DATA-ADAPTIVE RESOLUTION METHOD FOR THE PARAMETRIC THREE-DIMENSIONAL INVERSION OF TRIAXIAL BOREHOLE ELECTROMAGNETIC MEASUREMENTS

2010 ◽  
Vol 25 ◽  
pp. 93-111
Author(s):  
Faruk Omer Alpak ◽  
Carlos Torres-Verdin
2021 ◽  
Vol 480 ◽  
pp. 126494
Author(s):  
Munkh-Uchral Erdenebat ◽  
Yan-Ling Piao ◽  
Ki-Chul Kwon ◽  
Moung Hee Lee ◽  
Ki Hoon Kwon ◽  
...  

Author(s):  
Youcef Boutora ◽  
Noureddine Takorabet

Purpose This paper aims to propose a novel direct method for indefinite algebraic linear systems. It is well adapted for sparse linear systems, such as those of two-dimensional (2-D) finite elements problems, especially for coupled systems. Design/methodology/approach The proposed method is developed on an example of an indefinite symmetric matrix. The algorithm of the method is given next, and a comparison between the numbers of operations required by the method and the Cholesky method is also given. Finally, an application on a magnetostatic problem for classical methods (Gauss and Cholesky) shows the relative efficiency of the proposed method. Findings The proposed method can be used advantageously for 2-D finite elements in stepping methods without using a block decomposition of matrices. Research limitations/implications This method is advantageous for direct linear solving for 2-D problems, but it is not recommended at this time for three-dimensional problems. Originality/value The proposed method is the first direct solver for algebraic linear systems proposed since more than a half century. It is not limited for symmetric positive systems such as many of direct and iterative methods.


2021 ◽  
Author(s):  
Fanyu Meng ◽  
Mingzhe Liu ◽  
Aidong Xu ◽  
Ni Jin ◽  
Jingran Wang

Open Biology ◽  
2021 ◽  
Vol 11 (9) ◽  
pp. 210131 ◽  
Author(s):  
Peter Gorilak ◽  
Martina Pružincová ◽  
Hana Vachova ◽  
Marie Olšinová ◽  
Marketa Schmidt Cernohorska ◽  
...  

Expansion microscopy (ExM) has become a powerful super-resolution method in cell biology. It is a simple, yet robust approach, which does not require any instrumentation or reagents beyond those present in a standard microscopy facility. In this study, we used kinetoplastid parasites Trypanosoma brucei and Leishmania major , which possess a complex, yet well-defined microtubule-based cytoskeleton, to demonstrate that this method recapitulates faithfully morphology of structures as previously revealed by a combination of sophisticated electron microscopy (EM) approaches. Importantly, we also show that due to the rapidness of image acquisition and three-dimensional reconstruction of cellular volumes ExM is capable of complementing EM approaches by providing more quantitative data. This is demonstrated on examples of less well-appreciated microtubule structures, such as the neck microtubule of T. brucei or the pocket, cytosolic and multivesicular tubule-associated microtubules of L. major . We further demonstrate that ExM enables identifying cell types rare in a population, such as cells in mitosis and cytokinesis. Three-dimensional reconstruction of an entire volume of these cells provided details on the morphology of the mitotic spindle and the cleavage furrow. Finally, we show that established antibody markers of major cytoskeletal structures function well in ExM, which together with the ability to visualize proteins tagged with small epitope tags will facilitate studies of the kinetoplastid cytoskeleton.


2016 ◽  
Vol 12 (11) ◽  
pp. 5549-5562 ◽  
Author(s):  
Jakub Krajniak ◽  
Sudharsan Pandiyan ◽  
Eric Nies ◽  
Giovanni Samaey

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