
doi: 10.1007/bf00942764
The dual reciprocity boundary element approach allows for inhomogeneous partial differential equations (PDE) to be treated only as boundary value problems upon discretization. The key factor in this approach is the adoption of a simple particular solution to the inhomogeneous PDE which is approximated over the domain. This interesting paper addresses this subject and provides important convergence demonstrations for Gaussian radial basis function approximations, including error bound estimations.
convergence, Error bounds for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, error bound, Gaussian radial basis function, Boundary element methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, dual reciprocity boundary element method
convergence, Error bounds for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, error bound, Gaussian radial basis function, Boundary element methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, dual reciprocity boundary element method
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