Implementation of an adaptive refinement technique for the SUPG algorithm. (English) Zbl 0596.73066

An adaptive refinement algorithm is developed and implemented for the SUPG method applied to a linear time-dependent advection problem in two space dimensions. Accuracy comparisons and timing results are presented which compare the adaptive solution and the solution obtained using a uniform mesh. The comparisons are made for the well-known rotating cone benchmark problem.


74S30 Other numerical methods in solid mechanics (MSC2010)
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
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