We present a novel image-based multiscale multigrid solver that can efficiently address the computational complexity associated with highly heterogeneous systems. This solver is developed based on an image-based, multiresolution model that enables reliable data flow between corresponding computational grids and provides large data compression. A set of inter-grid operators is constructed based on the microstructural data which remedies the issue of missing coarse grid information. Moreover, we develop an image-based multiscale preconditioner from the multiscale coarse images which does not traverse through any intermediate grid levels and thus leads to a faster solution process. Finally, an image-based reduced order model is designed by prolongating the coarse-scale solution to approximate the fine-scale one with improved accuracy. The numerical robustness and efficiency of this image-based computational framework is demonstrated on a two-dimensional example with high degrees of data heterogeneity and geometrical complexity.

D. Yushu and K. Matous, "The image-based multiscale multigrid solver, preconditioner, and reduced order model", Journal of Computational Physics, 406, 109165, (2020).

https://www.sciencedirect.com/science/article/pii/S0021999119308708

In 2019, Elsevier CAGD will be publishing a special issue on ``Generalized Barycentric Coordinates,'' edited by Michael S. Floater (University of Oslo), Kai Hormann (University of Lugano), and myself.

If you expect to have any new contribution in this area, then please do consider submitting a paper to this special issue.

All the details about the special issue can be found in the attached ``Call for Papers.''

Please do not hesitate to contact me if you have any questions.

Best wishes,

-suku.

Check out my series on creating a particle viz tool in Javascript. Part 4 is at http://www.parresianz.com/javascript/typescript/threejs/vue/vtk-threejs-renderer/

-- Biswajit

================================================================
Call for participation
--------------------------------------------------------------------------------------------------------------
Workshop on Barycentric Coordinates in Geometry
Processing and Finite/Boundary Element Methods
--------------------------------------------------------------------------------------------------------------
July 25-27, 2012, Columbia University, New York
================================================================

Dear colleagues:

We welcome you to come to New York from July 25-27, 2012 and participate in the NSF-supported workshop on ``Generalized Barycentric Coordinates and Applications.'' Information on the workshop is available at the website: http://www.inf.usi.ch/hormann/nsfworkshop

The main goal is to bring together people from graphics and finite elements, and to learn from each other about methods, applications, and open problems.

Topics to be covered in this workshop include, but are not limited to, the following:

- Barycentric coordinates in computer graphics and geometry processing
- Wachspress finite elements and boundary elements on polygons and polyhedra
- Barycentric coordinates for mesh parametrization, image warping, and mesh deformation
- Barycentric coordinates in computational mathematics
- Connections between barycentric coordinates, discrete differential geometry, and mimetic finite elements

The workshop will include tutorials, plenary lectures, contributed talks, and poster presentations.

Students and young researchers who would like to attend the workshop are welcome to submit a travel fellowship application. Information on submitting the application is provided on the workshop web page.

Important Dates:

- Deadline for Travel Fellowship applications June 26, 2012
- Workshop dates July 25-27, 2012

Best wishes,
G. Dasgupta, E. Grinspun, K. Hormann, and N. Sukumar

o E-mail : nsukumar@ucdavis.edu, kai.hormann@usi.ch
o Website : http://www.inf.usi.ch/hormann/nsfworkshop

Brief description: The Advanced Computational Research Laboratory, affiliated
with the Department of Mechanical, Aerospace and Nuclear Engineering at Rensselaer
Polytechnic Institute, Troy, NY, USA invites applications for a postdoctoral
position to work on a project funded by the National Institute of Biomedical
Imaging and Bioengineering of the NIH on developing real time surgical
simulation technology. The ideal candidate will develop the
next generation surgical simulator based on advanced physics-based
computational methods in collaboration with surgeons from Harvard Medical
School.

Desired background:

Desirable
background for this position includes:

· Degrees in Mechanical Engineering, Computer Science or
related field.

· Strong background in Computer Graphics. Specific knowledge
in real time rendering is a plus.

· Background in
collision detection and response algorithms

· Excellent programming skills especially in C++

· Experience in developing virtual environments involving
haptics.

· Background in high performance scientific computations

· Sound background in
mechanics and finite elements

Application procedure:

Interested candidates may apply to Professor Suvranu
De (des@rpi.edu) with a cover letter, detailed
CV, a copy of the publication deemed as best representative of the candidate’s
creative research, and names and email addresses of three referees.
Applications from minority and women are especially encouraged. RPI is an Equal
opportunity/ Affirmative Action employer.