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math.NA2023
Meshfree method for solving the elliptic Monge-Ampere equation with Dirichlet boundary
Zhiyong Liu, Qiuyan Xu
We prove the convergence of meshfree method for solving the elliptic Monge-Ampere equation with Dirichlet boundary on the bounded domain. L2 error is obtained based on the kernel-b…
math.NA2023
Convergence of one-level and multilevel unsymmetric collocation for second order elliptic boundary value problems
Zhiyong Liu, Qiuyan Xu
Thepaperprovesconvergenceofone-levelandmultilevelunsymmetriccollocationforsecondorderelliptic boundary value problems on the bounded domains. By using Schaback's linear discretizat…