A maximum principle preserving meshfree method for anisotropic diffusion equations

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

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Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
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A nonlocal operator method for solving partial differential equations
A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes
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A new nonlinear finite volume scheme preserving positivity for diffusion equations
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A blob method for the aggregation equation
Smoothed particle hydrodynamics: theory and application to non-spherical stars
Vortex Methods. I: Convergence in Three Dimensions
A unified stability analysis of meshless particle methods
Finite volume element methods for nonequilibrium radiation diffusion equations
Monotone meshfree methods for linear elliptic equations in non-divergence form via nonlocal relaxation

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