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Until Dec 2023: Professor, Department of Mechanical Engineering, and Department of Mathematics, University of michigan
Until Dec 2023: Professor, Department of Mechanical Engineering, and Department of Mathematics, University of michigan
jan 2024-onward: professor, department of Aerospace and mechanical engineering, university of southern california
jan 2024-onward: professor, department of Aerospace and mechanical engineering, university of southern california
krishna at umich dot edu, garikipa at usc dot edu
krishna at umich dot edu, garikipa at usc dot edu
Research
Research
My research is in computational science and scientific artificial intelligence, including machine learning and data-driven modelling. I have applied these approaches to physics discovery by model inference, scale bridging, partial differential equation soolvers, representation of complexity and constructing reduced-order models of high-dimensional systems. My research is motivated by and applied to phenomena in bioengineering, biophysics, mathematical biology and materials physics. Of specific interest to me are patterning and morphogenesis in developmental biology, cellular biophysics, soft matter and mechano-chemical phase transformations in materials. More fundamentally, the. foundations of my research lie in applied mathematics, numerical methods and scientific computing.
Research Group
Research Group
Honors and awards
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
2022 James Knowles Lecturer, Caltech
Fellow of the US Association for Computational Mechanics
Fellow of the International Association for Computational Mechanics
Publications
Publications
Courses: open access and on-campus
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 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!
On December 5 2016, we relaunched a Massively Open Online Class on Finite Element Methods on the Coursera platform. Take a look!
Here are links to two series of recorded lectures that are openly available, and are being updated on a regular basis:
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
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)
Editorships and leadership in the academic community
Editorships and leadership in the academic community
Editorial board member: Nature Scientific Reports; Computer Methods in Applied Mechanics and Engineering; Computational Mechanics; Engineering Mechanics; Engineering with Computers; Brain Multiphysics
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