1992
DOI: 10.21236/ada252955
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Adaptive Methods and Parallel Computation for Partial Differential Equations

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Cited by 4 publications
(3 citation statements)
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“…Triangular elements are used in both the forward and inverse mesh. The h-refinement technique is used to divide one coarse element into four elements by approximately connecting the midpoints of all edges of the coarse element (Babuska et al 1983). An example of such refinement is given in figure 1.…”
Section: Adaptive Mesh Refinementmentioning
confidence: 99%
“…Triangular elements are used in both the forward and inverse mesh. The h-refinement technique is used to divide one coarse element into four elements by approximately connecting the midpoints of all edges of the coarse element (Babuska et al 1983). An example of such refinement is given in figure 1.…”
Section: Adaptive Mesh Refinementmentioning
confidence: 99%
“…Adaptive finite element method, which has been studied for nearly twenty five years, tries to automatically refine, coarsen, or relocate a mesh and, or adjust the basis to achieve a solution having a specified accuracy in an optimal fashion [27][28][29]. Another established formulation to the numerical simulation of metal forming process is the arbitrary Lagrangian Eulerian (ALE) approach, which has been used by several researchers in modelling the sheet metal forming process [30][31][32].…”
Section: Literature Reviewmentioning
confidence: 99%
“…Techniques for converting complex geometries into simple ones have been proposed. These methods were discussed by Thomson et al, (1985) and the assessments on this subject (Babuska et al, 1983;Pletcher et al, 1984) . Later, Baliga and co-workers (1983;1983b;) have introduced a control volume based finite element method which can handle arbitrary geometries.…”
Section: Computational Fluid Dynamicsmentioning
confidence: 99%