An h-p adaptive method using clouds

C. Armando Duarte; J. Tinsley Oden

doi:10.1016/S0045-7825(96)01085-7

An h-p adaptive method using clouds

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

Abstract

Several computational and mathematical features of the h-p cloud method are demonstrated in this paper. We show how h, p and h-p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods. The mathematical derivation of an a posteriori error estimate for the h-p cloud method is also presented. Several numerical examples illustrate the main ideas of the method.

Original language	English (US)
Pages (from-to)	237-262
Number of pages	26
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	139
Issue number	1-4
DOIs	https://doi.org/10.1016/S0045-7825(96)01085-7
State	Published - Dec 1 1996
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/S0045-7825(96)01085-7

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title = "An h-p adaptive method using clouds",

abstract = "Several computational and mathematical features of the h-p cloud method are demonstrated in this paper. We show how h, p and h-p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods. The mathematical derivation of an a posteriori error estimate for the h-p cloud method is also presented. Several numerical examples illustrate the main ideas of the method.",

author = "Duarte, {C. Armando} and Oden, {J. Tinsley}",

note = "Funding Information: The support of this work by the Army Research Office (J.T. Oden) under contract DAAL03-92-G-0253, of the National Science Foundation, U.S.-Brazil program under grant INT 9402416a, nd of the CNPq (Brazil) Graduate Fellowship Program (C.A. Duarte) grant # 200498/92-4i s gratefully acknowledged.",

year = "1996",

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doi = "10.1016/S0045-7825(96)01085-7",

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AU - Duarte, C. Armando

AU - Oden, J. Tinsley

N1 - Funding Information: The support of this work by the Army Research Office (J.T. Oden) under contract DAAL03-92-G-0253, of the National Science Foundation, U.S.-Brazil program under grant INT 9402416a, nd of the CNPq (Brazil) Graduate Fellowship Program (C.A. Duarte) grant # 200498/92-4i s gratefully acknowledged.

PY - 1996/12/1

Y1 - 1996/12/1

N2 - Several computational and mathematical features of the h-p cloud method are demonstrated in this paper. We show how h, p and h-p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods. The mathematical derivation of an a posteriori error estimate for the h-p cloud method is also presented. Several numerical examples illustrate the main ideas of the method.

AB - Several computational and mathematical features of the h-p cloud method are demonstrated in this paper. We show how h, p and h-p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods. The mathematical derivation of an a posteriori error estimate for the h-p cloud method is also presented. Several numerical examples illustrate the main ideas of the method.

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

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ER -

An h-p adaptive method using clouds

Abstract

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