May 27, 2024 · We establish in this case some error bounds for both the solution and the approximation of the gradient component orthogonal to the mesh faces.
5 days ago · In the present paper, we study the same scheme for the Laplace equation, and prove an optimal bound on the error; more precisely we show that ...
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity than ...
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity ...
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity ...
Both of the two schemes can attain second-order accuracy for the solution and first-order accuracy for the flux. A nonlinear monotone scheme solving nonlinear ...
The Two-Point Flux Approximation Scheme (TPFA). Construction of numerical fluxes. ... Approximation error for fluxes at interfaces. Monotony / Discrete ...
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What is the two point flux approximation?
Aug 20, 2018 · The finite-volume scheme is based on two-point flux approximations with “double” upwind mobilities. The existence of solutions to the fully ...
The results show that all schemes show a similar convergence behavior, except for the two-point flux approximation scheme, and seem to be coercive.
Sep 13, 2024 · In this paper, we deal with numerical approximations for solving the Black-Scholes Partial Differential Equation (PDE).