The Hellan--Herrmann--Johnson Method with Curved Elements
نویسندگان
چکیده
منابع مشابه
JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics A Decomposition Result for Biharmonic Problems and the Hellan-Herrmann-Johnson Method
For the first biharmonic problem a mixed variational formulation is introduced which is equivalent to a standard primal variational formulation on arbitrary polygonal domains. Based on a Helmholtz decomposition for an involved nonstandard Sobolev space it is shown that the biharmonic problem is equivalent to three (consecutively to solve) second-order elliptic problems. Two of them are Poisson ...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2020
ISSN: 0036-1429,1095-7170
DOI: 10.1137/19m1288723