2015•Unpublished venueRequires access

Solution of helmholtz equation starting with the frequency independent Laplace's equation

Tapan K. Sarkar, Magdalena Salazar‐Palma

Abstract

A new boundary integral method for solving the general Helmholtz equation has been developed starting from the frequency independent Laplace's equation. The new formulation is based on the Method of Moments solution of Laplace's equation. The main feature of this new formulation is that the boundary conditions are satisfied independent of the region node discretizations. The numerical solution of the present method is compared with finite difference and finite element solutions.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Laplace's equation, Helmholtz equation, Mathematical analysis, Mathematics, Green's function for the three-variable Laplace equation, Laplace transform, Poincaré–Steklov operator, Finite element method