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Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations
| Content Provider | CiteSeerX |
|---|---|
| Author | Davies, Penny J. Dugald Duncan, B. |
| Abstract | Abstract. Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations. Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to be unstable. Collocation schemes are easier to implement than full finite element formulations, but little appears to be known about their stability and convergence. Here we derive and analyse some new stable collocation schemes for the single layer equation for transient acoustic scattering, and use (spatial) Fourier and (temporal) Laplace transform techniques to demonstrate that such stable schemes are second order convergent. |
| File Format | |
| Journal | SIAM J. Numer. Anal |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Collocation Scheme Retarded Potential Integral Equation Numerical Method Stable Scheme New Stable Collocation Scheme Full Finite Element Formulation Time Domain Boundary Integral Formulation Single Layer Equation Transient Acoustic Scattering Second Order Convergent Potential Integral Equation Laplace Transform Technique |
| Content Type | Text |
| Resource Type | Article |
