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An improved Numerical Manifold Method and its application
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- An improved Numerical Manifold Method and its application
- 发表刊物：
- Engineering Analysis with Boundary Elements
- 摘要：
- 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.
- 合写作者：
- Y. L. Chen, L. X. Li*
- 卷号：
- 52 (2015)
- 页面范围：
- 120–129
- 是否译文：
- 否
- 发表时间：
- 2015-01-01
