We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations.In the theoretical part,we proved the convergence of the proposed method providing that the c...We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations.In the theoretical part,we proved the convergence of the proposed method providing that the collocation points are sufficiently dense.For numerical verification,direct solver and a subspace selection process for the trial space(the so-called adaptive greedy algorithm)is employed,respectively,for small and large scale problems.展开更多
基金supported by CERG Grants of Hong Kong Research Grant CouncilFRG grants of Hong Kong Baptist University.
文摘We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations.In the theoretical part,we proved the convergence of the proposed method providing that the collocation points are sufficiently dense.For numerical verification,direct solver and a subspace selection process for the trial space(the so-called adaptive greedy algorithm)is employed,respectively,for small and large scale problems.
