Scattered data interpolation and approximation for computer graphics
ACM SIGGRAPH ASIA 2010 Courses
Maximum-entropy meshfree method for incompressible media problems
Finite Elements in Analysis and Design
Refinement of operator-valued reproducing kernels
The Journal of Machine Learning Research
An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem
SIAM Journal on Numerical Analysis
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We develop a new discretization scheme for the Stokes equations using analytically divergence-free approximation spaces. Our scheme is based upon a meshfree method using matrix-valued kernels. The scheme works in arbitrary space dimension and can produce arbitrarily smooth and hence high order approximations. After deriving the scheme, we analyze the discretization error in Sobolev spaces and give a numerical example.