Convection-diffusion-reaction equations model the conservation of scalar quantities. From
the analytic point of view, solutions of these equations satisfy, under certain conditions …

This article outlines the research on the application of the variational multiscale theory
(VMS) to a posteriori error estimation. VMS theory was initially developed by Professor …

In this study, a subnanometer heterodyne interference signal processing algorithm with a
dynamic filter is proposed. The algorithm can effectively reduce the measurement error …

In this note, we extend the analysis for the residual-based a posteriori error estimators in the
energy norm defined for the algebraic flux correction (AFC) schemes (Jha, 2021) to the …

Based on recent developments regarding the analysis of algebraic flux correction schemes,
we consider a locally bound-preserving discretization of the time-dependent advection …

Three algebraically stabilized finite element schemes for discretizing convection-diffusion-
reaction equations are studied on adaptively refined grids. These schemes are the algebraic …

We consider advection–diffusion–reaction problems, where the advective or the reactive
term is dominating with respect to the diffusive term. The solutions of these problems are …

In this thesis, we investigate various systems of strongly-coupled nonlin-ear partial and
ordinary differential equations, which mainly originate from bio-science, both theoretically …

Solutions of convection-diffusion-reaction equations may possess layers, ie narrow regions
where the solution has a large gradient (in particular for convection-dominated equations) …

In this talk we consider three algebraically stabilized finite element schemes for discretizing
convection-diffusion-reaction equations on adaptively refined grids. These schemes are the …