Meshless Methods , Generalized Finite Element Methods , and Related Approaches
نویسندگان
چکیده
Recently the Meshless and Generalized FEM became to be in the center of interest, especially in the engineering community. I have identified more than 200 engineering papers and four books ([1],[2],[3],[4]). I found very few papers of mathematical character (assumptions, theorems, proofs). Hence there is a large experience and heuristics but not too much mathematical understanding of the methods and their range of the applicability and the performance. There are four basic directions: 1. The construction of the meshless and generalized FEM spaces and their approximation properties. 2. The discretization of the elliptic, parabolic and hyperbolic equations (solids, fluids etc) and its convergence. 3. The Implementation.
منابع مشابه
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