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math.AP2018
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…
math.AP2018
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…
math.AP2015
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…