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http://worldcat.org/entity/work/id/20644805

Exponentially stable approximations of weakly damped wave equations

We consider wave equations with damping in the boundary conditions. Techniques to ascertain the uniform preservation under approximation of exponential stability are presented. Several schemes for which preservation can be guaranteed are analyzed. Numerical results that demonstrate the lack of stability under approximation for several popular schemes (including standard finite difference and finite element schemes) are given.

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  • "We consider wave equations with damping in the boundary conditions. Techniques to ascertain the uniform preservation under approximation of exponential stability are presented. Several schemes for which preservation can be guaranteed are analyzed. Numerical results that demonstrate the lack of stability under approximation for several popular schemes (including standard finite difference and finite element schemes) are given."@en

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  • "Exponentially stable approximations of weakly damped wave equations"
  • "Exponentially stable approximations of weakly damped wave equations"@en
  • "Exponentially Stable Approximations of Weakly Damped Wave Equations"@en

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