COMPUTATION OF DISCRETIZATION ERROR USING THE RULE OF GRADIENT RECOVERY AND ADAPTIVE REFINEMENT OF ELEMENTS

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SANAEIRAD ALI; KASHANI ALI REZA

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Journal: AMIRKABIR JOURNAL OF CIVIL ENGINEERING (AMIRKABIR) Year:2016 | Volume:48 | Issue:2 Page(s): 169-179

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Information Journal Paper

Title

COMPUTATION OF DISCRETIZATION ERROR USING THE RULE OF GRADIENT RECOVERY AND ADAPTIVE REFINEMENT OF ELEMENTS

Author(s)

SANAEIRAD ALI | KASHANI ALI REZA | Issue Writer Certificate

Keywords

ADAPTIVE REFINEMENTQ1

RULE OF GRADIENT RECOVERYQ1

ERROR NORMQ1

ADAPTIVE FINITE ELEMENT METHODQ2

ERROR POST-PROCESSORQ1

DISCRETIZATIONQ1

Abstract

Since the beginning of modeling physical events by computers, the finite element method has been firmly accepted as one of the most efficient general techniques the numerical solution of a variety of problems encountered in engineering. But no one has provided an answer to accurately determine the DISCRETIZATION error value in analyzing a structural problem using finite element method and there is almost no accessible tool to select suitable sizes for elements and proper types of solutions and the size of each element is selected based on experts’ judgments.The present paper is an attempt to present a closed-form solution for three-node triangular elements in order to estimate the DISCRETIZATION error in continuous domains by using the RULE OF GRADIENT RECOVERY and h-refinement adaptivity. Computing the DISCRETIZATION error and diagnosing the suitability of the elements size are possible by the closed-form solution presented.

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APA: Copy

SANAEIRAD, ALI, & KASHANI, ALI REZA. (2016). COMPUTATION OF DISCRETIZATION ERROR USING THE RULE OF GRADIENT RECOVERY AND ADAPTIVE REFINEMENT OF ELEMENTS. AMIRKABIR JOURNAL OF CIVIL ENGINEERING (AMIRKABIR), 48(2), 169-179. SID. https://sid.ir/paper/165635/en

Vancouver: Copy

SANAEIRAD ALI, KASHANI ALI REZA. COMPUTATION OF DISCRETIZATION ERROR USING THE RULE OF GRADIENT RECOVERY AND ADAPTIVE REFINEMENT OF ELEMENTS. AMIRKABIR JOURNAL OF CIVIL ENGINEERING (AMIRKABIR)[Internet]. 2016;48(2):169-179. Available from: https://sid.ir/paper/165635/en

IEEE: Copy

ALI SANAEIRAD, and ALI REZA KASHANI, “COMPUTATION OF DISCRETIZATION ERROR USING THE RULE OF GRADIENT RECOVERY AND ADAPTIVE REFINEMENT OF ELEMENTS,” AMIRKABIR JOURNAL OF CIVIL ENGINEERING (AMIRKABIR), vol. 48, no. 2, pp. 169–179, 2016, [Online]. Available: https://sid.ir/paper/165635/en

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