Contact express: a new approach for contact problems
Noe Reyes Rivas
Applied Mathematics, Brown University
Time: 11:00 am - 12:00 pm (EST), Feb. 05, Thursday
Zoom Meeting ID: 824 6447 8256
Passcode: 003801
Abstract
Contact express is based on a primal variable reformulation of the proximal Galerkin method for contact mechanics. We apply the method to Signorini's problem, the classical model of a three-dimensional linearly elastic body resting on a rigid, frictionless surface, and provide an implementation using the finite element software MFEM. Analyzing the convergence of contact express, we demonstrate q-linear convergence in the number of iterations for fixed step sizes and linear convergence in the number of elements for lowest-order discretizations. Our results show that contact express is a promising approach for solving contact problems.
Bio:
Noe Reyes Rivas was born and raised in New York City. He earned a bachelor's degree in mathematics from Andrews University in 2023. Currently, he is a third-year Ph.D. student at Brown University, where he studies applied mathematics and focuses on numerical methods for partial differential equations under the guidance of Brendan Keith, Ph.D. Noe has been playing the piano for over a decade and has a strong interest in jazz music, and also enjoys engaging in philosophical debate and reasoning..
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