47 citations · 49 across the 5 of their papers we have counts for
7 papers
A Short Note on a Weighted Friedrichs Inequality
Immanuel Anjam, Dirk Pauly
In this short note we derive, for bounded domains, an upper bound for a Friedrichs type constant in a weighted Friedrichs type inequality. This upper bound generalizes a well known…
A Short Note on Helmholtz Decompositions for Bounded Domains in
Immanuel Anjam
In this short note we consider several widely used L^2-orthogonal Helmholtz decompositions for bounded domains in R^3. It is well known that one part of the decompositions is a sub…
An Elementary method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations
Immanuel Anjam, Dirk Pauly
In this paper we present a simple method of deriving a posteriori error equalities and estimates for linear elliptic and parabolic partial differential equations. The error is meas…
Functional A Posteriori Error Control for Conforming Mixed Approximations of the Reaction-Convection-Diffusion Problem
Immanuel Anjam
In this paper we show how to obtain the exact value of the global error of a conforming mixed approximation of the reaction-convection-diffusion problem. We operate in the framewor…
Functional A Posteriori Error Control for Conforming Mixed Approximations of Coercive Problems with Lower Order Terms
Immanuel Anjam, Dirk Pauly
We derive functional a posteriori error equalities and constant free two sided estimates for certain types of partial differential equations. The error is measured in a combined no…
Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements
Immanuel Anjam, Jan Valdman
We propose an effective and flexible way to assemble finite element stiffness and mass matrices in MATLAB. We apply this for problems discretized by edge finite elements. Typical e…
Functional A Posteriori Error Equalities for Conforming Mixed Approximations of Elliptic Problems
Immanuel Anjam, Dirk Pauly
In this paper we show how to find the exact error (not just an estimate of the error) of a conforming mixed approximation by using the functional type a posteriori error estimates…