A-posteriori error estimation for the finite point method with applications to compressible flow
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mechanics"
DOI: 10.1007/s00466-017-1402-7
Abstract: An a-posteriori error estimate with application to inviscid compressible flow problems is presented. The estimate is a surrogate measure of the discretization error, obtained from an approximation to the truncation terms of the governing equations.… read more here.
Keywords: error; compressible flow; finite point; point method ... See more keywords
Uniform Convergent Tailored Finite Point Method for Advection–Diffusion Equation with Discontinuous, Anisotropic and Vanishing Diffusivity
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DOI: 10.1007/s10915-016-0254-1
Abstract: We propose two tailored finite point methods for the advection–diffusion equation with anisotropic tensor diffusivity. The diffusion coefficient can be very small in one direction in some part of the domain and be discontinuous at… read more here.
Keywords: vanishing diffusivity; advection diffusion; diffusivity; tailored finite ... See more keywords
A higher order implicit adaptive finite point method for the Burgers' equation
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2023.2197082
Abstract: ABSTRACT The method proposed in this manuscript is constructed for the classical non-linear Burgers' equation on the basis of the tailored finite point method. Attempts have been made in the direction to enhance the tailored… read more here.
Keywords: point method; finite point; method; burgers equation ... See more keywords