[HTML][HTML] Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes
D Kuzmin - Journal of Computational and Applied Mathematics, 2012 - Elsevier
This paper is concerned with the development of general-purpose algebraic flux correction
schemes for continuous (linear and multilinear) finite elements. In order to enforce the …
schemes for continuous (linear and multilinear) finite elements. In order to enforce the …
Discrete maximum principles for nonlinear parabolic PDE systems
Discrete maximum principles (DMPs) are established for finite element approximations of
systems of nonlinear parabolic partial differential equations with mixed boundary and …
systems of nonlinear parabolic partial differential equations with mixed boundary and …
Maximum principle for the finite element solution of time‐dependent anisotropic diffusion problems
Preservation of the maximum principle is studied for the combination of the linear finite
element method in space and the θ‐method in time for solving time‐dependent anisotropic …
element method in space and the θ‐method in time for solving time‐dependent anisotropic …
Convergence and stability constant of the theta-method
I Faragó - Applications of Mathematics 2013, 2013 - dml.cz
The Euler methods are the most popular, simplest and widely used methods for the solution
of the Cauchy problem for the first order ODE. The simplest and usual generalization of …
of the Cauchy problem for the first order ODE. The simplest and usual generalization of …
Discrete maximum-minimum principle for a linearly implicit scheme for nonlinear parabolic FEM problems under weakened time restrictions
I Faragó, R Horváth, J Karátson - IMA Journal of Numerical …, 2024 - academic.oup.com
In this paper, we extend our earlier results in Faragó, I., Karátson, J. and Korotov, S.(2012,
Discrete maximum principles for nonlinear parabolic PDE systems. IMA J. Numer. Anal., 32 …
Discrete maximum principles for nonlinear parabolic PDE systems. IMA J. Numer. Anal., 32 …
Discrete maximum principle for parabolic problems solved by prismatic finite elements
T Vejchodský, S Korotov, A Hannukainen - Mathematics and Computers in …, 2010 - Elsevier
In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion–
reaction problem solved by means of prismatic finite elements and θ-method. We derive …
reaction problem solved by means of prismatic finite elements and θ-method. We derive …
Reliable numerical modelling of malaria propagation
We investigate biological processes, particularly the propagation of malaria. Both the
continuous and the numerical models on some fixed mesh should preserve the basic …
continuous and the numerical models on some fixed mesh should preserve the basic …
[PDF][PDF] Discrete maximum principles for the FEM solution of some nonlinear parabolic problems
JKAR ATSON - Electronic Transactions on Numerical Analysis, 2010 - emis.dsd.sztaki.hu
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2010. Copyright © 2010, Kent State University. ISSN 1068-9613. ETNA Kent State University …
2010. Copyright © 2010, Kent State University. ISSN 1068-9613. ETNA Kent State University …
On continuous and discrete maximum principles for elliptic problems with the third boundary condition
In this work, we present and discuss some continuous and discrete maximum principles for
linear elliptic problems of the second order with the third boundary condition (almost never …
linear elliptic problems of the second order with the third boundary condition (almost never …
[HTML][HTML] Discrete and continuous maximum principles for parabolic and elliptic operators
ME Mincsovics - Journal of computational and applied mathematics, 2010 - Elsevier
The major qualitative properties of linear parabolic and elliptic operators/PDEs are the
different maximum principles (MPs). Another important property is the stabilization property …
different maximum principles (MPs). Another important property is the stabilization property …