# An improved form of the hypersingular boundary integral equation for exterior acoustic problems

@inproceedings{Li2010AnIF, title={An improved form of the hypersingular boundary integral equation for exterior acoustic problems}, author={Shande Li and Qibai Huang}, year={2010} }

An improved form of the hypersingular boundary integral equation (BIE) for acoustic problems is developed in this paper. One popular method for overcoming non-unique problems that occur at characteristic frequencies is the well-known Burton and Miller (1971) method [7], which consists of a linear combination of the Helmholtz equation and its normal derivative equation. The crucial part in implementing this formulation is dealing with the hypersingular integrals. This paper proposes an improved… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 27 REFERENCES

## A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with C boundary elements

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## The application of integral equation methods to the numerical solution of some exterior boundary-value problems

VIEW 8 EXCERPTS

HIGHLY INFLUENTIAL

## A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## An effective method for solving the hyper‐singular integral equations in 3‐D acoustics

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Improved Integral Formulation for Acoustic Radiation Problems

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL