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• Ph D in Mathematics, Purdue University (2006)
• MS in Mathematics, Seoul National University (1998)
• BS in Mathematics Education, Korea University (1996)

• A Monolithic Mixed Finite Element Method for a Fluid-Structure Interaction Problem Applied Mathematics and Computation 363 (2019), Maranda L. Bean, Son-Young Yi.
• A lowest-order weak Galerkin method for linear elasticity Journal of Computational and Applied Mathematics 350 (2019), Son-Young Yi.
• A study of two modes of locking in poroelasticity SIAM Journal of Numerical Analysis 55 4 (2017), Son-Young Yi.
• A block-diagonal preconditioner for a four-field mixed finite element method for Biot's equations Applied Numerical Mathematics 122 (2017), M. L. Bean, Konstantin Lipnikov, Son-Young Yi.
• Iteratively coupled solution strategies for a four-field mixed finite element method for poroelasticity International Journal for Numerical and Analytical Methods in Geomechanics 41 2 (2017), Son-Young Yi, Maranda L. Bean.

• Locking in Poroelasticity: Causes and Remedies (2019), Volume Seoul National University, Seoul, Korea, Son-Young Yi.
• A Lowest-OrderWeak Galerkin Method for Linear Elasticity (2019), Volume Seoul, Korea, Son-Young Yi.
• Weak Galerkin method for linear elatsicity (2019), Volume Yonsei University, Seoul, Korea, Son-Young Yi.
• A weak Galerkin method for linear elatsicity (2019), Volume Tallahassee, FL, Son-Young Yi.
• Two Modes of Locking in Poroelasticity (2018), Volume Seoul, Korea, Son-Young Yi.

• Modeling, Analysis and Simulation of Multiscale Nonlinear Systems: Workshop at Oregon State University
• Modeling, Analysis, and Simulation of Multiscale Preferential Flow
• Visualization and Analysis of Giant Virus Structure
• A mixed finite element framework for Biot's consolidation model and its interface problems
• Development, analysis, and implementation of numerical methods for flow in deformable porous media