The discontinuous enrichment method
نویسنده
چکیده
We propose a nite element based discretization method in which the standard polynomial eld is enriched within each element by a nonconforming eld that is added to it. The enrichment contains free-space solutions of the homogeneous diierential equation that are not represented by the underlying polynomial eld. Continuity of the enrichment across element interfaces is enforced weakly by Lagrange multipliers. In this manner, we expect to attain high coarse-mesh accuracy without signiicant degradation of conditioning, assuring good performance of the computation at any mesh resolution. Examples of application to acoustics and advection-diiusion are presented.
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