9 citations · 9 across the 7 of their papers we have counts for
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Compact implicit high-resolution numerical scheme for multicomponent transport problems with Langmuir sorption
Dagmar Zakova, Peter Frolkovic
We present a compact implicit high-resolution finite volume scheme for one-dimensional multicomponent transport problems with nonlinear Langmuir sorption. The method combines a sec…
Unconditionally local bounds preserving numerical scheme based on inverse Lax-Wendroff procedure for advection on networks
Peter Frolkovič, Svetlana Krišková, Katarína Lacková
We derive an implicit numerical scheme for the solution of advection equation where the roles of space and time variables are exchanged using the inverse Lax-Wendroff procedure. Th…
Eikonal boundary condition for level set method
Jooyoung Hahn, Karol Mikula, Peter Frolkovič
In this paper, we propose to use the eikonal equation as a boundary condition when advective or normal flow equations in the level set formulation are solved numerically on polyhed…
Compact implicit high resolution numerical method for solving transport problems with sorption isotherms
Dagmar Zakova, Peter Frolkovic
This study investigates numerical methods to solve nonlinear transport problems characterized by various sorption isotherms with a focus on the Freundlich type of isotherms. We des…
Numerical solution of two dimensional scalar conservation laws using compact implicit numerical schemes on Cartesian meshes
Peter Frolkovic, Dagmar Zakova
This paper deals with the numerical solution of conservation laws in the two dimensional case using a novel compact implicit time discretization that enables applications of fast a…
Unconditionally stable higher order semi-implicit level set method for advection equations
Peter Frolkovič, Nikola Gajdošová
We present compact semi-implicit finite difference schemes on structured grids for numerical solutions of the advection by an external velocity and by a speed in normal direction t…