Name
Abstract | ||
|---|---|---|
In this paper, we propose a natural collocation method with exact imposition of mixed boundary conditions based on a generalized Gauss-Lobatto-Legendre-Birhoff quadrature rule that builds in the underlying boundary data. We provide a direct construction of the quadrature rule, and show that the collocation method can be implemented as efficiently as the usual collocation scheme for PDEs with Dirichlet boundary conditions. We apply the collocation method to some model PDEs and the time-harmonic Helmholtz equation, and demonstrate its spectral accuracy and efficiency by various numerical examples. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s10915-009-9325-x | J. Sci. Comput. |
Keywords | Field | DocType |
model pdes,usual collocation scheme,collocation method,exact imposition,quadrature formulae · mixed boundary conditions · collocation methods · spectral accuracy,direct construction,natural collocation method,mixed boundary conditions,dirichlet boundary condition,generalized gauss-lobatto-legendre-birhoff quadrature rule,mixed boundary condition,quadrature rule,underlying boundary data,helmholtz equation | Gauss–Kronrod quadrature formula,Boundary knot method,Mathematical optimization,Robin boundary condition,Orthogonal collocation,Mathematical analysis,Singular boundary method,Collocation method,Mathematics,Collocation,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
42 | 2 | 1573-7691 |
Citations | PageRank | References |
2 | 0.40 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhong-qing Wang | 1 | 140 | 20.28 |
| Li-Lian Wang | 2 | 367 | 43.47 |