multidimensional interpolation;
finite element method;
maximum angle condition;
splines on triangulations;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
A finite element with new properties of approximation of higher derivatives is constructed, and a method for the construction of a finite element space in the planar case is proposed. The method is based on Yu.N. Subbotin's earlier results as well as on the results obtained in this paper. The resulting piecewise polynomial function possesses the continuity property and new approximation properties.
机构:
South Dakota Sch Mines & Technol, Dept Mech Engn, Rapid City, SD 57701 USASouth Dakota Sch Mines & Technol, Dept Mech Engn, Rapid City, SD 57701 USA
Jha, Prashant K.
Diehl, Patrick
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机构:
Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA USA
Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA USASouth Dakota Sch Mines & Technol, Dept Mech Engn, Rapid City, SD 57701 USA
Diehl, Patrick
Lipton, Robert
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h-index: 0
机构:
Louisiana State Univ, Dept Math, Baton Rouge, LA USA
Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA USASouth Dakota Sch Mines & Technol, Dept Mech Engn, Rapid City, SD 57701 USA
机构:
Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy
Della Pietra, Francesco
Fantuzzi, Giovanni
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h-index: 0
机构:
Friedrich Alexander Univ Erlangen Nurnberg, Dept Math, Erlangen, Germany
Romanian Acad, Inst Math Simion Stoilow, Bucharest, RomaniaUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy
Fantuzzi, Giovanni
Ignat, Liviu I.
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机构:
Univ Bucharest ICUB, Res Inst, Bucharest, RomaniaUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy
Ignat, Liviu I.
Masiello, Alba Lia
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h-index: 0
机构:
Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy
Masiello, Alba Lia
Paoli, Gloria
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h-index: 0
机构:
Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy
Paoli, Gloria
Zuazua, Enrique
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h-index: 0
机构:
Friedrich Alexander Univ Erlangen Nurnberg, Dept Math, Erlangen, Germany
Fdn Deusto, Chair Computat Math, Bilbao, Spain
Univ Autonoma Madrid, Dept Matemat, Madrid, SpainUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy
机构:
Santa Clara Univ, Dept Math & Comp Sci, Santa Clara, CA 95053 USA
Univ Hawaii Manoa, Dept Math, Honolulu, HI 96822 USASanta Clara Univ, Dept Math & Comp Sci, Santa Clara, CA 95053 USA
Gawlik, Evan S.
Neunteufel, Michael
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机构:
Portland State Univ, Fariborz Maseeh Dept Math Stat, 1825 SW Broadway, Portland, OR 97201 USA
TU Wien, Inst Anal & Sci Comp, Wiedner Haupt Str 8-10, A-1040 Vienna, AustriaSanta Clara Univ, Dept Math & Comp Sci, Santa Clara, CA 95053 USA