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2010•Unpublished venueRequires access

Meshless Local Petrov-Galerkin in solving microwave guide problems

Bruno C. Correa, Élson J. Silva, Alexandre R. Fonseca, Diogo B. Oliveira, Renato C. Mesquita

Open publisher page 6 citations

Abstract

This paper describes a meshless approach to obtain accurate solutions for propagating microwave problems. The Meshless Local Petrov-Galerkin (MLPG) method, with the Heaviside step test functions and Radial basis point interpolation method (RPIM) shape functions, is used. Results are obtained for a two-dimensional model and are compared with a consolidated Finite Element Method (FEM).

About this research paper

What this paper is about

This paper describes a meshless approach to obtain accurate solutions for propagating microwave problems. The Meshless Local Petrov-Galerkin (MLPG) method, with the Heaviside step test functions and Radial basis point interpolation method (RPIM) shape functions, is used. Results are obtained for a two-dimensional model and are compared with a consolidated Finite Element Method (FEM).

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper describes a meshless approach to obtain accurate solutions for propagating microwave problems. The Meshless Local Petrov-Galerkin (MLPG) method, with the Heaviside step test functions and Radial basis point interpolation method (RPIM) shape functions, is used. Results are obtained for a two-dimensional model and are compared with a consolidated Finite Element Method (FEM).

Key concepts: Petrov–Galerkin method, Heaviside step function, Regularized meshless method, Interpolation (computer graphics), Finite element method, Meshfree methods, Galerkin method, Applied mathematics

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