Solution Representations for Trefftz-Type Finite Elements

Reinhard Piltner

Solution Representations for Trefftz-Type Finite Elements

Reinhard Piltner

Mathematical Sciences

University of Nebraska–Lincoln

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Solution representations are available for severeal differential equations. For elasticity problems some of the solution representations are considered in this paper. The solution representations can be used for a systematic construction of Trefftz functions for the derivation of Trefftz-type finite elements. For the example of a thick plate a set of Trefftz functions is presented.

Original language	American English
Journal	Computer Assisted Mechanics in Engineering and Science
Volume	10
State	Published - 2003

Disciplines

Mathematics

Keywords

Trefftz Functions
Trefftz-type Finite Elements

Cite this

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title = "Solution Representations for Trefftz-Type Finite Elements",

abstract = " Solution representations are available for severeal differential equations. For elasticity problems some of the solution representations are considered in this paper. The solution representations can be used for a systematic construction of Trefftz functions for the derivation of Trefftz-type finite elements. For the example of a thick plate a set of Trefftz functions is presented. ",

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author = "Reinhard Piltner",

year = "2003",

language = "American English",

volume = "10",

journal = "Computer Assisted Mechanics in Engineering and Science",

issn = "2956-5839",

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PY - 2003

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AB - Solution representations are available for severeal differential equations. For elasticity problems some of the solution representations are considered in this paper. The solution representations can be used for a systematic construction of Trefftz functions for the derivation of Trefftz-type finite elements. For the example of a thick plate a set of Trefftz functions is presented.

KW - Trefftz Functions

KW - Trefftz-type Finite Elements

UR - http://www.olemiss.edu/sciencenet/trefftz/Trefftz/Exeter/Piltner1.pdf

M3 - Article

SN - 2956-5839

VL - 10

JO - Computer Assisted Mechanics in Engineering and Science

JF - Computer Assisted Mechanics in Engineering and Science

ER -

Solution Representations for Trefftz-Type Finite Elements

Abstract

Disciplines

Keywords

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