Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes
نویسندگان
چکیده
منابع مشابه
Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes
Weconstructmolli cation operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are Lp stable for any real number p ∈ [1,∞], and commutewith thedi erential operators∇,∇×, and ∇⋅. We also constructmolli cation operators satisfying boundary conditions and use them to characterize the kernel of traces related to the tangential and normal trace of vector elds. We use the ...
متن کاملMollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complex
We construct mollification operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are Lp stable for any real number p ∈ [1,∞], and commute with the differential operators ∇, ∇×, and ∇·. We also construct mollification operators satisfying boundary conditions and use them to characterize the kernel of traces related to the tangential and normal trace of vector fields....
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ژورنال
عنوان ژورنال: Computational Methods in Applied Mathematics
سال: 2015
ISSN: 1609-9389,1609-4840
DOI: 10.1515/cmam-2015-0034