linear convection-diffusion and incompressible flow. In particular we consider Burgers' equation and the compressible Euler equations.
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| 9. |
- Hansbo, Peter
(författare)
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Generalized Laplacian smoothing of unstructured grids
- 1995
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Ingår i: Communications in Numerical Methods in Engineering. - : Wiley. - 1069-8299 .- 1099-0887. ; 11, s. 455-464
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Tidskriftsartikel (refereegranskat)abstract
- In this note we point out the natural choice of smoothing by use of a metric tenser to maintain control of the local element stretch. The extension to grids on surfaces in 3D is straightforward. Numerical examples are given.
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| 10. |
- Hansbo, Peter, et al.
(författare)
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Piecewise divergence-free discontinuous Galerkin methods for Stokes flow
- 2007
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Ingår i: Communications in Numerical Methods in Engineering. - : John Wiley & Sons. - 1069-8299 .- 1099-0887. ; 24:5, s. 355-366
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, we consider different possibilities of using divergence‐free discontinuous Galerkin methods for the Stokes problem in order to eliminate the pressure from the discrete problem. We focus on three different approaches: one based on a C0 approximation of the stream function in two dimensions (the vector potential in three dimensions), one based on the non‐conforming Morley element (which corresponds to a divergence‐free non‐conforming Crouzeix–Raviart approximation of the velocities), and one fully discontinuous Galerkin method with a stabilization of the pressure that allows the edgewise elimination of the pressure variable before solving the discrete system. We limit the analysis in the stream function case to two spatial dimensions, while the analysis of the fully discontinuous approach is valid also in three dimensions.
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