METHOD FOR SOLVING PARTIAL DIFFERENTIAL EQUATION AND RELATED DEVICE

Title:

METHOD FOR SOLVING PARTIAL DIFFERENTIAL EQUATION AND RELATED DEVICE

Document Type and Number:

WIPO Patent Application WO/2023/143110

Kind Code:

A1

Abstract:

The present application provides a method for solving a partial differential equation and a related device. In calculation of a sound field of a three-dimensional space, the cost of the calculation process can be reduced, and the error of the calculation result can be reduced. The method of the present application comprises: when a sound field of a target three-dimensional space needs to be obtained, a partial differential equation can be first obtained, the partial differential equation being used for describing the sound field of the target three-dimensional space to be solved, the target three-dimensional space comprising N grid points, and the length of an edge formed by connecting the N grid points being less than a first threshold. Then, the partial differential equation is converted to obtain a first finite element equation comprising penalty parameters of the N grid points, the penalty parameters of the N grid points all being penalty parameters suitable for a three-dimensional scene and all being obtained on the basis of a numerical method, i.e., the penalty parameter of an ith grid point being calculated on the basis of the coordinates of the ith grid point and a preset sound wave incident angle, and i being equal to 1, 2, ..., or N. Finally, the first finite element equation is solved to obtain the sound field of the target three-dimensional space.

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Inventors:

KOU ZHENZHONG (CN)
DONG SIWEI (CN)
LI BUYANG (CN)

Application Number:

PCT/CN2023/072015

Publication Date:

August 03, 2023

Filing Date:

January 13, 2023

Export Citation:

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Assignee:

HUAWEI TECH CO LTD (CN)

International Classes:

G06F17/13

Domestic Patent References:

WO2015186130A1

2015-12-10

Foreign References:

CN104504215A	2015-04-08
CN113221409A	2021-08-06
CN111639429A	2020-09-08

Other References:

WU, HAIJUN: "Fem And Cip-Fem for Helmholtz Equation with High Wave Number", MATHEMATICA NUMERICA SINICA, vol. 40, no. 2, 14 May 2018 (2018-05-14), pages 191 - 213, XP009547585, ISSN: 0254-7791

Attorney, Agent or Firm:

SHENPAT INTELLECTUAL PROPERTY AGENCY (CN)

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