T. Stickland, Finite ele- ment moving mesh analysis of phase change problems with natural convec- tion, International Journal of Heat and Fluid Flow, 26(4) (2005) 597-612.Tenchev, R. T., J. A. Mackenzie, T. J.
Local mesh generationError estimatorAdaptive analysisA new mesh adaptivity algorithm that combines a posteriori error estimation with bubble-type local mesh generation (BLMG) strategy for elliptic differential equations is proposed. The size function used in the BLMG is defined on each vertex during the...
We propose an unfitted finite element method for numerically solving the time-harmonic Maxwell equations on a smooth domain. The embedded boundary of the domain is allowed to cut through the background mesh arbitrarily. The unfitted scheme is based on a mixed interior penalty formulation, where the...
The mesh of the block is obviously a perfect representation of the true geometry, while the mesh of the cylindrical shell appears quite poor. In fact, it only appears that way when plotted. Elements are always plotted on the screen as having straight edges (this is done for graphics performa...
These individuals that cannot outperform each other on all objectives create a set, the so-called nondominated front. In terms of the physical optimization problems in which the evaluations are always computationally complex, their population sizes in MOGAs are generally small because of the limited ...
They also confirm the second order convergence of the error that is predicted by the theoretical analysis. The effects of approximation of curved boundaries on the computation of eigenvalue problems is also studied in two dimensions. It is shown that the initial mesh used to define the geometry ...
The approach is based on searching for the saddle-point of a new potential energy functional with Lagrange multipliers. The interfaces can be either straight or curved, open or closed. The two coupling conditions, equilibrium and compatibility, along an interface are fulfilled in a weak sense by...
of the domain p . 2 first-order virtual element method on a polygonal mesh this section describes class of admissible partitions of \(\omega \) into polygonal domains and the lowest-order nonconforming virtual element method for the problem ( 1.1 ) [ 3 , 17 ]. 2.1 polygonal meshes a ...
Fast evaluation of radial basis functions: methods based on partition of unity We combine the theory of radial basis function interpolation with a partition of unity method to solve large-scale, scattered data problems. We analyze the computational complexity and pay special attention to the ...
In addition, compared to the unfitted HHO method [14], [16], our method has some advantages: the mesh assumption is less restrictive, that is, the local cell-agglomeration procedures are not necessary, and our method has fewer degrees of freedom on each interface element. The rest of the ...