主要期刊论文

An improved Numerical Manifold Method and its application




作者: Y. L. Chen, L. X. Li*
发表/完成日期: 2015-01-01
期刊名称: Engineering Analysis with Boundary Elements
期卷: 52 (2015)
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论文简介
The conventionalnumericalmanifoldmethodisimprovedingeneratingmanifoldelements.Inthis
framework,theconceptofmathematicalelementisunderlying,andmanifoldelementsaregeneratedby
intersecting mathematicalelementswithphysicalfeatures.Ononehand,eachmathematicalcoveris
recoveredbythemathematicalelementswiththesamenode(andhencethenodeisthestarof
mathematical cover).Ontheotherhand,eachphysicalcoveriseventuallyrecoveredbypiecewise
pasting themanifoldelementswithinthesamemathematicalcoverwiththesamephysicalfeature.
Afterthisimprovement,generationofmanifoldelementscanbypasstheoverlappingprocedureof
irregular andcomplicatedphysicalcovers,leadingtotheeffectassimpleasthe finite elementmethod.
Compared withtheconventionalnumericalmanifoldmethod,thisimprovementcanattain “what you
see iswhatyouget” in generatingmanifoldelements,andconstructionofweightfunctionsis
theoreticallystraightforward.Inaddition,localmeshrefinement becomesmoreconvenientwhen
necessary.Twoexamplesareconductedtovalidatetheimprovednumericalmanifoldmethod.