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A fourth-order energy for the three-dimensional wave equation with second-order absorbing boundary conditions

✍ Scribed by Dongwoo Sheen; Wonkyu Sohn


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
480 KB
Volume
14
Category
Article
ISSN
0893-9659

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✦ Synopsis


we mtroduce a fourth-order energy for the three-chmenslonal wave equation m rectangular domams with second-order absorbmg boundary condltlons A decay rate of the energy m the domam with respect to time IS estimated m terms of the boundary integral Absorbmg boundary conchtlons considered m tins paper mclude the treatment of the case of anmlnlatlon of obliquely incident waves arrlvmg at the boundary Numerical results are also shown


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The analysis and solution of wave equations with absorbing boundary conditions by using a related first order hyperbolic system has become increasingly popular in recent years. At variance with several methods which rely on this transformation, we propose an alternative method in which such hyperbol