Extension of Meshless Galerkin/Petrov-Galerkin Approach without Using Lagrange Multipliers

• KAMITANI Atsushi

  Yamagata University, Yonezawa 992-8510, Japan

• TAKAYAMA Teruou

  Yamagata University, Yonezawa 992-8510, Japan

• ITOH Taku

  Seikei University, Musashino 180-8633, Japan

• NAKAMURA Hiroaki

  National Institute for Fusion Science, Toki 509-5292, Japan

抄録

By directly discretizing the weak form used in the finite element method, meshless methods have been derived. Neither the Lagrange multiplier method nor the penalty method is employed in the derivation of the methods. The resulting methods are divided into two groups, depending on whether the discretization is based on the Galerkin or the Petrov-Galerkin approach. Each group is further subdivided into two groups, according to the method for imposing the essential boundary condition. Hence, four types of the meshless methods have been formulated. The accuracy of these methods is illustrated for two-dimensional Poisson problems.

収録刊行物

• Plasma and Fusion Research

  Plasma and Fusion Research 6 2401074-2401074, 2011

  一般社団法人 プラズマ・核融合学会

キーワード

• boundary-value problem
• collocation
• essential boundary condition
• Lagrange multiplier
• meshless method
• weak form

詳細情報

• CRID: 1390282680230090240
• NII論文ID: 130002059506
• DOI: 10.1585/pfr.6.2401074
• ISSN: 18806821
• Web Site: http://www.jstage.jst.go.jp/article/pfr/6/0/6_0_2401074/_pdf
• 本文言語コード: en
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