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Numerical Approximation of Acoustic Equation using Radial Basis Function-discontinuous Galerkin Method
Kresno W.S.a, Wardani S.P.R.a, Susila E.b, Pranowoc
a Civil Engineering Faculty, Diponegoro University, Semarang, Indonesia
b Civil and Environmental Engineering Faculty, Bandung Institute of Technology, Bandung, Indonesia
c Informatics Department, Atmajaya University, Yogyakarta, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2017 The Authors.Acoustic equation is an important equation in order to determine wave propagation in a medium. The Application of acoustic equations vastly known, i.e. elastic wave propagation, fluid dynamics and gas dynamics equivalent. This paper present Radial Basis Function-Discontinuous Galerkin Method (RBF-DGM) in order to solve acoustic equation. RBF-DGM method is a numerical method, proposed to solve partial differential equations (PDE). RBF-DGM approximated the space domain with RBF and using DGM for time integration method. RBF-DGM application presented then in order to solve acoustic equation. The numerical of RBF-DGM presented, and compared with analytical solution as a result. The numerical results, show that the RBF-DGM (linear) predicting the exact results or analytical well.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Acoustic equation,Discontinuous Galerkin methods,Exact results,Numerical approximations,Numerical results,Partial differential equations (PDE),Radial basis functions,Time integration methods[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Acoustic wave,Discontinuous Galerkin Method,Numerical Method,RadialBasis Function[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1016/j.proeng.2017.01.375[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]