Professor, Department of Mechanical Engineering, and Department of Mathematics
Director, Michigan Institute for Computational Discovery & Engineering (MICDE)
krishna at umich dot edu
I am a computational scientist focusing on the development of scientific machine learning and methods for data-driven computational science. My work draws upon nonlinear physics, applied mathematics and numerical methods. I have worked for quite a few years in mathematical biology, biophysics and materials physics. Some specific problems that I have been thinking about recently are: (1) mathematical models of patterning and morphogenesis in developmental biology, (2) scale bridging using scientific machine learning, (3) using machine learning and graph-based methods to solve partial differential equations, (4) mechano-chemically driven phenomena in materials, such as phase transformations, electro-chemo-thermo-mechanics and the like, motivated by materials for batteries, electronics and structural alloys. For more details follow the link below to my group's home page.
Honors and awards
Alexander von Humboldt Research Fellowship, 2005-2006
Presidential Early Career Award for Scientists and Engineers, 2004
Department of Energy Early Career Award for Scientists and Engineers, 2004
Courses: open access and on-campus
On May 2 2017, we launched our second Massively Open Online Class: Introduction to Continuum Physics on the edX platform. Try out its novel "collaboration in the Cloud" feature for continuum physics assignment problems!
On December 5 2016, we relaunched a Massively Open Online Class on Finite Element Methods on the Coursera platform. Take a look!
Coming soon: A third MOOC on Advanced Continuum Physics, also on EdX.
Here are links to two series of recorded lectures that are openly available, and are being updated on a regular basis:
Classes that I either commonly teach or have taught at University of Michigan
ME605: Advanced Finite Element Methods (advanced graduate level)
ME599: Multiphysics Phenomena at Microscales (rarely offered, advanced graduate)
ME511: Theory of Solid Continua (Continuum Mechanics, entry-level graduate)
ME505: Finite Element Methods (entry-level graduate)
ME382: Mechanical Behavior of Materials (junior year)