In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large enough to stabilize the method. A central idea in the analysis is to construct an auxiliary solution from the discontinuous Galerkin solution by ...

The effects of colony-stimulating factors (CSFs), phytohemagglutinin (PHA), and hydrocortisone on the growth of human bone marrow hematopoietic progenitor cells (granulocyte-macrophage; GM) were analyzed in a limiting-dilution assay (LDA). Both low-density bone marrow cells separated by discontinuous Percoll gradients and a T cell-depleted and progenitor-enriched cell fraction obtained by the c...

Tumor vessels often lack the smooth muscle layer, and the instability is conducive to tumor invasion and metastasis. The effect of tumor microenvironment on vascular smooth muscle cells needs to be explored. In the present study, we examined the density of the tumor vessels in human colorectal cancer tissues, and used the tumor conditioned medium of human colorectal cancer HT29 cells to mimic t...

ONSIDERABLE EVIDENCE IS now available indicating that normal adult hemoglobin (hemoglobin A) is heterogeneous. Sharp and well-defined fractions of hemoglobin A, designated A2 and A3, were obtained by Kunkel (11), who used insoluble potato starch as a supporting medium for electrophoresis. Kunkel also was the first to measure quantitatively the amount of hemoglobin A2 and to correlate increases ...

We prove stability and derive error estimates for the recently introduced central discontinuous Galerkin method, in the context of linear hyperbolic equations with possibly discontinuous solutions. A comparison between the central discontinuous Galerkin method and the regular discontinuous Galerkin method in this context is also made. Numerical experiments are provided to validate the quantitat...

Three discontinuous operating modes of PWM converters are considered in this paper-the discontinuous inductor current mode (DICM), the discontinuous capacitor voltage mode (DCVM) and a previously unidentified mode named discontinuous quasi-resonant mode (DQRM). DC and smallsignal ac analyses are applicable to all basic PWM converter topologies. Any particular topology is taken into account via ...

Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from its inception over 30 years ago. This paper develops a new computational formulation that combines the advantages of discontinuous Galerkin methods with the data structure of their continuous Galerkin counterparts. The new method uses local, element-wise problems to project a continuous finite element space ...