Optimal Multilevel Extension Operators
In the present paper we suggest the norm-preserving explicit operator for the extension of finite-element functions from boundaries of domains into the inside. The construction of this operator is based on the multilevel decomposition of functions on the boundaries and on the equivalent norm f...
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| Format: | Others |
| Language: | English |
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Universitätsbibliothek Chemnitz
2005
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500971 http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500971 http://www.qucosa.de/fileadmin/data/qucosa/documents/5020/data/spc95-3.pdf http://www.qucosa.de/fileadmin/data/qucosa/documents/5020/20050097.txt |
| Summary: | In the present paper we suggest the norm-preserving
explicit operator for the extension of
finite-element functions from boundaries of domains
into the inside. The construction of this operator
is based on the multilevel decomposition of
functions on the boundaries and on the equivalent
norm for this decomposition. The cost of the action
of this operator is proportional to the number of
nodes. |
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