A NEW ADAPTIVE ELEMENT FREE GALERKIN ALGORITHM BASED ON THE BACKGROUND MESH

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Kamranian Maryam; Dehghan mehdi

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

A NEW ADAPTIVE ELEMENT FREE GALERKIN ALGORITHM BASED ON THE BACKGROUND MESH

Author(s)

Kamranian Maryam | Dehghan mehdi | Issue Writer Certificate

Keywords

MESHLESS METHODS

ADAPTIVE ELEMENT FREE GALERKIN (EFG) METHOD

A POSTERIORI ERROR ESTIMATE

MOVING LEAST SQUARES (MLS) APPROXIMATION

CRACK PROBLEM

Abstract

IN THIS WORK WE PRESENT AN ADAPTIVE ELEMENT FREE GALERKIN PROCEDURE BASED ON BACKGROUND MESH FOR MESHLESS METHODS USING MLS. IT COMPRISES A CELL ENERGY ERROR ESTIMATE AND A LOCAL DOMAIN REFINEMENT TECHNIQUE. THE ERROR ESTIMATE DIFFERS FROM CONVENTIONAL POINT WISE APPROACHES IN THAT IT EVALUATES ERROR BASED ON INDIVIDUAL CELLS INSTEAD OF POINTS. IN THIS TECHNIQUE, EACH NODE IS ASSIGNED A SCALING FACTOR TO CONTROL LOCAL NODAL DENSITY AND ACHIEVE HIGH EFFICIENCY IN DOMAIN REFINEMENT. REFINEMENT OF THE NEIGHBORHOOD OF A NODE IS ACCOMPLISHED SIMPLY BY ADJUSTING ITS SCALING FACTOR. SOME CHALLENGING PROBLEMS ARE DISCUSSED TO SHOW THAT THE PROPOSED ADAPTIVE PROCEDURE IS EFFECTIVE, EFFICIENT AND CONVERGENT.

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APA: Copy

Kamranian, Maryam, & Dehghan, mehdi. (2015). A NEW ADAPTIVE ELEMENT FREE GALERKIN ALGORITHM BASED ON THE BACKGROUND MESH. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921721/en

Vancouver: Copy

Kamranian Maryam, Dehghan mehdi. A NEW ADAPTIVE ELEMENT FREE GALERKIN ALGORITHM BASED ON THE BACKGROUND MESH. 2015. Available from: https://sid.ir/paper/921721/en

IEEE: Copy

Maryam Kamranian, and mehdi Dehghan, “A NEW ADAPTIVE ELEMENT FREE GALERKIN ALGORITHM BASED ON THE BACKGROUND MESH,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921721/en

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